An original Thinka practice paper modelled on the structure and difficulty of the Nov 2023 (V1) Cambridge International A Level Science - Combined (0653) paper. Not affiliated with or reproduced from Cambridge.
Paper 11 (選擇題 Core)
Forty multiple-choice questions based on the Core syllabus. Answer all questions.
40 題目 · 40 分
題目 1 · 選擇題
1 分
A student investigates the effect of temperature on the rate of an enzyme-controlled reaction. What happens to the enzyme molecules and the rate of reaction at temperatures far above the optimum temperature?
A.The enzyme molecules denature and the rate of reaction decreases to zero.
B.The enzyme molecules denature and the rate of reaction increases.
C.The enzyme molecules are undamaged but the rate of reaction decreases.
D.The enzyme molecules gain kinetic energy and the rate of reaction increases.
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解題
At temperatures far above the optimum, the active site of the enzyme changes shape permanently. This is called denaturation. The substrate can no longer fit into the active site, so the reaction stops and the rate decreases to zero.
評分準則
1 mark: Identify that high temperatures denature the enzyme and decrease the reaction rate to zero.
題目 2 · 選擇題
1 分
A ray of light strikes a flat mirror. The angle between the incident ray and the mirror surface is \(35^\circ\). What is the angle of reflection?
A.\(35^\circ\)
B.\(55^\circ\)
C.\(70^\circ\)
D.\(145^\circ\)
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解題
The angle of incidence is measured between the incident ray and the normal (which is at \(90^\circ\) to the mirror surface). Thus, the angle of incidence is \(90^\circ - 35^\circ = 55^\circ\). According to the law of reflection, the angle of reflection is equal to the angle of incidence, which is \(55^\circ\).
評分準則
1 mark: Calculate the angle of incidence and apply the law of reflection to find the correct angle of \(55^\circ\).
題目 3 · 選擇題
1 分
When calcium carbonate reacts with dilute hydrochloric acid, a gas is produced. Which test and observation identify this gas?
A.A glowing splint is inserted into the gas and it relights.
B.A burning splint is held near the mouth of the tube and a 'pop' sound is heard.
C.The gas is bubbled through limewater and the limewater turns cloudy.
D.Damp blue litmus paper is placed in the gas and it is bleached white.
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解題
The reaction of a metal carbonate with an acid produces carbon dioxide gas. The standard test for carbon dioxide is to bubble it through limewater, which turns cloudy (milky) due to the formation of insoluble calcium carbonate.
評分準則
1 mark: Recall that carbon dioxide is produced and identify limewater turning cloudy as the correct test.
題目 4 · 選擇題
1 分
A toy car travels a distance of 24 meters along a straight track in 8.0 seconds at a constant speed. What is the speed of the toy car?
A.0.33 m/s
B.3.0 m/s
C.32 m/s
D.192 m/s
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解題
Speed is calculated using the formula: \(\text{speed} = \frac{\text{distance}}{\text{time}}\). Here, distance = 24 m and time = 8.0 s. Speed = \(24 \div 8.0 = 3.0\text{ m/s}\).
評分準則
1 mark: Use the formula speed = distance / time and perform the correct calculation to get 3.0 m/s.
題目 5 · 選擇題
1 分
How must an ammeter and a voltmeter be connected in a circuit to measure the current through and the potential difference across a resistor?
A.The ammeter is connected in series with the resistor, and the voltmeter is connected in parallel with the resistor.
B.The ammeter is connected in parallel with the resistor, and the voltmeter is connected in series with the resistor.
C.Both the ammeter and the voltmeter are connected in series with the resistor.
D.Both the ammeter and the voltmeter are connected in parallel with the resistor.
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解題
An ammeter measures current and must be connected in series to allow the current to flow through it. A voltmeter measures potential difference (voltage) across a component and must be connected in parallel across that component.
評分準則
1 mark: Correctly identify that the ammeter is connected in series and the voltmeter in parallel.
題目 6 · 選擇題
1 分
Which properties make copper particularly suitable for use in household electrical wiring?
A.It is a good conductor of heat and has a very high density.
B.It is a good conductor of electricity and can be drawn into wires (ductile).
C.It is a magnetic material and is highly resistant to chemical corrosion.
D.It is a poor conductor of electricity and is highly malleable.
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解題
Copper is widely used for electrical wiring because it has high electrical conductivity, allowing current to flow easily, and it is ductile, meaning it can easily be drawn into long, thin wires without breaking.
評分準則
1 mark: Identify good electrical conductivity and ductility as the key properties of copper for electrical wiring.
題目 7 · 選擇題
1 分
Which nutrient deficiency is correctly matched with its symptoms or associated disease?
A.calcium deficiency - rickets (weak bones)
B.iron deficiency - scurvy (bleeding gums)
C.vitamin C deficiency - anemia (tiredness)
D.vitamin D deficiency - night blindness
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解題
A deficiency in calcium (or vitamin D) leads to rickets, characterized by weak and soft bones. Iron deficiency leads to anemia, while vitamin C deficiency leads to scurvy.
評分準則
1 mark: Correctly pair calcium deficiency with rickets.
題目 8 · 選擇題
1 分
An atom of lithium has a proton number of 3 and a nucleon number of 7. How many protons, neutrons, and electrons are there in a neutral lithium atom?
A.3 protons, 3 neutrons, 4 electrons
B.3 protons, 4 neutrons, 3 electrons
C.4 protons, 3 neutrons, 3 electrons
D.7 protons, 3 neutrons, 7 electrons
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解題
The proton number (atomic number) is 3, so there are 3 protons. In a neutral atom, the number of electrons equals the number of protons, which is 3. The nucleon number (mass number) is 7. The number of neutrons is the nucleon number minus the proton number: \(7 - 3 = 4\).
評分準則
1 mark: Correctly determine that there are 3 protons, 4 neutrons, and 3 electrons.
題目 9 · 選擇題
1 分
A water wave in a ripple tank has a frequency of \(5.0\text{ Hz}\). The distance between two consecutive wave crests is \(0.20\text{ m}\). What is the speed of the wave?
A.0.04 m/s
B.1.0 m/s
C.2.5 m/s
D.25 m/s
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解題
The distance between two consecutive wave crests represents the wavelength, \(\lambda = 0.20\text{ m}\). The frequency of the wave is \(f = 5.0\text{ Hz}\). Using the wave equation: \(v = f \times \lambda\), we calculate: \(v = 5.0\text{ Hz} \times 0.20\text{ m} = 1.0\text{ m/s}\).
評分準則
1 mark for the correct calculation of speed using the wave equation.
題目 10 · 選擇題
1 分
A student investigates the reaction between marble chips (calcium carbonate) and dilute hydrochloric acid. Which change to the reaction conditions increases the rate of reaction?
A.using a larger volume of water to dilute the acid
B.using larger marble chips of the same total mass
C.decreasing the temperature of the acid
D.using the same mass of marble chips in powdered form
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解題
Using the marble chips in powdered form increases the total surface area of the reactant. This increases the frequency of collisions between reactant particles, thereby increasing the rate of reaction.
評分準則
1 mark for identifying that using powdered reactant increases the rate of reaction.
題目 11 · 選擇題
1 分
A toy car starts from rest and accelerates uniformly to a speed of \(10\text{ m/s}\) in \(4.0\text{ s}\). It then travels at a constant speed of \(10\text{ m/s}\) for another \(6.0\text{ s}\). What is the total distance travelled by the toy car?
A.50 m
B.60 m
C.80 m
D.100 m
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解題
The distance travelled can be calculated from the area under the speed-time graph: 1. For the first \(4.0\text{ s}\) (acceleration from rest): \(\text{distance} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4.0\text{ s} \times 10\text{ m/s} = 20\text{ m}\). 2. For the next \(6.0\text{ s}\) (constant speed): \(\text{distance} = \text{base} \times \text{height} = 6.0\text{ s} \times 10\text{ m/s} = 60\text{ m}\).
1 mark for summing the correct distances calculated for both stages of the motion.
題目 12 · 選擇題
1 分
Which statement describes the effect of temperature on the activity of an enzyme found in the human body?
A.The activity increases continuously as the temperature rises from \(10\text{ }^\circ\text{C}\) to \(80\text{ }^\circ\text{C}\).
B.The enzyme is denatured at low temperatures such as \(5\text{ }^\circ\text{C}\), preventing any reaction.
C.The optimum activity occurs around \(37\text{ }^\circ\text{C}\), and the enzyme is denatured at very high temperatures.
D.Temperature changes have no effect on the rate of enzyme-controlled reactions.
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解題
Human body enzymes typically have an optimum temperature of about \(37\text{ }^\circ\text{C}\) where they function most efficiently. At high temperatures (above \(40\text{--}50\text{ }^\circ\text{C}\)), the active site of the enzyme changes shape permanently (denaturation), preventing further catalytic activity.
評分準則
1 mark for identifying the correct optimum temperature and denaturation behavior.
題目 13 · 選擇題
1 分
Two resistors, with resistances of \(4.0\text{ }\Omega\) and \(6.0\text{ }\Omega\), are connected in series in a circuit. What is the total combined resistance of these two resistors?
A.2.4 \(\Omega\)
B.5.0 \(\Omega\)
C.10.0 \(\Omega\)
D.24.0 \(\Omega\)
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解題
For resistors connected in series, the total resistance is the sum of the individual resistances: \(R_{\text{total}} = R_1 + R_2 = 4.0\text{ }\Omega + 6.0\text{ }\Omega = 10.0\text{ }\Omega\).
評分準則
1 mark for calculating the combined series resistance correctly.
題目 14 · 選擇題
1 分
Which raw material is added to the blast furnace to remove acidic impurities (such as silicon dioxide) during the extraction of iron?
A.coke
B.limestone
C.hematite
D.air
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解題
Limestone (calcium carbonate) is added to the blast furnace. It undergoes thermal decomposition to form calcium oxide (a basic oxide), which reacts with the acidic impurity silicon dioxide to form molten slag (calcium silicate).
評分準則
1 mark for identifying limestone as the material used to remove acidic impurities.
題目 15 · 選擇題
1 分
A patient is diagnosed with scurvy, which causes bleeding gums and slow wound healing. Which nutrient is deficient in the patient's diet?
A.calcium
B.iron
C.vitamin C
D.vitamin D
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解題
Scurvy is a disease caused by a severe deficiency of vitamin C (ascorbic acid) in the diet, which is needed to maintain healthy connective tissues.
評分準則
1 mark for identifying vitamin C as the deficient nutrient.
題目 16 · 選擇題
1 分
An atom of sodium has a proton number (atomic number) of 11 and a nucleon number (mass number) of 23. What is the number of protons, electrons and neutrons in this neutral atom?
A.11 protons, 11 electrons, 12 neutrons
B.11 protons, 12 electrons, 11 neutrons
C.12 protons, 11 electrons, 11 neutrons
D.11 protons, 11 electrons, 23 neutrons
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解題
In a neutral atom, the number of protons and the number of electrons both equal the proton number (11). The number of neutrons is the difference between the nucleon number and the proton number: \(23 - 11 = 12\text{ neutrons}\).
評分準則
1 mark for correctly determining the numbers of protons (11), electrons (11) and neutrons (12).
題目 17 · 選擇題
1 分
Which properties are correct for all electromagnetic waves travelling in a vacuum? 1. They are transverse waves. 2. They travel at a speed of 3.0 x 10^8 m/s. 3. They require a medium to travel. 4. They have the same wavelength.
A.1 and 2 only
B.1 and 3 only
C.2 and 4 only
D.3 and 4 only
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解題
Electromagnetic waves are transverse waves and they all travel at the speed of \(3.0 \times 10^8\text{ m/s}\) in a vacuum. Unlike sound waves, they do not require a medium to travel, and different types of electromagnetic waves (such as radio waves and gamma rays) have different wavelengths.
評分準則
1 mark for the correct option A. Reject other options because electromagnetic waves are transverse and do not require a medium, and they have varying wavelengths.
題目 18 · 選擇題
1 分
A student investigates the reaction between excess dilute hydrochloric acid and calcium carbonate chips (marble chips). Which change decreases the initial rate of this reaction?
A.using a larger volume of the same dilute hydrochloric acid
B.using the same mass of calcium carbonate as a single large lump instead of smaller chips
C.increasing the temperature of the hydrochloric acid
D.using a more concentrated solution of hydrochloric acid
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解題
A single large lump of calcium carbonate has a smaller surface area than smaller chips of the same mass. A smaller surface area reduces the frequency of collisions between reactant particles, which decreases the rate of reaction. Increasing volume does not affect the initial rate, and increasing temperature or concentration increases the rate.
評分準則
1 mark for identifying that using a larger lump (smaller surface area) decreases the rate (B). Reject other options which either increase the rate or do not change the initial rate.
題目 19 · 選擇題
1 分
A toy car starts from rest and accelerates at a constant rate for 10 s until it reaches a speed of 20 m/s. It then travels at a constant speed of 20 m/s for another 30 s. What is the total distance travelled by the car?
A.400 m
B.600 m
C.700 m
D.800 m
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解題
The total distance travelled is represented by the area under the speed-time graph. For the first phase (acceleration from 0 to 20 m/s in 10 s), the distance is represented by the area of a triangle: \(0.5 \times 10\text{ s} \times 20\text{ m/s} = 100\text{ m}\). For the second phase (constant speed for 30 s), the distance is represented by the area of a rectangle: \(30\text{ s} \times 20\text{ m/s} = 600\text{ m}\). Total distance is \(100\text{ m} + 600\text{ m} = 700\text{ m}\).
評分準則
1 mark for calculating the correct total distance of 700 m (C). Reject options that fail to account for the triangular profile of the first 10 s (e.g., treating it as a rectangle, giving 800 m) or only calculate the constant speed section (600 m).
題目 20 · 選擇題
1 分
An enzyme-catalysed reaction is carried out at different temperatures: 10 degrees C, 25 degrees C, 40 degrees C, and 80 degrees C. The reaction is very slow at 10 degrees C and does not happen at all at 80 degrees C. Which statement explains these observations?
A.At 10 degrees C the enzyme is denatured, while at 80 degrees C the molecules have too little kinetic energy.
B.At 10 degrees C the molecules have too little kinetic energy, while at 80 degrees C the enzyme is denatured.
C.At both 10 degrees C and 80 degrees C the enzyme is denatured.
D.At both 10 degrees C and 80 degrees C the molecules have too little kinetic energy.
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解題
At low temperatures like 10 degrees C, molecules move slowly because they have low kinetic energy, resulting in few successful collisions between the enzyme and substrate. At high temperatures like 80 degrees C, the enzyme is denatured because the high temperature permanently alters the shape of its active site, making it unable to bind to the substrate.
評分準則
1 mark for correct selection of B. Reject options suggesting low temperature causes denaturation, or high temperature causes low kinetic energy.
題目 21 · 選擇題
1 分
An electrical component is connected to a power supply. The potential difference across the component is 12 V and the current through it is 3.0 A. What is the resistance of the component?
A.0.25 ohms
B.4.0 ohms
C.15 ohms
D.36 ohms
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解題
Using the equation \(R = V / I\), where \(V = 12\text{ V}\) and \(I = 3.0\text{ A}\), the resistance is calculated as: \(R = 12 / 3.0 = 4.0\ \Omega\).
評分準則
1 mark for calculating the resistance as 4.0 ohms (B). Reject A (calculating current divided by voltage) and D (multiplying voltage and current).
題目 22 · 選擇題
1 分
Four different metals of equal size are added to separate test-tubes containing equal volumes of dilute hydrochloric acid at the same temperature. The observations are: Metal W shows rapid bubbling and the mixture gets very hot; Metal X shows no reaction; Metal Y shows slow bubbling; Metal Z shows a very rapid, explosive reaction. What is the correct order of reactivity of these metals, from most reactive to least reactive?
A.W -> Z -> Y -> X
B.Z -> W -> Y -> X
C.X -> Y -> W -> Z
D.Y -> W -> Z -> X
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解題
The reactivity of metals with acid is indicated by the rate of production of hydrogen gas bubbles and temperature rise. An explosive reaction (Z) is more reactive than rapid bubbling (W), which is more reactive than slow bubbling (Y), and no reaction (X) indicates the least reactive metal. Thus, the correct sequence from most to least reactive is Z -> W -> Y -> X.
評分準則
1 mark for the correct reactivity order Z -> W -> Y -> X (B). Reject other options that put less reactive metals before more reactive ones.
題目 23 · 選擇題
1 分
A student carries out food tests on a liquid sample. A portion tested with iodine solution turns blue-black. Another portion tested with Benedict's solution remains blue after heating. A third portion tested with biuret solution turns purple. Which nutrients are present in this food sample?
A.protein and reducing sugars only
B.starch and protein only
C.starch and reducing sugars only
D.starch only
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解題
Iodine solution turns blue-black in the presence of starch. Benedict's solution remains blue if reducing sugars are absent (it would turn green, yellow, orange, or brick-red if present). Biuret solution turns purple in the presence of protein. Therefore, starch and protein are present, but reducing sugars are absent.
評分準則
1 mark for identifying starch and protein only (B). Reject other options because Benedict's remaining blue means reducing sugars are absent, and purple biuret indicates protein is present.
題目 24 · 選擇題
1 分
An atom of phosphorus is represented by the symbol \({}_{15}^{31}\text{P}\). How many protons, neutrons, and electrons are there in this neutral atom?
A.15 protons, 16 neutrons, 15 electrons
B.15 protons, 31 neutrons, 15 electrons
C.16 protons, 15 neutrons, 16 electrons
D.31 protons, 15 neutrons, 31 electrons
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解題
The lower number (proton number) is 15, which represents the number of protons. For a neutral atom, the number of electrons is equal to the number of protons, which is 15. The upper number (nucleon number or mass number) is 31, which is the sum of protons and neutrons. The number of neutrons is calculated as \(31 - 15 = 16\).
評分準則
1 mark for the correct configuration of 15 protons, 16 neutrons, and 15 electrons (A). Reject other options that confuse the proton and nucleon numbers.
題目 25 · 選擇題
1 分
Amylase is an enzyme that breaks down starch into simple sugars. An experiment is carried out to investigate the effect of temperature on the rate of amylase activity. Which statement describes what happens to amylase molecules at very high temperatures (above \(60^\circ\text{C}\))?
A.They gain kinetic energy and collide more frequently with starch molecules.
B.They change shape, so starch molecules can no longer fit into the active site.
C.They are converted into simple sugars by the starch molecules.
D.They freeze and become completely inactive but return to normal when warmed.
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解題
At temperatures above \(60^\circ\text{C}\), enzyme molecules are denatured. This means their active site permanently changes shape, so the substrate (starch) can no longer fit into it. Thus, the rate of reaction drops to zero.
評分準則
1 mark for B. Reject any other options.
題目 26 · 選擇題
1 分
The list shows the number of protons, neutrons and electrons in four particles, W, X, Y and Z. Particle W has 11 protons, 12 neutrons, 11 electrons. Particle X has 9 protons, 10 neutrons, 10 electrons. Particle Y has 12 protons, 12 neutrons, 10 electrons. Particle Z has 17 protons, 18 neutrons, 17 electrons. Which particle is a negative ion?
A.W
B.X
C.Y
D.Z
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解題
A negative ion has more electrons (negatively charged) than protons (positively charged). For particle X, there are 9 protons and 10 electrons, giving it a net charge of -1. W and Z are neutral atoms (protons = electrons). Y is a positive ion (more protons than electrons).
評分準則
1 mark for B. Reject any other options.
題目 27 · 選擇題
1 分
When excess calcium carbonate is added to dilute hydrochloric acid, carbon dioxide gas is produced. Which change will increase the rate of this reaction?
A.using larger pieces of calcium carbonate of the same total mass
B.cooling the reaction mixture to a lower temperature
C.using a more concentrated solution of hydrochloric acid
D.adding water to dilute the hydrochloric acid further
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解題
Increasing the concentration of the acid increases the number of acid particles per unit volume, which increases the rate of collision between the reactants, thereby increasing the reaction rate. Larger pieces reduce the surface area, decreasing the rate. Cooling the mixture decreases the kinetic energy of particles, reducing the rate.
評分準則
1 mark for C. Reject any other options.
題目 28 · 選擇題
1 分
Three different metals, P, Q and R, are tested for their reactivity. Metal P reacts rapidly with cold water. Metal Q does not react with cold water but reacts with steam. Metal R does not react with cold water or steam, but its oxide is reduced by heating with carbon. What is the correct order of reactivity of these metals, from most reactive to least reactive?
A.P, then Q, then R
B.Q, then P, then R
C.R, then Q, then P
D.P, then R, then Q
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解題
Metal P is most reactive because it reacts with cold water. Metal Q is less reactive because it only reacts with steam. Metal R is least reactive as it does not react with water or steam and is reduced by carbon. Thus, the order of reactivity from most to least reactive is P, then Q, then R.
評分準則
1 mark for A. Reject any other options.
題目 29 · 選擇題
1 分
A toy car travels along a straight track. It starts from rest and accelerates uniformly to a speed of \(6.0\text{ m/s}\) in \(3.0\text{ s}\). It then travels at this constant speed for another \(4.0\text{ s}\). What is the total distance traveled by the car?
A.\(18\text{ m}\)
B.\(24\text{ m}\)
C.\(33\text{ m}\)
D.\(42\text{ m}\)
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解題
The distance traveled is the area under the speed-time graph. In the first \(3.0\text{ s}\), the car accelerates from rest to \(6.0\text{ m/s}\). The distance is the area of a triangle: \(0.5 \times 3.0\text{ s} \times 6.0\text{ m/s} = 9.0\text{ m}\). In the next \(4.0\text{ s}\), the car moves at a constant speed of \(6.0\text{ m/s}\). The distance is the area of a rectangle: \(4.0\text{ s} \times 6.0\text{ m/s} = 24.0\text{ m}\). Total distance = \(9.0\text{ m} + 24.0\text{ m} = 33.0\text{ m}\).
評分準則
1 mark for C. Reject any other options.
題目 30 · 選擇題
1 分
Which statement about sound waves is correct?
A.Sound waves can travel through a vacuum because they are electromagnetic.
B.Sound waves are longitudinal waves and require a medium to travel.
C.Sound waves travel faster in air than they do in water or solids.
D.The pitch of a sound wave is determined solely by its amplitude.
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解題
Sound waves are longitudinal mechanical waves, which means they propagate by the vibration of particles parallel to the direction of wave travel. Because they require particle vibrations, they cannot travel through a vacuum. They travel faster in solids and liquids than in gases.
評分準則
1 mark for B. Reject any other options.
題目 31 · 選擇題
1 分
A simple circuit consists of a \(12\text{ V}\) battery connected to a resistor. A current of \(1.5\text{ A}\) flows through the resistor. What is the resistance of the resistor?
A.\(0.125\ \Omega\)
B.\(8.0\ \Omega\)
C.\(13.5\ \Omega\)
D.\(18.0\ \Omega\)
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解題
Using Ohm's Law, \(V = I \times R\). Rearranging the formula gives \(R = V / I\). Substituting the given values: \(R = 12\text{ V} / 1.5\text{ A} = 8.0\ \Omega\).
評分準則
1 mark for B. Reject any other options.
題目 32 · 選擇題
1 分
Which nutrient is correctly matched with its role in the human body and the deficiency disease caused by its lack?
A.calcium | needed for making hemoglobin | scurvy
B.iron | needed for strong bones and teeth | rickets
C.vitamin C | needed to maintain healthy skin and gums | scurvy
D.vitamin D | needed for transport of oxygen | rickets
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解題
Vitamin C is essential for maintaining healthy skin and gums, and its deficiency leads to scurvy. Calcium is for bones and teeth (deficiency: rickets); Iron is for hemoglobin (deficiency: anemia); Vitamin D is for bones and teeth (deficiency: rickets).
評分準則
1 mark for C. Reject any other options.
題目 33 · 選擇題
1 分
Which statement about the electromagnetic spectrum is correct?
A.Infrared waves travel faster in a vacuum than ultraviolet waves.
B.Radio waves have a higher frequency than gamma rays.
C.X-rays have a shorter wavelength than microwaves.
D.All electromagnetic waves are longitudinal waves.
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解題
All electromagnetic waves are transverse waves and travel at the same speed in a vacuum (approximately \(3 \times 10^8\text{ m/s}\)). Looking at the order of the spectrum from longest wavelength to shortest: radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, gamma rays. Therefore, X-rays have a shorter wavelength than microwaves.
評分準則
1 mark for identifying the correct relationship of wavelengths in the electromagnetic spectrum (C).
題目 34 · 選擇題
1 分
A student investigates the rate of reaction between calcium carbonate and dilute hydrochloric acid. Which change would decrease the rate of the reaction?
A.using a larger volume of dilute hydrochloric acid of the same concentration
B.using larger lumps of calcium carbonate instead of powder
C.increasing the temperature of the acid
D.adding a suitable catalyst to the mixture
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解題
Using larger lumps of calcium carbonate decreases the available surface area of the reactant. A smaller surface area reduces the frequency of collisions between reactant particles, thereby decreasing the rate of the reaction. Increasing temperature or concentration increases the rate. Changing the volume of acid without changing concentration does not affect the initial rate of reaction.
評分準則
1 mark for identifying that decreasing surface area (larger lumps) decreases the rate of reaction (B).
題目 35 · 選擇題
1 分
An astronaut has a mass of \(80\text{ kg}\) on Earth. The gravitational field strength on Earth is \(10\text{ N/kg}\) and on the Moon is \(1.6\text{ N/kg}\). What are the astronaut's mass and weight on the Moon?
Mass is a measure of the amount of matter in an object and remains constant regardless of the gravitational field strength, so the mass on the Moon is \(80\text{ kg}\). Weight is calculated using the formula \(W = m \times g\). On the Moon, weight = \(80\text{ kg} \times 1.6\text{ N/kg} = 128\text{ N}\).
評分準則
1 mark for correctly stating that mass remains constant and calculating the weight as \(128\text{ N}\) (A).
題目 36 · 選擇題
1 分
Which statement correctly describes the effect of temperature on amylase?
A.As temperature decreases from \(37\text{ }^\circ\text{C}\) to \(10\text{ }^\circ\text{C}\), amylase is denatured.
B.At high temperatures, amylase is killed because it is a living organism.
C.At the optimum temperature, the rate of starch breakdown is the highest.
D.Heating amylase to \(80\text{ }^\circ\text{C}\) increases the rate of starch breakdown.
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解題
Amylase is an enzyme (a protein catalyst) and is not a living organism, so it cannot be 'killed' at high temperatures; instead, it becomes denatured, which permanently inactivates it. Cooling down to \(10\text{ }^\circ\text{C}\) reduces kinetic energy but does not denature the enzyme. At the optimum temperature, the enzyme's catalytic activity is highest, meaning starch is broken down at the maximum rate.
評分準則
1 mark for identifying that the highest rate of starch breakdown occurs at the optimum temperature (C).
題目 37 · 選擇題
1 分
A circuit contains a \(6.0\text{ V}\) power supply and two identical resistors connected in series. The current in the circuit is \(0.50\text{ A}\). What is the resistance of each resistor?
A.\(3.0\ \Omega\)
B.\(6.0\ \Omega\)
C.\(12.0\ \Omega\)
D.\(24.0\ \Omega\)
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解題
Using Ohm's law, the total resistance of the circuit is \(R_{\text{total}} = \frac{V}{I} = \frac{6.0\text{ V}}{0.50\text{ A}} = 12.0\ \Omega\). In a series circuit, total resistance is the sum of individual resistances: \(R_{\text{total}} = R_1 + R_2\). Since the resistors are identical, each resistor has a resistance of \(\frac{12.0\ \Omega}{2} = 6.0\ \Omega\).
評分準則
1 mark for calculating total resistance and dividing by 2 to find individual resistance of identical series resistors (B).
題目 38 · 選擇題
1 分
Which metal is extracted from its ore by heating with carbon in a blast furnace?
A.aluminium
B.iron
C.magnesium
D.sodium
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解題
Metals that are less reactive than carbon, such as iron, can be extracted from their metal oxides by reduction using carbon or carbon monoxide in a blast furnace. More reactive metals like aluminium, magnesium, and sodium must be extracted using electrolysis because carbon is not reactive enough to reduce them.
評分準則
1 mark for identifying that iron is extracted by heating with carbon (B).
題目 39 · 選擇題
1 分
Which nutrient deficiency is correctly matched with its symptom or deficiency disease?
A.calcium deficiency - scurvy
B.iron deficiency - anaemia
C.vitamin C deficiency - rickets
D.vitamin D deficiency - bleeding gums
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解題
Iron is required for the synthesis of haemoglobin in red blood cells; its deficiency leads to anaemia. Scurvy (bleeding gums) is caused by a lack of vitamin C. Rickets is caused by a lack of vitamin D or calcium.
評分準則
1 mark for matching iron deficiency with anaemia (B).
題目 40 · 選擇題
1 分
An atom of phosphorus is represented as \({}_{15}^{31}\text{P}\). What is the correct number of protons, neutrons, and electrons in a neutral atom of this element?
A.protons = 15, neutrons = 16, electrons = 15
B.protons = 15, neutrons = 31, electrons = 15
C.protons = 16, neutrons = 15, electrons = 16
D.protons = 31, neutrons = 15, electrons = 31
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解題
In the notation \({}_{Z}^{A}\text{X}\), \(Z\) is the proton (atomic) number and \(A\) is the nucleon (mass) number. Here, the proton number \(Z = 15\), which is the number of protons. For a neutral atom, the number of electrons is equal to the number of protons, which is 15. The number of neutrons is \(A - Z = 31 - 15 = 16\).
評分準則
1 mark for identifying the correct subatomic particles (protons = 15, neutrons = 16, electrons = 15) (A).
Paper 21 (選擇題 Extended)
Forty multiple-choice questions based on the Extended syllabus. Answer all questions.
40 題目 · 40 分
題目 1 · 選擇題
1 分
An investigation was carried out on amylase. Four test-tubes containing amylase and starch at different pH values were incubated at 35 °C. The time taken for starch to be completely broken down was measured: - Tube 1 (pH 3.0): 12 minutes - Tube 2 (pH 5.0): 6 minutes - Tube 3 (pH 7.0): 2 minutes - Tube 4 (pH 9.0): 8 minutes. Which statement is correct?
A.The enzyme is denatured at pH 7.0.
B.The rate of reaction is highest at pH 3.0.
C.The rate of reaction at pH 9.0 is higher than at pH 5.0.
D.The optimum pH for this amylase is close to pH 7.0.
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解題
The shortest time taken for starch breakdown is at pH 7.0 (2 minutes). A shorter time means a higher rate of reaction, which indicates that the enzyme is most active at pH 7.0. Therefore, the optimum pH is close to pH 7.0.
評分準則
1 mark: Correctly identifies D as the correct option.
題目 2 · 選擇題
1 分
A ray of light passes from air into a glass block. Which row correctly describes what happens to the frequency, the speed, and the wavelength of the light as it enters the glass?
When light travels from air into glass, it enters a more optically dense medium, which causes its speed to decrease. The frequency of a wave is determined only by its source, so it remains unchanged. Using the wave equation \(v = f \lambda\), since speed \(v\) decreases and frequency \(f\) is constant, the wavelength \(\lambda\) must also decrease.
評分準則
1 mark: Correctly identifies B as the correct option.
題目 3 · 選擇題
1 分
A student investigates the rate of reaction between dilute hydrochloric acid and excess calcium carbonate lumps. The volume of carbon dioxide gas produced is measured over time. In a second experiment, the student repeats the procedure but uses the same mass of calcium carbonate powder instead of lumps. All other conditions are kept constant. Which statement describes and explains the results of the second experiment compared to the first?
A.The rate of reaction is slower because the powder has a smaller total surface area.
B.The rate of reaction is faster because the powder has a larger total surface area, leading to more frequent collisions between particles.
C.The rate of reaction is faster because the activation energy of the reaction is lowered.
D.The total volume of carbon dioxide gas produced is greater because there are more reactant particles in the powder.
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解題
Using powder instead of lumps increases the total surface area of calcium carbonate exposed to the acid. This increases the frequency of collisions between the reactant particles, which increases the rate of reaction. The total volume of carbon dioxide produced remains the same because the mass of calcium carbonate and concentration/volume of hydrochloric acid are unchanged, and calcium carbonate is in excess.
評分準則
1 mark: Correctly identifies B as the correct option.
題目 4 · 選擇題
1 分
An electric motor is used to lift a load of \(40\text{ kg}\) vertically upwards through a height of \(12\text{ m}\) in a time of \(6.0\text{ s}\). The gravitational field strength \(g\) is \(10\text{ N/kg}\). What is the useful power output of the motor?
A.\(80\text{ W}\)
B.\(480\text{ W}\)
C.\(800\text{ W}\)
D.\(4800\text{ W}\)
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解題
First, calculate the useful work done, which is equal to the gain in gravitational potential energy: \(\Delta E_p = m \times g \times h = 40\text{ kg} \times 10\text{ N/kg} \times 12\text{ m} = 4800\text{ J}\). Next, calculate the power output: \(P = \frac{W}{t} = \frac{4800\text{ J}}{6.0\text{ s}} = 800\text{ W}\).
評分準則
1 mark: Correctly identifies C as the correct option.
題目 5 · 選擇題
1 分
Two resistors, one of \(4.0\ \Omega\) and one of \(6.0\ \Omega\), are connected in parallel. This combination is then connected in series with a \(3.6\ \Omega\) resistor and a battery. What is the total resistance of the entire circuit?
A.\(1.6\ \Omega\)
B.\(2.4\ \Omega\)
C.\(6.0\ \Omega\)
D.\(13.6\ \Omega\)
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解題
First, calculate the resistance of the two parallel resistors (\(R_p\)): \(\frac{1}{R_p} = \frac{1}{4.0} + \frac{1}{6.0} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}\), giving \(R_p = \frac{12}{5} = 2.4\ \Omega\). Since this combination is in series with the \(3.6\ \Omega\) resistor, the total resistance is \(R_{total} = R_p + 3.6\ \Omega = 2.4\ \Omega + 3.6\ \Omega = 6.0\ \Omega\).
評分準則
1 mark: Correctly identifies C as the correct option.
題目 6 · 選擇題
1 分
Four metals, W, X, Y and Z, have the following properties: - Y reacts rapidly with cold water. - Z is extracted by the electrolysis of its molten ionic compound. - X is extracted by heating its metal oxide with carbon. - W is found uncombined in the Earth's crust. What is the order of reactivity of these metals, from most reactive to least reactive?
A.Y -> Z -> X -> W
B.Z -> Y -> X -> W
C.Y -> X -> Z -> W
D.W -> X -> Z -> Y
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解題
Highly reactive metals like Y react rapidly with cold water. Very reactive metals like Z (which are more reactive than carbon) must be extracted by electrolysis. Metals of medium reactivity like X (which are less reactive than carbon) are extracted by reduction of their oxides with carbon. Unreactive metals like W are found uncombined in nature. Therefore, the order of reactivity from most to least is Y -> Z -> X -> W.
評分準則
1 mark: Correctly identifies A as the correct option.
題目 7 · 選擇題
1 分
Which row correctly pairs a dietary component, its function in the human body, and the disease caused by its deficiency?
A.dietary component: Calcium; function: making haemoglobin; deficiency disease: anaemia
B.dietary component: Iron; function: making bones and teeth; deficiency disease: rickets
C.dietary component: Vitamin C; function: making collagen; deficiency disease: scurvy
Vitamin C is essential for making collagen, which is needed for healthy skin, gums, and blood vessels. A deficiency in Vitamin C causes scurvy. Calcium is for bone/teeth (deficiency causes rickets); Iron is for haemoglobin (deficiency causes anaemia); Vitamin D is for calcium absorption (deficiency causes rickets).
評分準則
1 mark: Correctly identifies C as the correct option.
題目 8 · 選擇題
1 分
An atom of an isotope of element Q has a proton number of 15 and a nucleon number of 31. What is the composition of a \(Q^{3-}\) ion formed from this atom?
A.protons: 15; neutrons: 16; electrons: 15
B.protons: 15; neutrons: 16; electrons: 18
C.protons: 15; neutrons: 31; electrons: 12
D.protons: 18; neutrons: 16; electrons: 15
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解題
The proton number is 15, so there are 15 protons. The nucleon number is 31, so the number of neutrons is \(31 - 15 = 16\). A neutral atom of Q has 15 electrons. The \(Q^{3-}\) ion has gained 3 electrons, meaning it has \(15 + 3 = 18\) electrons.
評分準則
1 mark: Correctly identifies B as the correct option.
題目 9 · 選擇題
1 分
The rate of an enzyme-catalysed reaction decreases rapidly at temperatures above the optimum. Which statement explains this decrease?
A.The kinetic energy of the substrate molecules decreases, meaning they collide with the enzyme less frequently.
B.The enzyme denatures, changing the shape of the active site so that the substrate can no longer fit.
C.The activation energy of the reaction increases, meaning fewer substrate molecules have enough energy to react.
D.The substrate molecules denature, which prevents them from binding to the enzyme.
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解題
At high temperatures, the thermal energy causes the bonds that maintain the specific 3D structure of the enzyme to break. This change in shape, known as denaturation, alters the active site so that the substrate molecule can no longer bind. Substrates do not denature, kinetic energy increases with temperature, and activation energy is unaffected by denaturation.
評分準則
1 mark for the correct answer B. 0 marks for incorrect options.
題目 10 · 選擇題
1 分
A student places fresh potato cells into a concentrated sucrose solution. Which row correctly describes the water potential inside the potato cells compared to the solution, the direction of water movement, and the state of the potato cells after some time?
A.Inside cells: lower water potential; Water movement: into cells; State of cells: turgid.
B.Inside cells: higher water potential; Water movement: out of cells; State of cells: plasmolysed.
C.Inside cells: higher water potential; Water movement: into cells; State of cells: turgid.
D.Inside cells: lower water potential; Water movement: out of cells; State of cells: plasmolysed.
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解題
The concentrated sucrose solution has a lower water potential than the inside of the potato cells. Water therefore moves out of the potato cells by osmosis (down the water potential gradient). As a result, the vacuole shrinks and the cell membrane pulls away from the cell wall, leaving the cells plasmolysed.
評分準則
1 mark for the correct answer B. 0 marks for incorrect options.
題目 11 · 選擇題
1 分
Iron(III) oxide reacts with carbon monoxide in a blast furnace according to the equation: \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\) Which statement correctly describes this reaction?
A.\(\text{Fe}_2\text{O}_3\) is oxidised because it loses oxygen, and \(\text{CO}\) is reduced because it gains oxygen.
B.\(\text{Fe}_2\text{O}_3\) is reduced because it loses oxygen, and \(\text{CO}\) is oxidised because it gains oxygen.
C.\(\text{Fe}_2\text{O}_3\) is reduced because it gains electrons, and \(\text{CO}\) is oxidised because it loses electrons.
D.\(\text{Fe}_2\text{O}_3\) is oxidised because it gains oxygen, and \(\text{CO}\) is reduced because it loses oxygen.
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解題
In terms of oxygen transfer, oxidation is the gain of oxygen and reduction is the loss of oxygen. Iron(III) oxide (\(\text{Fe}_2\text{O}_3\)) loses oxygen to become iron (\(\text{Fe}\)), so it is reduced. Carbon monoxide (\(\text{CO}\)) gains oxygen to become carbon dioxide (\(\text{CO}_2\)), so it is oxidised.
評分準則
1 mark for the correct answer B. 0 marks for incorrect options.
題目 12 · 選擇題
1 分
Four metals, W, X, Y, and Z, are tested to determine their reactivity. W reacts vigorously with cold water. X does not react with cold water but reacts with steam. Y does not react with steam, but its oxide can be reduced by heating with carbon. Z is found native as the uncombined element. What is the order of reactivity of these metals, from most reactive to least reactive?
A.W -> X -> Y -> Z
B.W -> Y -> X -> Z
C.X -> W -> Y -> Z
D.Z -> Y -> X -> W
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解題
Metals that react with cold water (such as sodium or calcium) are highly reactive. Metals that react with steam but not cold water (such as magnesium or zinc) are moderately reactive. Metals whose oxides are reduced by carbon (like copper or iron) but do not react with steam are lower in reactivity. Metals found uncombined (native, like gold) are extremely unreactive. Thus, the order of reactivity from most to least is W -> X -> Y -> Z.
評分準則
1 mark for the correct answer A. 0 marks for incorrect options.
題目 13 · 選擇題
1 分
A toy car of mass \(0.5\text{ kg}\) is moving along a horizontal track with an initial speed of \(2.0\text{ m/s}\). A constant force of \(2.0\text{ N}\) is applied to the car in the direction of its motion over a distance of \(4.0\text{ m}\). Assuming no resistive forces act on the car, what is its final kinetic energy?
A.\(1.0\text{ J}\)
B.\(8.0\text{ J}\)
C.\(9.0\text{ J}\)
D.\(10.0\text{ J}\)
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解題
The initial kinetic energy of the car is calculated using \(E_k = \frac{1}{2}mv^2 = \frac{1}{2} \times 0.5\text{ kg} \times (2.0\text{ m/s})^2 = 1.0\text{ J}\). The work done on the car by the force is \(W = F \times d = 2.0\text{ N} \times 4.0\text{ m} = 8.0\text{ J}\). Since there are no resistive forces, the final kinetic energy is the sum of the initial kinetic energy and the work done: \(1.0\text{ J} + 8.0\text{ J} = 9.0\text{ J}\).
評分準則
1 mark for correct calculation leading to option C (Method: Work done = F x d, KE = 0.5 m v^2. Total KE = initial KE + work done. Accuracy: 9.0 J).
題目 14 · 選擇題
1 分
A sound wave travels through water with a speed of \(1500\text{ m/s}\). If the wavelength of the wave is \(3.0\text{ cm}\), what is the frequency of the sound wave?
A.\(50\text{ Hz}\)
B.\(500\text{ Hz}\)
C.\(5000\text{ Hz}\)
D.\(50\ 000\text{ Hz}\)
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解題
First convert the wavelength to meters: \(3.0\text{ cm} = 0.03\text{ m}\). Use the wave equation \(v = f\lambda\) to calculate frequency: \(f = \frac{v}{\lambda} = \frac{1500\text{ m/s}}{0.03\text{ m}} = 50\ 000\text{ Hz}\).
評分準則
1 mark for correct calculation leading to option D (Method: v = f lambda, convert cm to m, f = v/lambda. Accuracy: 50 000 Hz).
題目 15 · 選擇題
1 分
A \(12\text{ V}\) d.c. power supply is connected to a resistor network. Two \(6.0\ \Omega\) resistors are connected in parallel with each other. This parallel pair is then connected in series with a \(5.0\ \Omega\) resistor. What is the total current drawn from the power supply?
A.\(1.1\text{ A}\)
B.\(1.5\text{ A}\)
C.\(2.4\text{ A}\)
D.\(4.0\text{ A}\)
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解題
The equivalent resistance of the two \(6.0\ \Omega\) resistors in parallel is \(1/R_p = 1/6.0 + 1/6.0 = 2/6.0\) which gives \(R_p = 3.0\ \Omega\). The total resistance of the circuit is this parallel resistance in series with the \(5.0\ \Omega\) resistor: \(R_{total} = 3.0\ \Omega + 5.0\ \Omega = 8.0\ \Omega\). Using Ohm's Law, the total current is \(I = V/R = 12\text{ V} / 8.0\ \Omega = 1.5\text{ A}\).
評分準則
1 mark for correct calculation leading to option B (Method: Rp = 3.0 ohms, Rtotal = 8.0 ohms, I = V/Rtotal. Accuracy: 1.5 A).
題目 16 · 選擇題
1 分
A patient suffers from bleeding gums and painful joints. Which nutrient is most likely deficient in their diet, and what disease does this deficiency cause?
A.nutrient: Vitamin C; disease: scurvy
B.nutrient: Vitamin D; disease: rickets
C.nutrient: Iron; disease: anaemia
D.nutrient: Calcium; disease: rickets
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解題
Bleeding gums and painful joints (along with poor wound healing) are classic symptoms of scurvy, which is caused by a deficiency of Vitamin C in the diet.
評分準則
1 mark for the correct answer A. 0 marks for incorrect options.
題目 17 · 選擇題
1 分
An investigation was carried out to measure the rate of an enzyme-controlled reaction at different temperatures. Which statement about the molecular activity at \(45^\circ\text{C}\) compared to \(25^\circ\text{C}\) is correct, assuming the optimum temperature of this enzyme is \(37^\circ\text{C}\)?
A.At \(45^\circ\text{C}\), the kinetic energy of the substrate and enzyme molecules is lower, leading to fewer successful collisions.
B.At \(45^\circ\text{C}\), the shape of the enzyme's active site has changed, so the substrate can no longer fit.
C.At \(45^\circ\text{C}\), the activation energy of the reaction is increased by the enzyme.
D.At \(45^\circ\text{C}\), the enzyme molecules have completely broken down into individual free amino acids.
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解題
At temperatures above the optimum (such as \(45^\circ\text{C}\)), the enzyme's high thermal energy disrupts the bonds holding its tertiary structure together, denaturing the enzyme. This alters the shape of the active site so that the substrate is no longer complementary and cannot bind. Note that denaturation does not break covalent peptide bonds to form free amino acids, nor does heating decrease kinetic energy.
評分準則
1 mark: Correctly identifies that at \(45^\circ\text{C}\) the enzyme's active site is denatured and no longer fits the substrate.
題目 18 · 選擇題
1 分
A student investigates the rate of reaction between an excess of calcium carbonate chips and dilute hydrochloric acid. Which change will increase the initial rate of reaction but keep the total volume of carbon dioxide gas produced the same?
A.Using the same mass of calcium carbonate as a fine powder instead of large chips.
B.Increasing the concentration of the hydrochloric acid while keeping its volume the same.
C.Increasing the volume of the dilute hydrochloric acid while keeping its concentration the same.
D.Decreasing the temperature of the reaction mixture.
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解題
Using a fine powder increases the surface area of the reactant, which increases the frequency of successful collisions and thus increases the initial rate of reaction. Since the mass of calcium carbonate is unchanged (and it is already in excess), and the volume and concentration of the limiting reactant (hydrochloric acid) are kept the same, the total moles of reactant do not change, so the total volume of carbon dioxide gas produced remains the same.
評分準則
1 mark: Correctly identifies that increasing surface area increases rate without changing the yield when the limiting reactant is unchanged.
題目 19 · 選擇題
1 分
An electric motor is used to lift a load of \(50\text{ N}\) vertically through a height of \(8.0\text{ m}\) in a time of \(4.0\text{ s}\). The electrical energy input to the motor during this time is \(600\text{ J}\). What is the efficiency of the motor system?
A.12%
B.17%
C.67%
D.83%
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解題
First, calculate the useful work done (increase in gravitational potential energy): \(\Delta E_p = F \times h = 50\text{ N} \times 8.0\text{ m} = 400\text{ J}\).
Next, calculate the efficiency: \(\text{Efficiency} = \frac{\text{Useful energy output}}{\text{Total energy input}} \times 100\% = \frac{400\text{ J}}{600\text{ J}} \times 100\% \approx 66.7\%\) (which rounds to \(67\%\)).
評分準則
1 mark: Correctly calculates efficiency by dividing useful work (400 J) by total input energy (600 J).
題目 20 · 選擇題
1 分
A circuit contains a \(6.0\text{ V}\) battery connected to three resistors: one \(4.0\ \Omega\) resistor connected in series with a parallel combination of two \(8.0\ \Omega\) resistors. What is the total current flowing from the battery?
A.0.50 A
B.0.75 A
C.1.0 A
D.1.5 A
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解題
First, calculate the combined resistance of the two parallel \(8.0\ \Omega\) resistors: \(1/R_p = 1/8.0 + 1/8.0 = 2/8.0 \implies R_p = 4.0\ \Omega\).
Next, calculate the total resistance of the series combination: \(R_{\text{total}} = 4.0\ \Omega + R_p = 4.0\ \Omega + 4.0\ \Omega = 8.0\ \Omega\).
Finally, calculate the current using Ohm's law: \(I = V / R_{\text{total}} = 6.0\text{ V} / 8.0\ \Omega = 0.75\text{ A}\).
評分準則
1 mark: Correctly determines the total equivalent resistance to be 8.0 ohms and calculates the current as 0.75 A.
題目 21 · 選擇題
1 分
A water wave travels from deep water into shallow water, causing its speed to decrease from \(2.0\text{ m/s}\) to \(1.5\text{ m/s}\). If the frequency of the wave in deep water is \(5.0\text{ Hz}\), what are the frequency and wavelength of the wave in shallow water?
When a wave passes from one medium to another, its frequency remains constant because it is determined by the source. Therefore, the frequency in shallow water remains \(5.0\text{ Hz}\). Using the wave equation \(v = f \lambda\) in shallow water: \(\lambda = v / f = 1.5\text{ m/s} / 5.0\text{ Hz} = 0.30\text{ m}\).
評分準則
1 mark: Correctly identifies that frequency is unchanged (5.0 Hz) and applies the wave equation to find the wavelength (0.30 m).
題目 22 · 選擇題
1 分
Which row correctly identifies a region of the human alimentary canal, the nutrient digested there, and the organ that produces the enzyme responsible for this digestion?
A.Mouth | starch | salivary glands
B.Stomach | protein | pancreas
C.Small intestine | starch | stomach
D.Small intestine | fat | liver
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解題
In the mouth, salivary glands secrete saliva containing salivary amylase, which digests starch. In the stomach, protein is digested by pepsin, which is produced by the stomach wall (not pancreas). In the small intestine, starch is digested by pancreatic amylase, not stomach. Fat is digested by pancreatic lipase (not liver; liver produces bile, which is an emulsifier, not an enzyme).
評分準則
1 mark: Correctly identifies the mouth, starch, and salivary glands.
題目 23 · 選擇題
1 分
Four metals, W, X, Y, and Z, are tested: - Metal W does not react with dilute hydrochloric acid. - Metal X reacts slowly with cold water. - Metal Y reacts rapidly with dilute hydrochloric acid but does not react with cold water. - Oxide of Metal Z can be reduced by heating with carbon, but oxide of Metal X cannot.
What is the order of reactivity of these metals, from most reactive to least reactive?
A.X \(\rightarrow\) Y \(\rightarrow\) Z \(\rightarrow\) W
B.X \(\rightarrow\) Z \(\rightarrow\) Y \(\rightarrow\) W
C.Y \(\rightarrow\) X \(\rightarrow\) Z \(\rightarrow\) W
D.Z \(\rightarrow\) X \(\rightarrow\) Y \(\rightarrow\) W
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解題
1. Metal X reacts with cold water, indicating very high reactivity. 2. Metal Y reacts with dilute acid but not water, so it is less reactive than X but still more reactive than hydrogen. 3. Metal Z's oxide can be reduced by carbon, meaning it is less reactive than carbon. Since Y reacts rapidly with acid, it sits above carbon and Z. 4. Metal W does not react with dilute acid, placing it below hydrogen (least reactive).
Thus, the correct order from most to least reactive is X \(\rightarrow\) Y \(\rightarrow\) Z \(\rightarrow\) W.
評分準則
1 mark: Correctly deduces the order of reactivity as X > Y > Z > W based on the observations.
題目 24 · 選擇題
1 分
An ion of an isotope of element E is represented as \({}_{24}^{52}\text{E}^{2+}\). Which row correctly describes the number of protons, neutrons, and electrons in this ion?
A.Protons = 24, Neutrons = 28, Electrons = 22
B.Protons = 24, Neutrons = 28, Electrons = 24
C.Protons = 24, Neutrons = 52, Electrons = 22
D.Protons = 26, Neutrons = 28, Electrons = 24
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解題
For the ion \({}_{24}^{52}\text{E}^{2+}\): - The atomic number (subscript 24) is the number of protons, so protons = 24. - The mass number (superscript 52) is the sum of protons and neutrons. Thus, neutrons = 52 - 24 = 28. - The charge of \(2+\) means the neutral atom has lost two electrons. The neutral atom would have 24 electrons, so this ion has 24 - 2 = 22 electrons.
1 mark: Correctly identifies the number of protons (24), neutrons (28), and electrons (22).
題目 25 · 選擇題
1 分
A student investigates the effect of temperature on the rate of an enzyme-catalyzed reaction. The student observes that the rate of reaction increases from 10 °C to 37 °C, but then decreases rapidly above 45 °C. Which statement correctly explains these observations?
A.At higher temperatures, the kinetic energy of the substrate decreases, and the active site of the enzyme changes shape above 45 °C.
B.At lower temperatures, the kinetic energy of molecules is low resulting in fewer collisions, and the enzyme denatures above 45 °C so the substrate no longer fits the active site.
C.At lower temperatures, the enzyme is denatured, and above 45 °C the kinetic energy of substrate molecules becomes too high for binding.
D.The kinetic energy increases at all temperatures, but above 45 °C the enzyme's active site becomes more flexible to allow more substrate molecules to bind.
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解題
Increasing temperature from 10 °C to 37 °C increases the kinetic energy of the reactants, resulting in a higher rate of successful collisions. Above 45 °C, the high thermal energy disrupts the bonds holding the enzyme's three-dimensional structure together, denaturing the enzyme. This changes the shape of its active site, meaning the substrate can no longer fit, and the reaction rate decreases rapidly.
評分準則
1 mark: correct option selected. Reject all other options.
題目 26 · 選擇題
1 分
A car starts from rest and accelerates uniformly at 2.5 m/s² for 6.0 s. It then travels at a constant speed for 12.0 s before decelerating uniformly to rest in 4.0 s. What is the total distance traveled by the car?
1 mark: correct option selected. Reject all other options.
題目 27 · 選擇題
1 分
A water wave travels from deep water into shallow water. In deep water, the wave has a wavelength of 4.0 cm and a speed of 24 cm/s. As the wave enters the shallow water, its speed decreases to 18 cm/s. What are the frequency and the wavelength of the wave in the shallow water?
A.frequency = 6.0 Hz; wavelength = 3.0 cm
B.frequency = 6.0 Hz; wavelength = 5.3 cm
C.frequency = 4.5 Hz; wavelength = 3.0 cm
D.frequency = 4.5 Hz; wavelength = 4.0 cm
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解題
The frequency of a wave depends only on its source and does not change when transitioning between mediums. In deep water: \(f = \frac{v}{\lambda} = \frac{24\text{ cm/s}}{4.0\text{ cm}} = 6.0\text{ Hz}\). Therefore, the frequency in shallow water remains \(6.0\text{ Hz}\). In shallow water, using the same frequency: \(\lambda = \frac{v}{f} = \frac{18\text{ cm/s}}{6.0\text{ Hz}} = 3.0\text{ cm}\).
評分準則
1 mark: correct option selected. Reject all other options.
題目 28 · 選擇題
1 分
Two experiments, X and Y, are carried out to investigate the rate of reaction between excess calcium carbonate chips and dilute hydrochloric acid. In experiment X, 5.0 g of large marble chips are reacted with 50 cm³ of 1.0 mol/dm³ hydrochloric acid at 20 °C. Which changes to the conditions in experiment Y would produce a faster initial rate of reaction but the same total volume of carbon dioxide gas?
A.Use 5.0 g of powdered marble chips and 50 cm³ of 1.0 mol/dm³ hydrochloric acid at 20 °C.
B.Use 5.0 g of large marble chips and 100 cm³ of 1.0 mol/dm³ hydrochloric acid at 20 °C.
C.Use 2.5 g of large marble chips and 50 cm³ of 1.0 mol/dm³ hydrochloric acid at 20 °C.
D.Use 5.0 g of large marble chips and 50 cm³ of 0.5 mol/dm³ hydrochloric acid at 30 °C.
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解題
In experiment X, calcium carbonate is in excess, so the limiting reactant is the hydrochloric acid. The total volume of carbon dioxide produced depends on the number of moles of acid, which is \(0.050\text{ dm}^3 \times 1.0\text{ mol/dm}^3 = 0.05\text{ mol}\). Using powdered marble chips increases the surface area of the solid reactant, which increases the rate of collision and therefore produces a faster initial rate of reaction. Keeping the volume and concentration of hydrochloric acid the same ensures the same number of moles of limiting reactant, yielding the exact same volume of carbon dioxide.
評分準則
1 mark: correct option selected. Reject all other options.
題目 29 · 選擇題
1 分
A circuit consists of a 12 V d.c. power supply connected to a network of resistors. Two resistors, one of 6.0 Ω and one of 3.0 Ω, are connected in parallel. This parallel combination is connected in series with a third resistor of 4.0 Ω. What is the total current drawn from the power supply?
A.0.92 A
B.1.2 A
C.1.5 A
D.2.0 A
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解題
1) Calculate the combined resistance of the parallel branch, \(R_p\): \(R_p = \frac{6.0 \times 3.0}{6.0 + 3.0} = 2.0\ \Omega\). 2) Calculate total resistance, \(R_{total}\), by adding the series resistor: \(R_{total} = R_p + 4.0\ \Omega = 2.0 + 4.0 = 6.0\ \Omega\). 3) Use Ohm's law to calculate total current, \(I\): \(I = \frac{V}{R_{total}} = \frac{12\text{ V}}{6.0\ \Omega} = 2.0\text{ A}\).
評分準則
1 mark: correct option selected. Reject all other options.
題目 30 · 選擇題
1 分
Four metals, W, X, Y, and Z, are reacted with oxides of the other metals. The results are shown: - Metal W + Oxide of X → Reaction occurs - Metal Y + Oxide of W → Reaction occurs - Metal Z + Oxide of Y → No reaction - Metal Z + Oxide of W → Reaction occurs
What is the order of reactivity of these metals, from most reactive to least reactive?
A.Y, Z, W, X
B.Y, W, Z, X
C.X, W, Z, Y
D.Z, Y, W, X
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解題
- From 'W + Oxide of X → Reaction', W is more reactive than X (\(W > X\)). - From 'Y + Oxide of W → Reaction', Y is more reactive than W (\(Y > W\)). - From 'Z + Oxide of Y → No reaction', Y is more reactive than Z (\(Y > Z\)). - From 'Z + Oxide of W → Reaction', Z is more reactive than W (\(Z > W\)). Combining these findings: \(Y > Z > W > X\).
評分準則
1 mark: correct option selected. Reject all other options.
題目 31 · 選擇題
1 分
Which row correctly matches a nutrient to its function in the body and the deficiency disease associated with its lack in the diet?
A.nutrient: calcium | function: needed to make hemoglobin | deficiency disease: anemia
B.nutrient: iron | function: needed for bone and teeth growth | deficiency disease: rickets
C.nutrient: vitamin C | function: needed to maintain healthy skin and gums | deficiency disease: scurvy
D.nutrient: vitamin D | function: needed to prevent night blindness | deficiency disease: scurvy
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解題
Vitamin C is essential for maintaining healthy connective tissues, skin, and gums, and its deficiency leads to scurvy. Calcium is needed for strong bones/teeth (rickets); iron is needed for hemoglobin (anemia); and Vitamin D is needed for calcium absorption (rickets).
評分準則
1 mark: correct option selected. Reject all other options.
題目 32 · 選擇題
1 分
An atom or ion X contains 17 protons, 18 neutrons, and 18 electrons. Which statement about X is correct?
A.It is an atom of argon with a nucleon number of 35.
B.It is a negatively charged ion of chlorine with a nucleon number of 35.
C.It is a positively charged ion of chlorine with a nucleon number of 18.
D.It is a negatively charged ion of argon with a nucleon number of 36.
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解題
The atomic (proton) number is 17, which identifies the element as chlorine. The nucleon (mass) number is the total number of protons and neutrons: \(17 + 18 = 35\). Since there are 18 electrons and only 17 protons, there is an excess of one electron, giving it a single negative charge (\(\text{Cl}^-\)). Hence, it is a negatively charged ion of chlorine with a nucleon number of 35.
評分準則
1 mark: correct option selected. Reject all other options.
題目 33 · 選擇題
1 分
Which statement about electromagnetic waves is correct?
A.Infrared waves have a higher frequency than ultraviolet waves and both travel at the same speed in a vacuum.
B.Microwaves have a longer wavelength than radio waves and both travel at the same speed in a vacuum.
C.Ultraviolet waves have a shorter wavelength than infrared waves and both travel at the same speed in a vacuum.
D.X-rays have a lower frequency than radio waves and both travel at different speeds in a vacuum.
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解題
In the electromagnetic spectrum, ultraviolet waves have higher frequencies and therefore shorter wavelengths than infrared waves. All electromagnetic waves travel at the same speed (the speed of light, \(3 \times 10^8\) m/s) in a vacuum.
評分準則
1 mark for the correct option C.
題目 34 · 選擇題
1 分
Carbon monoxide reacts with iron(III) oxide to produce iron and carbon dioxide: \(Fe_2O_3 + 3CO \rightarrow 2Fe + 3CO_2\). Which statement about this reaction is correct?
A.Carbon monoxide is oxidized because it loses oxygen.
B.Carbon monoxide is the reducing agent because it reduces iron(III) oxide.
C.Iron(III) oxide is oxidized because it gains carbon.
D.Iron(III) oxide is the reducing agent because it loses oxygen.
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解題
In this reaction, carbon monoxide (\(CO\)) gains oxygen to become carbon dioxide (\(CO_2\)), which means it is oxidized. Since \(CO\) causes the iron(III) oxide to be reduced to iron, \(CO\) acts as the reducing agent. Iron(III) oxide loses oxygen and is reduced, acting as the oxidizing agent.
評分準則
1 mark for identifying the correct statement regarding redox role (option B).
題目 35 · 選擇題
1 分
The rate of an enzyme-catalyzed reaction increases up to an optimum temperature of 40 °C, but then decreases rapidly and stops completely by 60 °C. Which statement correctly explains the activity of the enzyme at 60 °C?
A.At 60 °C, kinetic energy is too low so fewer successful collisions occur.
B.At 60 °C, the enzyme has denatured, altering the active site shape so the substrate can no longer bind.
C.At 60 °C, the substrate molecules are completely broken down, so the reaction stops.
D.At 60 °C, the activation energy of the reaction is lowered, causing the reaction rate to fall.
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解題
At temperatures above the optimum (e.g., at 60 °C), the active site of the enzyme changes shape permanently due to denaturation. This prevents the substrate from binding to the active site, stopping the reaction.
評分準則
1 mark for explaining enzyme denaturation at high temperatures (option B).
題目 36 · 選擇題
1 分
An object of mass 4.0 kg is initially at rest. A constant horizontal force of 8.0 N is applied to the object, causing it to move along a frictionless horizontal surface for a distance of 10 m. What is the final kinetic energy and final speed of the object?
A.Kinetic energy = 40 J, Speed = 4.5 m/s
B.Kinetic energy = 80 J, Speed = 6.3 m/s
C.Kinetic energy = 80 J, Speed = 40 m/s
D.Kinetic energy = 320 J, Speed = 12.6 m/s
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解題
The work done on the object is equal to Force \(\times\) distance: \(W = 8.0\text{ N} \times 10\text{ m} = 80\text{ J}\). Since the surface is frictionless and it starts from rest, all work done is converted into kinetic energy, so \(E_k = 80\text{ J}\). To find the speed: \(E_k = \frac{1}{2}mv^2 \Rightarrow 80 = \frac{1}{2} \times 4.0 \times v^2 \Rightarrow 80 = 2v^2 \Rightarrow v^2 = 40 \Rightarrow v = \sqrt{40} \approx 6.3\text{ m/s}\).
評分準則
1 mark for calculating kinetic energy as 80 J and speed as 6.3 m/s (option B).
題目 37 · 選擇題
1 分
Strips of four different metals, W, X, Y, and Z, are placed into separate aqueous solutions of their nitrates. Metal W reacts with the nitrates of X, Y, and Z. Metal X does not react with any of the other metal nitrates. Metal Y reacts with the nitrate of X, but does not react with the nitrates of W or Z. Metal Z reacts with the nitrates of X and Y, but does not react with the nitrate of W. What is the correct order of reactivity of these metals, from most reactive to least reactive?
A.W -> Z -> Y -> X
B.X -> Y -> Z -> W
C.W -> Y -> Z -> X
D.Z -> W -> Y -> X
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解題
A more reactive metal displaces a less reactive metal from its compound. W is the most reactive because it displaces X, Y, and Z. Z is more reactive than Y and X (as it reacts with both their nitrates) but less reactive than W. Y reacts only with the nitrate of X, so Y is more reactive than X but less reactive than W and Z. X is the least reactive as it cannot displace any of the other metals. The correct order is W > Z > Y > X.
評分準則
1 mark for deducing the correct reactivity order from displacement data (option A).
題目 38 · 選擇題
1 分
A student connects a 12 \(\Omega\) resistor and a 6 \(\Omega\) resistor in parallel across a 6.0 V battery. What is the total current drawn from the battery?
A.0.33 A
B.0.50 A
C.1.5 A
D.3.0 A
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解題
First, find the total resistance (\(R_p\)) of the parallel combination: \(1/R_p = 1/12 + 1/6 = 3/12 = 1/4\), so \(R_p = 4\ \Omega\). Then, use Ohm's law to find the total current: \(I = V / R_p = 6.0\text{ V} / 4\ \Omega = 1.5\text{ A}\).
評分準則
1 mark for calculating total resistance and total current (option C).
題目 39 · 選擇題
1 分
A patient presents with bleeding gums and slow-healing wounds. Which nutrient deficiency causes these symptoms, and which dietary source would best help treat this condition?
A.Calcium deficiency; treated by eating more milk and cheese
B.Vitamin C deficiency; treated by eating more citrus fruits
C.Vitamin D deficiency; treated by eating more eggs and oily fish
D.Iron deficiency; treated by eating more red meat and spinach
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解題
Bleeding gums and poor wound healing are classic symptoms of scurvy, which is caused by a deficiency in Vitamin C. Vitamin C is highly abundant in citrus fruits such as oranges and lemons.
評分準則
1 mark for correctly matching the symptoms of scurvy to Vitamin C deficiency and citrus fruits (option B).
題目 40 · 選擇題
1 分
Concentrated aqueous sodium chloride is electrolyzed using inert carbon electrodes. Which products are formed at the anode and the cathode?
A.Anode: Chlorine gas; Cathode: Sodium metal
B.Anode: Oxygen gas; Cathode: Hydrogen gas
C.Anode: Chlorine gas; Cathode: Hydrogen gas
D.Anode: Oxygen gas; Cathode: Sodium metal
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解題
In concentrated aqueous NaCl, the ions present are \(Na^+\), \(H^+\), \(Cl^-\), and \(OH^-\). At the cathode, \(H^+\) ions are reduced to hydrogen gas because hydrogen is lower than sodium in the reactivity series. At the anode, because the chloride ion concentration is high, \(Cl^-\) ions are oxidized to chlorine gas.
評分準則
1 mark for correctly identifying the gaseous products of concentrated aqueous NaCl electrolysis (option C).
Paper 31 (Theory Core)
Structured theory questions based on the Core syllabus. Answer all questions.
9 題目 · 79.92 分
題目 1 · structured
8.88 分
Amylase is an enzyme that catalyses the breakdown of starch into simple sugars.
(a) Define the term enzyme.
(b) Describe and explain the effect of temperature on the rate of an enzyme-catalysed reaction. In your answer, use the term denatured or denaturation.
(c) State three chemical elements that are present in all enzyme molecules.
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解題
(a) An enzyme is a protein that functions as a biological catalyst. (b) As temperature increases towards the optimum temperature, the rate of reaction increases because particles have more kinetic energy and collide more frequently. Above the optimum temperature, the rate of reaction decreases rapidly because the enzyme is denatured, changing the shape of its active site so the substrate can no longer fit. (c) Carbon, hydrogen, oxygen, nitrogen (any three).
評分準則
(a) [2 marks] - biological catalyst (1), - protein (1). (b) [4 marks] - rate increases up to optimum (1), - particles have more kinetic energy / more successful collisions (1), - above optimum, rate decreases (1), - enzyme is denatured / active site changes shape (1). (c) [3 marks] - carbon (1), - hydrogen (1), - oxygen or nitrogen (1).
題目 2 · structured
8.88 分
Fig. 2.1 shows a ray of light reflecting from a plane mirror. The angle between the incident ray and the normal is 35 degrees.
(a) State the angle of reflection.
(b) Define the term normal in relation to the reflection of light.
(c) Name two regions of the electromagnetic spectrum that have a shorter wavelength than visible light.
(d) State one safety hazard associated with exposure to ultraviolet radiation.
(e) A sound wave travels through air. (i) State whether a sound wave is longitudinal or transverse. (ii) Describe, in terms of air particles, what is meant by a compression.
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解題
(a) The angle of reflection is equal to the angle of incidence, which is 35 degrees. (b) The normal is an imaginary line drawn perpendicular (at 90 degrees) to the reflecting surface at the point of incidence. (c) Regions with shorter wavelengths than visible light are ultraviolet, X-rays, and gamma rays. (d) Hazards of ultraviolet radiation include sunburn, premature aging of skin, skin cancer, or eye damage. (e) (i) Sound waves are longitudinal waves. (ii) A compression is a region in a longitudinal wave where the particles are closest together (high pressure).
評分準則
(a) [1 mark] - 35 degrees (1). (b) [1 mark] - line perpendicular / at 90 degrees to the mirror surface (1). (c) [2 marks] - any two from: ultraviolet, X-rays, gamma rays (1 mark each). (d) [1 mark] - skin cancer / sunburn / cataracts / cell damage (1). (e) [3 marks] - (i) longitudinal (1), - (ii) region of high pressure / where air particles are pushed close together (2).
題目 3 · structured
8.88 分
A student sets up an electrical circuit containing a 6.0 V battery, an ammeter, and a resistor connected in series.
(a) State the unit of electric current.
(b) The reading on the ammeter is 0.40 A. Calculate the resistance of the resistor. State the formula used, show your working, and state the unit of your answer.
(c) Describe how a battery, a switch, and two lamps should be connected in a circuit so that the switch turns both lamps on and off at the same time, but if one lamp breaks, the other lamp remains lit.
(d) State the purpose of a fuse in an electrical circuit.
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解題
(a) The unit of electric current is the ampere (or amp), symbol A. (b) Formula: \( R = \frac{V}{I} \) Working: \( R = \frac{6.0}{0.40} = 15 \) Unit: \( \Omega \) (ohms) (c) The two lamps must be connected in parallel with each other. This ensures that if one lamp breaks, the circuit for the other lamp remains complete. The switch and the battery must be in series in the main branch so that opening the switch stops the current to both parallel branches simultaneously. (d) A fuse is a safety device containing a thin wire that melts and breaks the circuit when the current exceeds a specified limit, preventing overheating and risk of fire.
評分準則
(a) [1 mark] - ampere / amp / A (1). (b) [3 marks] - formula: R = V / I (1), - calculation: 15 (1), - unit: ohm / \u03a9 (1). (c) [3 marks] - lamps in parallel with each other (1), - switch in series with battery/power supply (1), - correct explanation of independent paths (1). (d) [2 marks] - melts / breaks the circuit if current is too high (1), - prevents damage/fire (1).
題目 4 · structured
8.88 分
Iron is extracted from its ore, hematite, in a blast furnace.
(a) Name the raw material added to the blast furnace that reacts with silicon dioxide (sand) impurities to form slag.
(b) In the blast furnace, carbon monoxide reacts with iron(III) oxide to produce iron and carbon dioxide. (i) Complete the word equation for this reaction: iron(III) oxide + carbon monoxide -> .................... + .................... (ii) State which substance is reduced in this reaction, and explain your choice in terms of oxygen loss.
(c) Magnesium reacts with dilute hydrochloric acid, but copper does not. (i) Use this information to list copper, hydrogen, and magnesium in order of reactivity, from most reactive to least reactive. (ii) State the test for hydrogen gas and its positive result.
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解題
(a) Limestone (calcium carbonate) is added to react with acidic silicon dioxide impurities to form molten slag (calcium silicate). (b) (i) iron(III) oxide + carbon monoxide -> iron + carbon dioxide (ii) Iron(III) oxide is reduced because it loses oxygen during the reaction (forming iron). (c) (i) Magnesium is the most reactive as it reacts with acid, followed by hydrogen, and copper is the least reactive as it is below hydrogen and does not react with acid. Order: magnesium, hydrogen, copper. (ii) Test: Insert a burning/lighted splint into a test tube of the gas. Positive result: The gas burns with a squeaky pop sound.
評分準則
(a) [1 mark] - limestone / calcium carbonate (1). (b) [3 marks] - (i) iron + carbon dioxide (1), - (ii) iron(III) oxide (1) because it loses oxygen (1). (c) [4 marks] - (i) magnesium > hydrogen > copper (2) (1 mark for magnesium most reactive, 1 mark for hydrogen then copper), - (ii) burning / lighted splint (1), - squeaky pop (1).
題目 5 · structured
8.88 分
A student investigates the rate of reaction between calcium carbonate and dilute hydrochloric acid.
(a) State and explain the effect of increasing the concentration of the acid on the rate of reaction. In your explanation, refer to particle collisions.
(b) The experiment is repeated using the same mass of calcium carbonate, but as a single large lump instead of small pieces. (i) State how this change affects the rate of reaction. (ii) Explain your answer to (b)(i) in terms of surface area and particle collisions.
(c) Give the chemical test and positive result used to identify carbon dioxide gas.
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解題
(a) Increasing concentration increases the rate of reaction. This is because there are more reactant particles in a given volume, leading to a greater frequency of successful collisions between particles. (b) (i) Using a single large lump decreases the rate of reaction. (ii) A large lump has a smaller total surface area than the same mass of small pieces. This means fewer calcium carbonate particles are exposed to the acid, resulting in a lower frequency of collisions. (c) Test: Bubble the gas into limewater. Positive result: The limewater turns cloudy (or milky).
評分準則
(a) [3 marks] - rate increases (1), - more particles per unit volume (1), - greater frequency of collisions (1). (b) [3 marks] - (i) rate decreases (1), - (ii) smaller surface area (1), - fewer collisions per unit time / lower frequency of collisions (1). (c) [2 marks] - bubble into limewater (1), - turns cloudy/milky (1).
題目 6 · structured
8.88 分
A balanced diet is essential for maintaining human health.
(a) State the main function in the human body of each of the following nutrient groups: (i) carbohydrates (ii) proteins (iii) fats
(b) Vitamin C and Vitamin D are important parts of a balanced diet. (i) State one deficiency disease caused by a lack of Vitamin C. (ii) Describe the main role of Vitamin D in the human body.
(c) Iron is an essential mineral. (i) State why the human body requires iron, mentioning the specific oxygen-carrying molecule it is part of. (ii) Identify one food that is a good dietary source of iron.
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解題
(a) (i) Carbohydrates provide the primary source of energy for cellular respiration. (ii) Proteins are needed for the growth and repair of cells and tissues, and to make enzymes. (iii) Fats act as an energy store, provide thermal insulation, and protect internal organs. (b) (i) Scurvy is the deficiency disease caused by a lack of Vitamin C. (ii) Vitamin D is required for the absorption of calcium from food, which is essential for developing strong bones and teeth (preventing rickets). (c) (i) Iron is required to produce haemoglobin, the protein in red blood cells that binds to and transports oxygen throughout the body. (ii) Good dietary sources of iron include red meat, liver, dark green vegetables (such as spinach), and legumes.
評分準則
(a) [3 marks] - (i) source of energy (1), - (ii) growth / tissue repair (1), - (iii) energy storage / insulation (1). (b) [2 marks] - (i) scurvy (1), - (ii) absorption of calcium / bone health (1). (c) [3 marks] - (i) production of haemoglobin (1) for oxygen transport / in red blood cells (1), - (ii) red meat / spinach / liver (1).
題目 7 · structured
8.88 分
A cyclist travels along a straight, flat road.
(a) The cyclist travels a distance of 1800 m in a time of 120 s. Calculate the average speed of the cyclist. State the formula used, show your working, and state the unit of your answer.
(b) The cyclist and the bicycle have a total mass of 80 kg. Calculate the total weight of the cyclist and bicycle on Earth. State the formula used, show your working, and state the unit. [Take the gravitational field strength g as 10 N/kg]
(c) State the energy transfer that takes place in the brake pads of the bicycle when the cyclist applies the brakes to bring the bicycle to a stop.
(b) Formula: \( W = m \times g \) Working: \( W = 80 \times 10 = 800 \) Unit: N (or Newtons)
(c) As the bicycle is braked, kinetic energy is transferred to thermal (heat) energy in the brake pads and wheels, causing them to warm up.
評分準則
(a) [3 marks] - formula: speed = distance / time (1), - calculation: 15 (1), - unit: m/s or m/s^-1 (1). (b) [3 marks] - formula: W = m * g (1), - calculation: 800 (1), - unit: N or Newtons (1). (c) [2 marks] - kinetic energy (1), - transferred to thermal / heat energy (1).
題目 8 · structured
8.88 分
The Periodic Table displays elements in order of proton number. Sodium is in Group I of the Periodic Table.
(a) An atom of sodium has a proton number of 11 and a nucleon number of 23. State the number of: (i) protons in this atom (ii) neutrons in this atom (iii) electrons in this atom
(b) State where most of the mass of a sodium atom is concentrated.
(c) State the relative charge of: (i) a proton (ii) an electron
(d) Define the term element.
(e) Identify how many different elements are present in the compound sodium hydrogencarbonate, NaHCO3.
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解題
(a) (i) The proton number is 11, so there are 11 protons. (ii) The number of neutrons is the nucleon number minus the proton number: \( 23 - 11 = 12 \). (iii) For a neutral atom, the number of electrons equals the number of protons, which is 11. (b) Most of the mass of an atom is concentrated in the nucleus (protons and neutrons have much greater mass than electrons). (c) (i) Proton: +1 (ii) Electron: -1 (d) An element is a substance made up of only one type of atom, which cannot be broken down into simpler substances by chemical means. (e) There are 4 different elements present in \( \text{NaHCO}_3 \): sodium (Na), hydrogen (H), carbon (C), and oxygen (O).
評分準則
(a) [3 marks] - (i) 11 (1), - (ii) 12 (1), - (iii) 11 (1). (b) [1 mark] - nucleus / center of the atom (1). (c) [2 marks] - (i) +1 / positive (1), - (ii) -1 / negative (1). (d) [2 marks] - substance containing only one type of atom (1), - cannot be broken down chemically (1). (e) [1 mark] - 4 elements (1).
題目 9 · structured
8.88 分
A student stands in front of a tall, flat cliff and blows a whistle.
(a) The sound wave from the whistle is a longitudinal wave.
(i) Describe how a longitudinal wave differs from a transverse wave in terms of the direction of vibration relative to the direction of wave travel. [1]
(ii) The student hears an echo from the cliff exactly \(0.60\text{ s}\) after blowing the whistle. The speed of sound in air is \(340\text{ m/s}\). Calculate the distance from the student to the cliff. Show your working and state the unit. [3]
(b) The student then shines a narrow beam of light from a laser torch onto a flat, horizontal mirror. The beam strikes the mirror surface such that the angle between the incident ray and the mirror surface is \(40^\circ\).
(i) Calculate the angle of incidence of the light ray. [2]
(ii) State the angle of reflection. [1]
(iii) State two characteristics of the image of the torch seen in a plane mirror. [2]
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解題
(a) (i) In a longitudinal wave, the particles of the medium vibrate/oscillate back and forth parallel to the direction of wave propagation (energy transfer). In a transverse wave, the particles vibrate perpendicular to the direction of wave propagation.
(ii) The sound wave travels to the cliff and back, covering a total distance of \(d_{\text{total}}\): \(d_{\text{total}} = \text{speed} \times \text{time} = 340\text{ m/s} \times 0.60\text{ s} = 204\text{ m}\). Since the echo travels to the cliff and back, the distance to the cliff is half of the total distance: \(\text{distance} = \frac{204\text{ m}}{2} = 102\text{ m}\).
(b) (i) The normal is an imaginary line perpendicular (at \(90^\circ\)) to the mirror surface. Angle of incidence \(i = 90^\circ - 40^\circ = 50^\circ\).
(ii) By the law of reflection, the angle of reflection is equal to the angle of incidence: Angle of reflection \(r = 50^\circ\).
(iii) Characteristics of an image in a plane mirror include: virtual, upright, same size as the object, laterally inverted, and the same distance behind the mirror as the object is in front of it.
評分準則
(a)(i) - Vibrations in longitudinal wave are parallel to energy travel AND vibrations in transverse wave are perpendicular to energy travel. [1 mark]
(a)(ii) - Recall/use of: distance = speed \u00d7 time (e.g., \(340 \times 0.60 = 204\text{ m}\)) [1 mark] - Division by 2 to find distance to cliff (\(204 / 2 = 102\)) [1 mark] - Correct unit: \(\text{m}\) or metres [1 mark]
(b)(iii) - Any two from: virtual / upright / same size / same distance behind mirror / laterally inverted. [2 marks, 1 mark for each correct feature]
Paper 41 (Theory Extended)
Structured theory questions based on the Extended syllabus. Answer all questions.
9 題目 · 79.92 分
題目 1 · structured
8.88 分
A monochromatic ray of light of frequency \( 5.0 \times 10^{14} \text{ Hz} \) travels from air into a rectangular glass block of refractive index 1.50.
(a) State how the frequency and speed of light change when it enters the glass block from air.
(b) Calculate the speed of light in the glass block. The speed of light in air is \( 3.0 \times 10^8 \text{ m/s} \). Show your working.
(c) Using the concept of wavefronts, explain why the direction of travel of the light ray changes as it enters the glass block at an angle to the normal.
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解題
(a) Frequency remains unchanged / constant. Speed decreases.
(b) \( n = \frac{c}{v} \Rightarrow v = \frac{c}{n} = \frac{3.0 \times 10^8}{1.50} = 2.0 \times 10^8 \text{ m/s} \).
(c) As the wave meets the boundary at an angle, different parts of a wavefront reach the boundary at different times. The part of the wavefront that enters the denser glass block first slows down, while the part still in the air continues at the higher speed. This difference in speed across the wavefront causes the wavefront to pivot/bend, changing the direction of travel towards the normal.
評分準則
Part (a): - Frequency remains constant [1] - Speed decreases [1]
Part (b): - Use of \( v = \frac{c}{n} \) [1] - Calculation to give \( 2.0 \times 10^8 \) [1] - Correct unit \( \text{m/s} \) [1]
Part (c): - Wavefronts approach the boundary at an angle so different parts reach the boundary at different times [1] - The part entering the glass slows down first (while other part is still in air) [1] - This difference in speed causes the wavefronts to pivot / bend / change direction [1]
題目 2 · structured
8.88 分
A student investigates the rate of reaction between calcium carbonate (marble chips) and dilute hydrochloric acid:
(a) Describe how the student can measure the rate of this reaction by collecting the gas produced.
(b) State and explain, in terms of collision theory, the effect of increasing the concentration of the hydrochloric acid on the rate of this reaction.
(c) The hydrochloric acid is in excess. Compare the total volume of carbon dioxide gas produced when the concentration of acid is doubled but its volume is kept the same, and explain your answer.
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解題
(a) Connect the reaction flask to a gas syringe using a delivery tube. Measure the volume of carbon dioxide gas collected at regular time intervals (e.g., every 10 seconds) using a stopwatch.
(b) Increasing concentration increases the rate of reaction. This is because there are more reactant particles (hydrogen ions / acid particles) per unit volume. Therefore, the frequency of collisions between reactant particles increases, leading to a higher rate of successful collisions.
(c) The total volume of carbon dioxide gas produced remains the same. Calcium carbonate is the limiting reactant because the acid is in excess in both experiments. Since the mass of calcium carbonate remains unchanged, the total moles of product formed must be the same.
評分準則
Part (a): - Collect gas in a gas syringe (or by displacement of water in a measuring cylinder) [1] - Measure volume of gas at regular time intervals / use a stopwatch [1]
Part (b): - Rate of reaction increases [1] - More particles per unit volume [1] - More frequent collisions (or higher collision frequency) [1] - More frequent successful/effective collisions [1]
Part (c): - Volume of carbon dioxide is the same [1] - Calcium carbonate is the limiting reactant / acid is in excess [1]
題目 3 · structured
8.88 分
An electric motor is used to lift a metal block of mass 1.2 kg vertically upwards through a height of 5.0 m in a time of 4.0 s. The gravitational field strength \( g \) is \( 9.8 \text{ m/s}^2 \).
(a) Calculate the gain in gravitational potential energy of the metal block. Show your working.
(b) The electrical energy supplied to the motor is converted to useful gravitational potential energy with an efficiency of 60%.
(i) Calculate the useful power output of the motor. Show your working.
(ii) Calculate the electrical power input to the motor.
(c) Describe what happens to the energy that is not usefully transferred.
(c) The energy that is not usefully transferred is dissipated / lost to the surroundings, primarily as thermal energy (due to friction in bearings) and sound energy.
評分準則
Part (a): - Use of \( \Delta E_p = mgh \) [1] - Correct calculation: \( 58.8 \text{ J} \) [1]
Part (b)(i): - Use of \( P = \frac{W}{t} \) [1] - Correct calculation: \( 14.7 \text{ W} \) (accept \( \text{J/s} \)) [1]
Part (b)(ii): - Use of \( \text{Efficiency} = \frac{\text{Power output}}{\text{Power input}} \) [1] - Correct calculation: \( 24.5 \text{ W} \) [1]
Part (c): - Dissipated / transferred to surroundings [1] - Form of energy specified: thermal / heat / sound [1]
題目 4 · structured
8.88 分
Amylase is an enzyme that catalyzes the breakdown of starch into maltose.
(a) Explain how the molecular structure of amylase allows it to specifically bind to and catalyze the breakdown of starch, but not other biological molecules like proteins.
(b) Describe and explain, in terms of kinetic energy and molecular collisions, the effect of raising the temperature of the reaction mixture from 20 °C to 40 °C (assuming 40 °C is the optimum temperature).
(c) Explain why the rate of reaction falls to zero when the mixture is heated to 80 °C.
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解題
(a) Amylase is a protein with a specific three-dimensional shape. It has an active site. The shape of the active site is complementary only to the shape of the starch molecule (substrate). This is known as the lock and key mechanism, meaning only starch can fit into the active site of amylase to form an enzyme-substrate complex.
(b) As temperature increases from 20 °C to 40 °C, the amylase and starch molecules gain more kinetic energy. This causes them to move faster, leading to a higher frequency of collisions between the substrate molecules and the active site. More collisions have sufficient energy, resulting in a higher rate of enzyme-substrate complex formation and a higher reaction rate.
(c) At 80 °C, the high temperature disrupts the bonds maintaining the three-dimensional structure of the enzyme protein. This changes the shape of the active site (denaturation). The starch substrate can no longer fit into the modified active site, so no enzyme-substrate complexes can form, and the reaction stops.
評分準則
Part (a): - Enzyme has an active site [1] - Active site has a complementary shape to the substrate (starch) [1] - Reference to 'lock and key' model / enzyme-substrate complex [1]
Part (b): - Molecules gain more kinetic energy [1] - Move faster / higher frequency of collisions [1] - More frequent successful collisions / more enzyme-substrate complexes formed per unit time [1]
Part (c): - Enzyme is denatured [1] - Shape of active site is changed so substrate can no longer fit [1]
題目 5 · structured
8.88 分
A student sets up a circuit with a 6.0 V battery connected in series to a 4.0 \(\Omega\) resistor and a parallel combination of two 12 \(\Omega\) resistors.
(a) Show that the combined resistance of the two 12 \(\Omega\) resistors in parallel is 6.0 \(\Omega\).
(b) State the total resistance of the entire circuit.
(c) Calculate the total current flowing from the 6.0 V battery. Show your working.
(d) Calculate the electrical power dissipated in the 4.0 \(\Omega\) resistor. State the unit of your answer.
Alternatively, potential difference across 4.0 \(\Omega\) resistor is \( V = I R = 0.60 \times 4.0 = 2.4 \text{ V} \).
\( P = I V = 0.60 \times 2.4 = 1.44 \text{ W} \).
評分準則
Part (a): - Use of \( \frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} \) or \( R_p = \frac{R_1 R_2}{R_1 + R_2} \) [1] - Correct calculation to show 6.0 \(\Omega\) [1]
Part (c): - Use of \( I = \frac{V}{R} \) [1] - Calculation of 0.60 A [1]
Part (d): - Use of \( P = I^2 R \) or \( P = I V \) [1] - Correct calculation to give 1.44 [1] - Unit: W / Watts [1]
題目 6 · structured
8.88 分
Iron is extracted from its ore, hematite, in a blast furnace.
(a) Name three raw materials that are added to the top of the blast furnace.
(b) In the furnace, carbon monoxide gas reacts with hematite (iron(III) oxide, \( \text{Fe}_2\text{O}_3 \)) to produce molten iron and carbon dioxide. Write the balanced chemical equation for this reaction.
(c) Explain why the reaction in (b) is described as a redox reaction, with reference to the substances being oxidized and reduced in terms of oxygen transfer.
(d) Limestone is added to the blast furnace to remove impurities such as silicon dioxide. State the chemical name of the compound formed when calcium oxide reacts with silicon dioxide.
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解題
(a) The three raw materials are hematite (or iron ore), coke (or carbon), and limestone (or calcium carbonate).
(c) It is a redox reaction because both oxidation and reduction occur simultaneously. \( \text{Fe}_2\text{O}_3 \) is reduced because it loses oxygen to become iron (\( \text{Fe} \)), while \( \text{CO} \) is oxidized because it gains oxygen to become \( \text{CO}_2 \).
(d) Calcium oxide (a basic oxide) reacts with silicon dioxide (an acidic impurity) to form calcium silicate (slag):
Part (a): - Hematite / iron ore [1] - Coke / carbon [1] - Limestone / calcium carbonate [1]
Part (b): - Correct formulas of reactants and products: \( \text{Fe}_2\text{O}_3 + \text{CO} \rightarrow \text{Fe} + \text{CO}_2 \) [1] - Correct balancing: 1, 3, 2, 3 [1]
Part (c): - Iron(III) oxide is reduced because it loses oxygen [1] - Carbon monoxide is oxidized because it gains oxygen [1]
Part (d): - Calcium silicate (accept \( \text{CaSiO}_3 \)) [1.88]
題目 7 · structured
8.88 分
A balanced diet contains all the nutrients required for healthy body function.
(a) Match the nutrient with its correct physiological function in the body:
(i) Vitamin C
(ii) Vitamin D
(iii) Iron
(b) State the name of the deficiency disease caused by a lack of:
(i) Vitamin C
(ii) Vitamin D
(c) Describe the process of mechanical digestion in the human alimentary canal and explain how it differs from chemical digestion.
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解題
(a)(i) Vitamin C is required for maintaining healthy skin, gums, blood vessels, and tissue repair (collagen synthesis).
(a)(ii) Vitamin D is required for calcium absorption and maintaining strong bones and teeth.
(a)(iii) Iron is required for the production of hemoglobin in red blood cells to transport oxygen.
(b)(i) Scurvy
(b)(ii) Rickets
(c) Mechanical digestion is the physical breakdown of food into smaller pieces (e.g., chewing by teeth, churning in stomach). This increases the surface area of the food. It does not alter the chemical nature of the molecules. In contrast, chemical digestion is the breakdown of large, insoluble food molecules into small, soluble ones, catalyzed by enzymes, which changes the chemical structure of the food.
評分準則
Part (a): - (i) Healthy skin / gums / healing wounds / making collagen [1] - (ii) Calcium absorption / healthy bones / teeth [1] - (iii) Making hemoglobin / red blood cells (for oxygen transport) [1]
Part (b): - (i) Scurvy [1] - (ii) Rickets [1]
Part (c): - Mechanical digestion involves physical breakdown / chewing / churning / breaking large pieces to smaller pieces [1] - Increases surface area of food [1] - Chemical digestion changes chemical structure / uses enzymes / breaks down large insoluble molecules into small soluble molecules [1.88]
題目 8 · structured
8.88 分
Chlorine is in Group VII of the Periodic Table.
(a) Define the term isotopes.
(b) State the number of protons, neutrons, and electrons in:
(i) an atom of chlorine-35, \( ^{35}_{17}\text{Cl} \)
(ii) a chloride ion formed from chlorine-37, \( ^{37}_{17}\text{Cl}^- \)
(c) Describe how a covalent bond is formed between two chlorine atoms in a chlorine molecule, \( \text{Cl}_2 \).
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解題
(a) Isotopes are atoms of the same element with the same number of protons (same atomic number) but different numbers of neutrons (different nucleon number).
(b)(ii) Chloride-37 ion (\( \text{Cl}^- \)): - Protons = 17 (since it is still chlorine) - Neutrons = 37 - 17 = 20 - Electrons = 18 (since it has a charge of -1, meaning it has gained 1 electron, so 17 + 1 = 18)
(c) Chlorine has 7 outer shell electrons. To gain a full stable outer shell of 8 electrons, two chlorine atoms share one pair of electrons. Each chlorine atom contributes one electron to the shared pair, forming a single covalent bond.
評分準則
Part (a): - Atoms with the same number of protons / same atomic number [1] - Different number of neutrons / different nucleon number [1]
Part (c): - Chlorine atoms need to share electrons to obtain a full outer shell / 8 electrons [1] - One pair of electrons is shared (one from each atom) [1]
題目 9 · structured
8.88 分
An electrical circuit contains a \(12.0\text{ V}\) d.c. power supply connected to a parallel combination of a fixed resistor of resistance \(6.0\ \Omega\) and a filament lamp.
(a) When the circuit is switched on, the total current drawn from the power supply is \(3.5\text{ A}\).
(i) Show that the current through the \(6.0\ \Omega\) resistor is \(2.0\text{ A}\).
(ii) Determine the current flowing through the filament lamp.
(iii) Calculate the electrical resistance of the filament lamp under these conditions.
(b) Calculate the total combined resistance of the parallel combination of the resistor and the lamp.
(c) Calculate the energy transferred by the \(6.0\ \Omega\) resistor in \(5.0\) minutes. Give your answer in kilojoules (\(\text{kJ}\)).
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解題
(a)(i) In a parallel circuit, the potential difference across each branch is equal to the supply voltage, so the potential difference across the \(6.0\ \Omega\) resistor is \(12.0\text{ V}\). Using Ohm's law: \(I = \frac{V}{R} = \frac{12.0\text{ V}}{6.0\ \Omega} = 2.0\text{ A}\).
(a)(ii) The total current is the sum of currents in the parallel branches: \(I_{\text{lamp}} = I_{\text{total}} - I_{\text{resistor}} = 3.5\text{ A} - 2.0\text{ A} = 1.5\text{ A}\).
(a)(iii) The voltage across the lamp is also \(12.0\text{ V}\). Using Ohm's law: \(R_{\text{lamp}} = \frac{V}{I_{\text{lamp}}} = \frac{12.0\text{ V}}{1.5\text{ A}} = 8.0\ \Omega\).
(b) The combined resistance can be calculated using either the parallel resistance formula or Ohm's law on the total circuit: \(R_{\text{total}} = \frac{V}{I_{\text{total}}} = \frac{12.0\text{ V}}{3.5\text{ A}} \approx 3.4\ \Omega\) (or \(3.43\ \Omega\)). Alternatively: \(\frac{1}{R_{\text{total}}} = \frac{1}{6.0} + \frac{1}{8.0} = \frac{7}{24}\), \(R_{\text{total}} = \frac{24}{7} \approx 3.4\ \Omega\).
(c) First, convert time to seconds: \(t = 5.0\text{ minutes} \times 60\text{ s/minute} = 300\text{ s}\).
Now, calculate the power of the \(6.0\ \Omega\) resistor: \(P = V \times I = 12.0\text{ V} \times 2.0\text{ A} = 24.0\text{ W}\) (or \(P = I^2 R = 2.0^2 \times 6.0 = 24.0\text{ W}\)).
Calculate the energy transferred: \(E = P \times t = 24.0\text{ W} \times 300\text{ s} = 7200\text{ J}\).
Convert to kilojoules: \(E = \frac{7200}{1000} = 7.2\text{ kJ}\).
評分準則
(a)(i) [2 Marks] - State that potential difference across the parallel resistor is \(12.0\text{ V}\) [1] - Calculation: \(I = \frac{12.0}{6.0} = 2.0\text{ A}\) [1]
(b) [2 Marks] - Use of \(R_{\text{total}} = \frac{V}{I_{\text{total}}}\,\) OR \(\,\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2}\) [1] - Correct calculation: \(3.4\ \Omega\) (accept \(3.43\ \Omega\) or \(\frac{24}{7}\ \Omega\)) [1]
(c) [2 Marks] - Conversion of time: \(5.0\text{ minutes} = 300\text{ s}\) [1] - Correct formula usage and conversion to \(\text{kJ}\): \(E = 12.0 \times 2.0 \times 300 = 7200\text{ J} = 7.2\text{ kJ}\) [1] (Accept alternative calculation using \(P = I^2 R = 2.0^2 \times 6.0 = 24\text{ W}\))
Paper 51 (Practical Test)
Practical tasks assessing experimental and planning skills. Answer all questions.
4 題目 · 40 分
題目 1 · practical
10 分
A student investigates the rate of reaction of the enzyme catalase (found in yeast) at different concentrations of hydrogen peroxide substrate.
(a) The student measures the volume of oxygen gas produced in 2 minutes. The gas syringe readings for two trials are shown below: - Trial 1 (for 1.5% concentration): the syringe plunger points exactly halfway between 14 and 15 \(\text{cm}^3\). - Trial 2 (for 3.0% concentration): the syringe plunger points exactly on 28.0 \(\text{cm}^3\). Record these two volumes.
(b) Identify the independent variable and the dependent variable in this investigation.
(c) State two variables that must be controlled (kept constant) to ensure a fair test.
(d) Explain why measuring the volume of gas at 15-second intervals over the 2 minutes is a better procedure than just measuring the final volume at 2 minutes.
(e) Describe a safety hazard in this experiment and state one appropriate precaution to minimize this risk.
(f) State the chemical test used to confirm that the gas produced is indeed oxygen, including the positive result.
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解題
(a) reading Trial 1: exactly halfway between 14 and 15 gives 14.5 \(\text{cm}^3\). Trial 2 is exactly on 28.0 \(\text{cm}^3\). (b) The independent variable is the parameter changed by the experimenter (concentration of hydrogen peroxide). The dependent variable is the parameter measured (volume of oxygen gas produced). (c) Control variables include the temperature of the reactants (controlled using a water bath) and the concentration or volume of the yeast suspension to ensure enzyme concentration remains constant. (d) Taking regular interval readings allows the initial rate of reaction (the steepest part of the curve) to be calculated. At later times, the rate slows down as substrate is depleted. (e) Hydrogen peroxide is a chemical irritant. Safety goggles must be worn to protect eyes from splashes. (f) The standard test for oxygen is that it relights a glowing splint.
評分準則
[Total: 10 marks] (a) [2 marks] 1 mark for each correct volume reading: 14.5 \(\text{cm}^3\) and 28.0 \(\text{cm}^3\) (must include units or correct decimals). (b) [2 marks] 1 mark for identifying independent variable as hydrogen peroxide concentration, and 1 mark for dependent variable as volume of gas. (c) [2 marks] 1 mark for each valid control variable (e.g., yeast volume, yeast concentration, temperature, or pH). (d) [2 marks] 1 mark for identifying that it allows the initial/maximum rate to be plotted, 1 mark for stating that rate changes/slows down over time due to substrate depletion. (e) [1 mark] 1 mark for identifying a valid hazard (hydrogen peroxide is an irritant/corrosive) and its matching precaution (goggles/gloves). (f) [1 mark] 1 mark for glowing splint relights.
題目 2 · practical
10 分
A student investigates the rate of reaction between dilute hydrochloric acid and calcium carbonate (marble chips).
(a) The reaction is monitored by measuring mass loss as carbon dioxide gas escapes. - The initial mass of the flask and reactants at \( t = 0\text{ s} \) is 156.45 g. - The final mass of the flask and contents at \( t = 300\text{ s} \) is 155.65 g. Calculate the total loss in mass.
(b) Explain why a plug of cotton wool is inserted into the neck of the conical flask rather than sealing it with a rubber bung.
(c) Describe the chemical test used to identify carbon dioxide gas, including the positive result.
(d) The student repeats the experiment using the same mass of calcium carbonate but as a fine powder instead of medium-sized chips. (i) State how this change affects the rate of reaction. (ii) Use collision theory to explain the change in rate.
(e) Suggest why the total mass loss at the end of the reaction is identical in both experiments, assuming all calcium carbonate reacts completely.
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解題
(a) Mass loss = \( 156.45\text{ g} - 155.65\text{ g} = 0.80\text{ g} \). (b) Sealing the flask with a rubber bung would prevent gas from escaping, building up pressure and keeping the mass constant. Using cotton wool allows gas to exit while blocking liquid droplets/spray. (c) Limewater (calcium hydroxide solution) turns cloudy when carbon dioxide is bubbled through it due to the formation of insoluble calcium carbonate. (d) (i) Dividing a solid into a powder increases its surface area to volume ratio, increasing the rate of reaction. (ii) A larger surface area means more reactant particles are exposed, leading to a higher frequency of successful collisions. (e) Mass of product is determined by the limiting reactant. Since the initial mass of calcium carbonate is identical and acid is in excess, the same mass of gas is evolved at completion.
評分準則
[Total: 10 marks] (a) [1 mark] Correct subtraction showing mass loss of 0.80 g (accept 0.8 g). (b) [2 marks] 1 mark for stating that it allows gas to escape (preventing pressure build-up), 1 mark for stating that it prevents acid spray/droplets from escaping. (c) [2 marks] 1 mark for limewater test, 1 mark for correct observation (turns cloudy / milky / white precipitate). (d) [4 marks] - (i) [1 mark] Correctly states that the rate of reaction increases / reaction is faster. - (ii) [3 marks] 1 mark for larger surface area (of powder), 1 mark for more frequent collisions, 1 mark for referencing "per unit time" or "rate of collisions". (e) [1 mark] 1 mark for stating that the same starting mass of reactants yields the same quantity of product / the stoichiometry/limiting reactant is unchanged.
題目 3 · practical
10 分
A student investigates how the electrical resistance of a metal wire depends on its length.
(a) Describe how you would set up a circuit to measure the current in the wire and the potential difference across it. Your description should state how the ammeter and voltmeter are connected in relation to the test wire.
(b) For a wire length of 50.0 cm, the ammeter reads 0.40 A and the voltmeter reads 2.20 V. (i) Calculate the resistance \( R \) of this length of wire. State the formula used and include the correct unit in your answer. (ii) Calculate the resistance per unit length of this wire in \( \Omega/\text{cm} \).
(c) During the experiment, the student notices that the temperature of the wire increases significantly. (i) Explain why an increase in temperature is a source of error in this experiment. (ii) Suggest one practical modification to the procedure to prevent the wire from heating up.
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解題
(a) To measure current, an ammeter must be placed in series with the component. To measure potential difference, a voltmeter must be placed in parallel across the component. Therefore, the ammeter is in series with the cell, switch, and resistance wire, while the voltmeter is connected in parallel across the test wire length. (b) (i) Using Ohm's Law: \( R = \frac{V}{I} = \frac{2.20}{0.40} = 5.5\ \Omega \). The unit symbol is \( \Omega \) (ohms). (ii) Resistance per unit length is calculated by dividing the total resistance by the length: \( \frac{5.5\ \Omega}{50.0\text{ cm}} = 0.11\ \Omega/\text{cm} \). (c) (i) As the temperature of a metal wire increases, metal ions vibrate more, which increases the resistance of the wire. This alters the independent relationship between length and resistance. (ii) A simple way to prevent heating is to only close the switch long enough to take a rapid reading of the meters, then immediately open the switch to stop current flow.
評分準則
[Total: 10 marks] (a) [3 marks] - 1 mark for stating ammeter connected in series. - 1 mark for stating voltmeter connected in parallel across the test wire. - 1 mark for mentioning a complete, closed circuit including cell/power supply and switch. (b) [3 marks] - (i) [2 marks] 1 mark for correct formula \( R = V/I \) and calculation yielding 5.5; 1 mark for correct unit symbol \( \Omega \) (or ohms). - (ii) [1 mark] Correct calculation of 0.11 (accept 11 \( \Omega/\text{m} \) if clearly converted, but question specifies \( \Omega/\text{cm} \)). (c) [4 marks] - (i) [2 marks] 1 mark for stating that resistance depends on temperature / temperature is a variable that affects resistance; 1 mark for identifying that it is no longer a fair test of length vs resistance. - (ii) [2 marks] 1 mark for turning off the power/circuit between readings; 1 mark for explanation (allows wire to cool down to room temperature / minimizes current heating effect).
題目 4 · practical
10 分
Plan an investigation to compare the effectiveness of three different materials (bubble wrap, paper, and cotton wool) as thermal insulators for keeping a container of hot water warm.
Your plan should include: - a list of the apparatus needed, - a clear description of the experimental procedure, - the key variables to control (at least two) to ensure a fair test, - the measurements to be taken, - how the results will be processed and used to determine which material is the best insulator.
You may include a labeled diagram if helpful.
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解題
To construct a successful plan, address each prompt systematically: 1. **Apparatus**: You need containers (beakers) to hold the water, insulating materials (bubble wrap, paper, cotton wool), a method of heating water (kettle), a device to measure volume (measuring cylinder), a device to measure temperature (thermometer), and a timer (stopwatch). 2. **Procedure**: Wrap three identical beakers in equal layers of the respective materials. Boil water and measure equal volumes (e.g., 150 \(\text{cm}^3\)) into each. Place a thermometer in each. Record the starting temperature (aiming for the same initial temperature, e.g., 80\(^\circ\text{C}\)). Start the timer and record temperature at set intervals (e.g., every minute) for 10 minutes. 3. **Variables to control**: Volume of hot water used, starting temperature, layers/thickness of wrap, beaker size/shape, whether a lid is used, and room draft/ambient temperature. 4. **Measurements**: Initial and final temperatures, time. 5. **Analysis**: Determine the temperature drop: \( \Delta T = T_{\text{initial}} - T_{\text{final}} \). Compare values; the best insulator has the lowest temperature drop. Alternatively, describe plotting temperature vs. time graphs.
評分準則
[Total: 10 marks] - **Apparatus** [2 marks]: 1 mark for thermometer and stopwatch; 1 mark for beakers, measuring cylinder, and insulation sheets. - **Method/Procedure** [3 marks]: - 1 mark for wrapping beakers with different materials and adding hot water. - 1 mark for using a measuring cylinder to control the volume of water. - 1 mark for recording initial temperature and starting a timer to record subsequent temperatures. - **Control Variables** [2 marks]: 1 mark for each valid control variable (e.g., same volume of water, same initial temperature, same thickness/layers of insulating material, same size/type of beaker, use of lids on all or none) - maximum 2 marks. - **Measurements** [1 mark]: 1 mark for stating that temperature is measured at regular intervals (e.g., every minute) or comparing initial and final temperatures. - **Analysis & Conclusion** [2 marks]: - 1 mark for stating how to process data (e.g., calculate temperature change \( \Delta T \) or plot cooling curves of temperature against time). - 1 mark for identifying that the best insulator has the lowest temperature drop / slowest rate of cooling.
Paper 61 (Alternative to Practical)
Written questions assessing experimental design, analysis, and planning skills. Answer all questions.
4 題目 · 40 分
題目 1 · practical
10 分
A student investigates the effect of temperature on the rate of starch digestion by the enzyme amylase. Amylase and starch are mixed in test-tubes placed in water baths at five different temperatures: \(20^\circ\text{C}\), \(30^\circ\text{C}\), \(40^\circ\text{C}\), \(50^\circ\text{C}\), and \(60^\circ\text{C}\). At 30-second intervals, samples of each mixture are added to drops of iodine solution on a spotting tile. (a) State the color of iodine solution: (i) when starch is present, (ii) when starch has been completely digested. [2] (b) The times taken for starch to be completely digested (the endpoint, when iodine no longer changes color) are: \(20^\circ\text{C}\): 300 s; \(30^\circ\text{C}\): 180 s; \(40^\circ\text{C}\): 90 s; \(50^\circ\text{C}\): 240 s; \(60^\circ\text{C}\): starch was still present after 600 s. Draw a table to record these results. Include suitable column headings with units. [2] (c) State one variable that must be kept constant in this investigation, other than the volume of amylase and starch. [1] (d) Explain why the separate solutions of amylase and starch were placed in the water baths for 5 minutes *before* mixing them. [1] (e) Explain, in terms of protein structure, why the starch was not digested at \(60^\circ\text{C}\). [2] (f) Suggest one improvement to the method to obtain a more precise value for the time taken for starch to be digested. [2]
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解題
Part (a): When starch is present, iodine solution changes from its natural orange-brown color to blue-black. When all the starch is digested, the mixture no longer contains starch, so the iodine solution remains orange-brown. Part (b): A clear, ruled table with correct headers and units is required: Column 1: Temperature / \(^\circ\text{C}\) (values: 20, 30, 40, 50, 60); Column 2: Time taken to reach endpoint / s (values: 300, 180, 90, 240, > 600 or 'not digested'). Part (c): The pH must be kept constant using a buffer solution, or the concentration of starch/amylase must be kept constant to ensure a fair test. Part (d): Pre-heating the reactants ensures that they are already at the exact target temperature when mixed, preventing temperature lag. Part (e): At \(60^\circ\text{C}\), high thermal energy breaks the bonds maintaining the tertiary structure of the amylase protein. The active site changes shape (denatures), meaning the starch substrate is no longer complementary and cannot bind. Part (f): Testing at shorter intervals (e.g., every 10 seconds) reduces the uncertainty of the exact moment the starch is fully digested, making the time measurement more precise.
評分準則
(a) 1 mark for blue-black (starch present). 1 mark for yellow/brown/orange (starch digested). [2] (b) 1 mark for correct column headings with units (Temperature / \(^\circ\text{C}\) and Time / s). 1 mark for entering all 5 data points correctly, including noting that at \(60^\circ\text{C}\) it was not digested / exceeded 600 s. [2] (c) 1 mark for pH / concentration of amylase / concentration of starch. [1] (d) 1 mark for ensuring the reactants are at the target temperature before mixing. [1] (e) 1 mark for enzyme is denatured. 1 mark for active site changes shape / substrate no longer fits. [2] (f) 1 mark for testing at shorter time intervals. 1 mark for suggesting a specific shorter interval (e.g., every 10 or 15 s). [2]
題目 2 · practical
10 分
A student investigates the rate of reaction between dilute hydrochloric acid and excess calcium carbonate chips: \(\text{CaCO}_3\text{(s)} + 2\text{HCl(aq)} \rightarrow \text{CaCl}_2\text{(aq)} + \text{H}_2\text{O(l)} + \text{CO}_2\text{(g)}\) The volume of carbon dioxide gas produced is measured at regular intervals using a gas syringe. (a) Draw a labelled diagram of the assembled apparatus the student should use to carry out this experiment and collect the gas. [3] (b) The student records the following volumes of carbon dioxide gas at different times: 0 s: \(0\text{ cm}^3\); 30 s: \(24\text{ cm}^3\); 60 s: \(41\text{ cm}^3\); 90 s: \(52\text{ cm}^3\); 120 s: \(58\text{ cm}^3\); 150 s: \(60\text{ cm}^3\); 180 s: \(60\text{ cm}^3\). (i) Describe how the rate of reaction changes over the first 150 seconds. Refer to the data in your answer. [2] (ii) Explain why the reaction stops after 150 seconds. [1] (c) Describe the chemical test used to confirm that the gas produced is carbon dioxide, including the observation for a positive result. [2] (d) The student repeats the experiment using the same mass of calcium carbonate, but as a fine powder instead of large chips. (i) State how the rate of reaction changes when using powder. [1] (ii) Explain this difference in rate using ideas about particle collisions. [1]
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解題
Part (a): The diagram must be clear and functional, featuring: 1. A reaction vessel (conical flask) containing the reactants (calcium carbonate chips and hydrochloric acid). 2. A tight-fitting rubber bung/stopper with a single delivery tube. 3. The delivery tube connects directly to a graduated gas syringe. 4. All parts must be clearly labelled. Part (b)(i): The rate of reaction is fastest at the start and progressively decreases. This is supported by the data: from 0 to 30 s, the volume increase is \(24\text{ cm}^3\), whereas from 120 to 150 s, the volume increase is only \(2\text{ cm}^3\). Part (b)(ii): The reaction stops because the limiting reactant (hydrochloric acid) is completely depleted. Part (c): The chemical test for carbon dioxide gas involves bubbling it through limewater (aqueous calcium hydroxide). A positive result is indicated when the limewater turns cloudy/milky due to the formation of insoluble calcium carbonate precipitate. Part (d)(i): Using a powder instead of large chips increases the rate of reaction. Part (d)(ii): Powders have a much larger total surface area exposed to the acid. This increases the frequency of collisions between hydrogen ions in the acid and the calcium carbonate particles per unit time, thereby increasing the reaction rate.
評分準則
(a) 1 mark for drawing a closed reaction flask containing solid and liquid. 1 mark for showing a gas syringe connected via a delivery tube. 1 mark for correct labels. [3] (b)(i) 1 mark for stating that the rate decreases over time. 1 mark for citing values showing a decreasing volume change per unit time. [2] (b)(ii) 1 mark for stating that the acid (limiting reactant) is completely used up. [1] (c) 1 mark for bubbling the gas through limewater. 1 mark for stating that the limewater turns cloudy or milky. [2] (d)(i) 1 mark for stating the rate increases. [1] (d)(ii) 1 mark for explaining that powder has a larger surface area, leading to a higher frequency of collisions. [1]
題目 3 · practical
10 分
A student investigates the refraction of a ray of light passing through a rectangular glass block. The student traces the outline of the glass block on a sheet of paper. They shine a single ray of light from a ray box into the block and mark the paths of the incident ray and the refracted ray. (a) Describe how the student should construct the normal line at the point of entry on the glass block's boundary. [1] (b) The student measures the angle of incidence \(i = 45^\circ\) and the angle of refraction \(r = 28^\circ\). (i) State the name of the instrument used to measure these angles. [1] (ii) Calculate the refractive index \(n\) of the glass using the formula: \(n = \frac{\sin i}{\sin r}\). Show your working and give your answer to an appropriate number of significant figures. [2] (c) The student repeats the experiment for several different angles of incidence. They plot a graph of \(\sin i\) against \(\sin r\) to find a more accurate value for \(n\). (i) State which quantity (\(\sin i\) or \(\sin r\)) should be plotted on the vertical (y-axis) to ensure the gradient of the line of best fit represents the refractive index \(n\). Explain your answer. [2] (ii) Suggest one practical precaution the student should take to ensure that the rays are tracked as accurately as possible. [1] (d) Another student does not have a ray box and instead uses optical pins to trace the path of the light ray through the glass block. Describe how the student should place and use the pins to find the path of the refracted ray. [3]
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解題
Part (a): The normal line is drawn perpendicular (\(90^\circ\)) to the boundary of the glass block. The student should use a protractor aligned with the edge of the block outline at the exact point of incidence to mark and draw this line. Part (b)(i): A protractor is used to measure angles. Part (b)(ii): Using the given values: \(\sin(45^\circ) = 0.7071\), \(\sin(28^\circ) = 0.4695\), \(n = \frac{0.7071}{0.4695} \approx 1.51\). Part (c)(i): Since \(n = \frac{\sin i}{\sin r}\), multiplying both sides by \(\sin r\) yields \(\sin i = n \cdot \sin r\). Comparing this to the equation of a straight line, \(y = mx\), if \(\sin i\) is on the y-axis and \(\sin r\) is on the x-axis, the gradient \(m\) will equal the refractive index \(n\). Part (c)(ii): To improve accuracy, the student should use a thin, sharp pencil to trace the lines, use a narrow slit on the ray box to get a thin beam, and align the pencil marks with the center of the light beam. Part (d): The optical pin method requires: 1. Pinning down the paper, tracing the block, and drawing an incident line. Place two pins (P1 and P2) at least 5 cm apart along this incident line. 2. Looking through the opposite side of the block at the images of P1 and P2. Place a third pin (P3) such that it covers/aligns with the images of P1 and P2. 3. Place a fourth pin (P4) aligned with P3 and the images of P1 and P2. 4. Remove the block and pins, then draw a line through P3 and P4 to the block boundary. Join this point to the incident point to find the path of the refracted ray inside the block.
評分準則
(a) 1 mark for stating that the normal must be drawn at \(90^\circ\) to the surface at the point of incidence. [1] (b)(i) 1 mark for protractor. [1] (b)(ii) 1 mark for calculating correct sines (\(\sin 45^\circ = 0.71\) and \(\sin 28^\circ = 0.47\)). 1 mark for final answer of 1.5 or 1.51. [2] (c)(i) 1 mark for stating \(\sin i\) should be on the y-axis. 1 mark for explaining that this makes the gradient of the graph equal to the refractive index \(n\). [2] (c)(ii) 1 mark for any one of: use a thin ray of light / use a sharp pencil / mark the center of the ray. [1] (d) 1 mark for placing two pins along the incident line. 1 mark for viewing from the opposite side and placing two more pins so they appear to align with the first two. 1 mark for drawing a line through the pin holes to determine the exit ray and joining it to the incident point. [3]
題目 4 · practical
10 分
A student investigates how the electrical resistance of a metal wire depends on its length. The student sets up a circuit with a power supply, a switch, an ammeter, a voltmeter, and a length of resistance wire attached to a meter ruler. A sliding contact (jockey) is used to connect the circuit to different points along the wire. (a) Draw a circuit diagram showing the power supply, a switch, an ammeter, the resistance wire, the sliding contact, and a voltmeter connected to measure the potential difference across the length of the wire being tested. [3] (b) For a wire length \(L = 20.0\text{ cm}\): The voltmeter shows a reading exactly midway between the 1.0 V and 2.0 V divisions. The ammeter needle points to 0.40 A. (i) State the value of the potential difference \(V\) and the current \(I\). [2] (ii) Calculate the resistance \(R\) of this 20.0 cm length of wire using the formula: \(R = \frac{V}{I}\). State the unit. [2] (c) The student records the resistance of several other lengths of the same wire and plots a graph of resistance \(R\) (y-axis) against length \(L\) (x-axis). (i) State the expected relationship between the resistance and the length of the wire. [1] (ii) Explain why it is important to open the switch between taking measurements of different lengths. [1] (iii) Suggest why a variable resistor (rheostat) is often added in series in the main circuit loop. [1]
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解題
Part (a): The circuit diagram should feature: 1. A cell or power supply, a closed switch, an ammeter, and the resistance wire connected in series. 2. A sliding contact (represented as an arrow pointing to the resistance wire). 3. A voltmeter connected in parallel with the length of the resistance wire being measured (across the fixed end of the wire and the sliding contact). 4. Standard circuit symbols must be used correctly throughout. Part (b)(i): The voltmeter reading is exactly halfway between 1.0 V and 2.0 V, which is \(1.5\text{ V}\). The current \(I\) is read directly as \(0.40\text{ A}\). Part (b)(ii): Using Ohm's Law: \(R = \frac{V}{I} = \frac{1.5}{0.40} = 3.75\ \Omega\). The unit is the ohm (represented by the symbol \(\Omega\)). Part (c)(i): Resistance is directly proportional to the length of the wire (a straight-line graph through the origin is expected). Part (c)(ii): Current flowing through a wire causes heating due to electrical resistance. Since resistance increases with temperature, switching off the current between readings prevents temperature rise and ensures a fair test. Part (c)(iii): A variable resistor can be adjusted to limit the current flowing through the circuit, keeping it low to minimize heating effects, or to keep the current constant across different tests.
評分準則
(a) 1 mark for power supply, switch, and ammeter in series with the test wire. 1 mark for voltmeter connected in parallel across the test wire. 1 mark for correct symbols used for all components, including a clear representation of the sliding contact. [3] (b)(i) 1 mark for \(V = 1.5\text{ V}\). 1 mark for \(I = 0.40\text{ A}\). [2] (b)(ii) 1 mark for calculating \(R = 3.75\) (allow ecf from b(i)). 1 mark for stating the correct unit, \(\Omega\) or ohms. [2] (c)(i) 1 mark for stating that resistance increases as length increases / resistance is directly proportional to length. [1] (c)(ii) 1 mark for explaining that keeping the switch open prevents the wire from heating up (which would change its resistance). [1] (c)(iii) 1 mark for explaining that it limits the current / prevents overheating / allows adjustment of current. [1]
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