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Thinka Nov 2024 (V2) Cambridge International A Level-Style Mock — Science - Combined (0653)

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An original Thinka practice paper modelled on the structure and difficulty of the Nov 2024 (V2) Cambridge International A Level Science - Combined (0653) paper. Not affiliated with or reproduced from Cambridge.

Paper 22

Answer all forty multiple choice questions. For each question, choose the correct option from A, B, C or D.
40 PastPaper.question · 40 PastPaper.marks
PastPaper.question 1 · MCQ
1 PastPaper.marks
A car of mass \( 1200\text{ kg} \) accelerates uniformly from rest to a speed of \( 20\text{ m/s} \) in \( 8.0\text{ s} \). What is the average useful power developed by the engine to achieve this increase in kinetic energy?
  1. A.\( 15\text{ kW} \)
  2. B.\( 30\text{ kW} \)
  3. C.\( 60\text{ kW} \)
  4. D.\( 240\text{ kW} \)
PastPaper.showAnswers

PastPaper.workedSolution

First, calculate the change in kinetic energy:
\( \Delta E_k = \frac{1}{2} m v^2 = \frac{1}{2} \times 1200\text{ kg} \times (20\text{ m/s})^2 = 600 \times 400 = 240,000\text{ J} = 240\text{ kJ} \).

Next, calculate the average useful power developed over the time of \( 8.0\text{ s} \):
\( P = \frac{\Delta E_k}{t} = \frac{240,000\text{ J}}{8.0\text{ s}} = 30,000\text{ W} = 30\text{ kW} \).

PastPaper.markingScheme

Award 1 mark for the correct option B. (Method: calculate kinetic energy \( 240\text{ kJ} \) and divide by time \( 8.0\text{ s} \) to get \( 30\text{ kW} \)).
PastPaper.question 2 · MCQ
1 PastPaper.marks
An atom of an element \( \text{X} \) has nucleon number 37 and proton number 17. Which statement about the ion \( \text{X}^- \) is correct?
  1. A.It has 17 protons, 20 neutrons and 17 electrons.
  2. B.It has 17 protons, 20 neutrons and 18 electrons.
  3. C.It has 17 protons, 37 neutrons and 18 electrons.
  4. D.It has 18 protons, 20 neutrons and 18 electrons.
PastPaper.showAnswers

PastPaper.workedSolution

The proton number of element \( \text{X} \) is 17, which means it has 17 protons. The nucleon number is 37, so the number of neutrons is \( 37 - 17 = 20 \). Since the ion has a single negative charge \( \text{X}^- \), it must have one extra electron than its proton number, giving it \( 17 + 1 = 18 \) electrons. Thus, the correct option is B.

PastPaper.markingScheme

Award 1 mark for the correct option B.
PastPaper.question 3 · MCQ
1 PastPaper.marks
Which statement correctly describes the energy conversion that occurs during photosynthesis, and the role played by chlorophyll?
  1. A.Energy conversion: chemical to light; role of chlorophyll: absorbs light
  2. B.Energy conversion: light to chemical; role of chlorophyll: absorbs carbon dioxide
  3. C.Energy conversion: light to chemical; role of chlorophyll: absorbs light
  4. D.Energy conversion: chemical to light; role of chlorophyll: absorbs oxygen
PastPaper.showAnswers

PastPaper.workedSolution

During photosynthesis, light energy is absorbed by chlorophyll in the chloroplasts and converted into chemical energy stored within glucose. Therefore, the energy conversion is light to chemical, and chlorophyll's role is to absorb light.

PastPaper.markingScheme

Award 1 mark for the correct option C.
PastPaper.question 4 · MCQ
1 PastPaper.marks
Which statement correctly describes the effect of temperature on enzyme-catalyzed reactions?
  1. A.As temperature increases from \( 0^\circ\text{C} \) to \( 37^\circ\text{C} \), the kinetic energy of the molecules decreases, reducing the rate of reaction.
  2. B.At temperatures above the optimum, the active site of the enzyme changes shape, preventing the substrate from binding.
  3. C.Denaturation of an enzyme at high temperatures is a reversible process when the mixture is cooled down.
  4. D.At \( 0^\circ\text{C} \), enzymes are completely denatured and cannot function even if the mixture is subsequently warmed.
PastPaper.showAnswers

PastPaper.workedSolution

At temperatures above the optimum, the high kinetic energy causes the atoms in the enzyme to vibrate excessively, breaking the weak chemical bonds that maintain the active site's shape. This permanent change in shape (denaturation) prevents the substrate from binding, stopping the reaction. Thus, option B is correct.

PastPaper.markingScheme

Award 1 mark for the correct option B.
PastPaper.question 5 · MCQ
1 PastPaper.marks
A sample of food is tested for the presence of biological molecules. When a portion of the food is boiled with Benedict's solution, the mixture remains blue. When another portion of the food is treated with Biuret reagent, the mixture turns purple. Which statement about the food sample is correct?
  1. A.Reducing sugar is present; protein is present.
  2. B.Reducing sugar is present; protein is absent.
  3. C.Reducing sugar is absent; protein is present.
  4. D.Reducing sugar is absent; protein is absent.
PastPaper.showAnswers

PastPaper.workedSolution

A negative result for Benedict's test (remains blue) indicates that reducing sugar is absent. A positive result for the Biuret test (turns purple) indicates that protein is present. Therefore, option C is correct.

PastPaper.markingScheme

Award 1 mark for the correct option C.
PastPaper.question 6 · MCQ
1 PastPaper.marks
A radio station broadcasts electromagnetic waves with a frequency of \( 1.0 \times 10^8\text{ Hz} \). The speed of electromagnetic waves in air is \( 3.0 \times 10^8\text{ m/s} \). What is the wavelength of these radio waves?
  1. A.0.33 m
  2. B.3.0 m
  3. C.30 m
  4. D.\( 3.0 \times 10^{16}\text{ m} \)
PastPaper.showAnswers

PastPaper.workedSolution

Using the wave equation: \( v = f\lambda \), we can rearrange it to find the wavelength: \( \lambda = \frac{v}{f} \). Substituting the given values: \( \lambda = \frac{3.0 \times 10^8\text{ m/s}}{1.0 \times 10^8\text{ Hz}} = 3.0\text{ m} \). Thus, option B is correct.

PastPaper.markingScheme

Award 1 mark for the correct option B.
PastPaper.question 7 · MCQ
1 PastPaper.marks
Molten lead(II) bromide is electrolyzed using inert carbon electrodes. Which row correctly identifies the products formed and the observations made at the electrodes?
  1. A.At anode: grey liquid formed; At cathode: red-brown gas formed
  2. B.At anode: red-brown gas formed; At cathode: grey liquid formed
  3. C.At anode: brown liquid formed; At cathode: bubbles of colorless gas
  4. D.At anode: bubbles of colorless gas; At cathode: red-brown gas formed
PastPaper.showAnswers

PastPaper.workedSolution

During the electrolysis of molten lead(II) bromide, negative bromide ions (\( \text{Br}^- \)) move to the positive electrode (anode) where they lose electrons to form bromine gas (observed as a red-brown gas). Positive lead(II) ions (\( \text{Pb}^{2+} \)) move to the negative electrode (cathode) where they gain electrons to form lead metal (observed as a grey liquid since lead is molten at this temperature). Hence, option B is correct.

PastPaper.markingScheme

Award 1 mark for the correct option B.
PastPaper.question 8 · MCQ
1 PastPaper.marks
A metal wire of length \( L \) and uniform cross-sectional area \( A \) has a resistance of \( 16\ \Omega \). A second wire made of the exact same metal has a length of \( 2L \) and a cross-sectional area of \( 0.5A \). What is the resistance of the second wire?
  1. A.4.0 \( \Omega \)
  2. B.16 \( \Omega \)
  3. C.32 \( \Omega \)
  4. D.64 \( \Omega \)
PastPaper.showAnswers

PastPaper.workedSolution

Resistance is directly proportional to length and inversely proportional to cross-sectional area: \( R = \rho \frac{L}{A} \). For the second wire: \( R_{\text{new}} = \rho \frac{2L}{0.5A} = 4 \left(\rho \frac{L}{A}\right) = 4 \times R \). Since \( R = 16\ \Omega \), the new resistance is \( 4 \times 16\ \Omega = 64\ \Omega \). Thus, option D is correct.

PastPaper.markingScheme

Award 1 mark for the correct option D.
PastPaper.question 9 · multiple-choice
1 PastPaper.marks
An experiment was carried out to investigate the effect of temperature on the rate of an enzyme-controlled reaction. The rate of reaction at \(20\ ^\circ\text{C}\) was found to be \(2.0\text{ units}\). At \(30\ ^\circ\text{C}\), it was \(4.0\text{ units}\). At \(60\ ^\circ\text{C}\), the rate of reaction was \(0\text{ units}\). Which statement best explains the result at \(60\ ^\circ\text{C}\)?
  1. A.The kinetic energy of the substrate molecules is too low.
  2. B.The enzyme molecules have denatured, changing the shape of their active sites.
  3. C.The activation energy of the reaction has increased.
  4. D.The substrate molecules have been completely consumed ; ;
PastPaper.showAnswers

PastPaper.workedSolution

At high temperatures such as \(60\ ^\circ\text{C}\), enzymes (which are proteins) denature. This means their three-dimensional structure is permanently altered, specifically changing the shape of the active site so that the substrate can no longer fit. This reduces the rate of reaction to zero.

PastPaper.markingScheme

1 mark: B is the correct explanation of enzyme denaturation at high temperatures. Other options are incorrect because kinetic energy is higher at higher temperatures (A), enzymes do not change the activation energy of the reaction itself (C), and there is no evidence that the substrate was fully consumed (D).
PastPaper.question 10 · multiple-choice
1 PastPaper.marks
Molten lead(II) bromide is electrolyzed using inert carbon electrodes. Which row correctly identifies the products formed at each electrode?
  1. A.Positive electrode: bromine; Negative electrode: lead
  2. B.Positive electrode: bromine; Negative electrode: hydrogen
  3. C.Positive electrode: lead; Negative electrode: bromine
  4. D.Positive electrode: lead; Negative electrode: hydrogen
PastPaper.showAnswers

PastPaper.workedSolution

In molten lead(II) bromide (\(\text{PbBr}_2\)), the only ions present are \(\text{Pb}^{2+}\) and \(\text{Br}^-\). Negative bromide ions (\(\text{Br}^-\)) migrate to the positive electrode (anode), where they lose electrons (oxidation) to form bromine gas (\(\text{Br}_2\)). Positive lead ions (\(\text{Pb}^{2+}\)) migrate to the negative electrode (cathode), where they gain electrons (reduction) to form lead metal (\(\text{Pb}\)). Therefore, bromine is formed at the positive electrode, and lead is formed at the negative electrode.

PastPaper.markingScheme

1 mark: Correctly identifying the products at both electrodes (A).
PastPaper.question 11 · multiple-choice
1 PastPaper.marks
A wave in a pool has a wavelength of \(1.5\text{ m}\) and a frequency of \(2.0\text{ Hz}\). What is the speed of the wave, and how long does it take for a single wave crest to travel a distance of \(6.0\text{ m}\)?
  1. A.Speed = \(0.75\text{ m/s}\); Time = \(8.0\text{ s}\)
  2. B.Speed = \(3.0\text{ m/s}\); Time = \(2.0\text{ s}\)
  3. C.Speed = \(3.0\text{ m/s}\); Time = \(4.5\text{ s}\)
  4. D.Speed = \(0.75\text{ m/s}\); Time = \(4.5\text{ s}\)
PastPaper.showAnswers

PastPaper.workedSolution

1. Use the wave equation to find speed: \(v = f \lambda = 2.0\text{ Hz} \times 1.5\text{ m} = 3.0\text{ m/s}\). 2. Use the speed formula to find time: \(\text{time} = \frac{\text{distance}}{\text{speed}} = \frac{6.0\text{ m}}{3.0\text{ m/s}} = 2.0\text{ s}\). Thus, the speed is \(3.0\text{ m/s}\) and the time is \(2.0\text{ s}\).

PastPaper.markingScheme

1 mark: Correct calculation of wave speed and time (B).
PastPaper.question 12 · multiple-choice
1 PastPaper.marks
A student is testing a sample of milk to identify the biological molecules present. They perform two separate tests: Test 1: They add biuret solution to a sample of milk. Test 2: They add iodine solution to another sample of milk. What are the expected color observations if the milk contains proteins but does not contain starch?
  1. A.Test 1: blue; Test 2: blue-black
  2. B.Test 1: purple; Test 2: blue-black
  3. C.Test 1: purple; Test 2: brown-orange
  4. D.Test 1: blue; Test 2: brown-orange
PastPaper.showAnswers

PastPaper.workedSolution

Protein is tested using the biuret reagent. A positive result changes the color from blue to purple. Since milk contains proteins, the result of Test 1 will be purple. Starch is tested using iodine solution. A negative result remains brown-orange (or yellow-brown). Since starch is not present, the iodine in Test 2 will remain brown-orange.

PastPaper.markingScheme

1 mark: Correctly identifying purple for protein and brown-orange for no starch (C).
PastPaper.question 13 · multiple-choice
1 PastPaper.marks
A small electric motor is used to lift a weight of \(20\text{ N}\) vertically through a height of \(3.0\text{ m}\) in a time of \(5.0\text{ s}\). What is the useful power output of the motor?
  1. A.\(12\text{ W}\)
  2. B.\(30\text{ W}\)
  3. C.\(60\text{ W}\)
  4. D.\(300\text{ W}\)
PastPaper.showAnswers

PastPaper.workedSolution

1. Work done (or potential energy gained) is calculated as: \(\text{Work done} = \text{Force} \times \text{distance} = 20\text{ N} \times 3.0\text{ m} = 60\text{ J}\). 2. Power is the rate of doing work: \(\text{Power} = \frac{\text{Work done}}{\text{time}} = \frac{60\text{ J}}{5.0\text{ s}} = 12\text{ W}\). Therefore, the useful power output of the motor is \(12\text{ W}\).

PastPaper.markingScheme

1 mark: Correct calculation of work done and power (A).
PastPaper.question 14 · multiple-choice
1 PastPaper.marks
A student prepares a pure sample of hydrated copper(II) sulfate crystals. They add excess copper(II) oxide to warm dilute sulfuric acid. Which sequence of experimental steps should be used to obtain pure, dry crystals from the mixture?
  1. A.filter the mixture \(\rightarrow\) evaporate all the water from the filtrate \(\rightarrow\) dry the solid
  2. B.filter the mixture \(\rightarrow\) heat the filtrate to the crystallizing point \(\rightarrow\) leave to cool \(\rightarrow\) filter and dry the crystals
  3. C.evaporate all the water from the mixture \(\rightarrow\) filter the solid \(\rightarrow\) wash with water \(\rightarrow\) dry
  4. D.heat the mixture to the crystallizing point \(\rightarrow\) leave to cool \(\rightarrow\) filter the crystals \(\rightarrow\) dry
PastPaper.showAnswers

PastPaper.workedSolution

To obtain pure crystals of a soluble salt from an acid and an insoluble base: 1. Excess insoluble base (copper(II) oxide) is filtered off to leave a pure solution of copper(II) sulfate (the filtrate). 2. The filtrate is heated to evaporate some water until the crystallization point is reached. 3. The solution is allowed to cool slowly to form large, pure crystals. 4. The crystals are filtered to separate them from the remaining solution, and then dried (e.g., by pressing between filter papers).

PastPaper.markingScheme

1 mark: Correct sequence for crystallization (B).
PastPaper.question 15 · multiple-choice
1 PastPaper.marks
Two resistors of resistance \(4.0\ \Omega\) and \(12.0\ \Omega\) are connected in parallel with each other. This combination is then connected in series with a third resistor of resistance \(3.0\ \Omega\). What is the total resistance of this arrangement?
  1. A.\(3.0\ \Omega\)
  2. B.\(6.0\ \Omega\)
  3. C.\(16.0\ \Omega\)
  4. D.\(19.0\ \Omega\)
PastPaper.showAnswers

PastPaper.workedSolution

1. First, find the combined resistance of the two resistors in parallel: \(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{4.0} + \frac{1}{12.0} = \frac{3 + 1}{12.0} = \frac{4}{12.0} = \frac{1}{3.0}\), which gives \(R_p = 3.0\ \Omega\). 2. Then, add the resistance of the third resistor connected in series: \(R_{\text{total}} = R_p + R_3 = 3.0\ \Omega + 3.0\ \Omega = 6.0\ \Omega\). Therefore, the total resistance of the arrangement is \(6.0\ \Omega\).

PastPaper.markingScheme

1 mark: Correct calculation of parallel and series resistance (B).
PastPaper.question 16 · multiple-choice
1 PastPaper.marks
A student investigates the rate of photosynthesis of an aquatic plant at different light intensities by measuring the volume of oxygen gas produced per minute. The graph of the results shows that as light intensity increases, the rate of photosynthesis increases up to a certain point, after which the rate remains constant. Which statement explains why the rate remains constant at very high light intensities?
  1. A.Light intensity has become the limiting factor.
  2. B.Chlorophyll in the plant leaves has been completely used up in the reaction.
  3. C.Another factor, such as temperature or carbon dioxide concentration, has become limiting.
  4. D.The plant has stopped photosynthesizing because of too much light.
PastPaper.showAnswers

PastPaper.workedSolution

When light intensity is increased but the rate of photosynthesis no longer increases (the curve levels off), light intensity is no longer the limiting factor. Instead, another factor such as carbon dioxide concentration or temperature is in short supply and is now limiting the rate. Chlorophyll is a pigment and is not 'used up' (B). The plant does not stop photosynthesizing, as oxygen is still being produced at a constant rate (D).

PastPaper.markingScheme

1 mark: Correctly identifying that another factor has become limiting (C).
PastPaper.question 17 · multiple-choice
1 PastPaper.marks
An experiment is carried out to investigate the effect of temperature on the rate of an amylase-controlled reaction. Above the optimum temperature of 40 °C, the rate of reaction rapidly decreases. Which statement correctly explains why the rate of reaction decreases above the optimum temperature?
  1. A.The substrate molecules lose kinetic energy, resulting in fewer successful collisions.
  2. B.The amylase molecules denature, changing the shape of the active site so that the substrate no longer fits.
  3. C.The activation energy of the reaction increases, preventing the substrate from reacting.
  4. D.The pH of the solution becomes too acidic, which permanently inactivates the amylase.
PastPaper.showAnswers

PastPaper.workedSolution

Above the optimum temperature, the increased kinetic energy causes the weak bonds holding the enzyme's three-dimensional structure together to break. This denatures the enzyme, altering the shape of its active site. Consequently, the substrate can no longer bind to the active site, and the rate of reaction decreases rapidly.

PastPaper.markingScheme

Award 1 mark for identifying that denaturation changes the shape of the active site, preventing substrate binding.
PastPaper.question 18 · multiple-choice
1 PastPaper.marks
A student tests a sample of liquid food for the presence of reducing sugars and proteins. Which row correctly describes the tests used and their positive results?
  1. A.Reducing sugar test: Add Benedict's reagent and heat; Positive result: Purple color. Protein test: Add Biuret reagent; Positive result: Brick-red precipitate.
  2. B.Reducing sugar test: Add iodine solution; Positive result: Blue-black color. Protein test: Add ethanol and pour into water; Positive result: Milky-white emulsion.
  3. C.Reducing sugar test: Add Benedict's reagent and heat; Positive result: Brick-red precipitate. Protein test: Add Biuret reagent; Positive result: Purple color.
  4. D.Reducing sugar test: Add ethanol and pour into water; Positive result: Milky-white emulsion. Protein test: Add iodine solution; Positive result: Blue-black color.
PastPaper.showAnswers

PastPaper.workedSolution

To test for reducing sugars, Benedict's reagent is added and the mixture is heated in a hot water bath; a positive result is a brick-red (or orange/yellow/green) precipitate. To test for proteins, the Biuret test is used, which yields a purple (violet) color if proteins are present.

PastPaper.markingScheme

Award 1 mark for the correct combination of reagents and positive results for both tests (Benedict's with heating yielding brick-red, and Biuret yielding purple).
PastPaper.question 19 · multiple-choice
1 PastPaper.marks
Which statement about electromagnetic waves is correct?
  1. A.Infrared waves have a shorter wavelength than ultraviolet waves.
  2. B.Gamma rays travel faster through a vacuum than radio waves.
  3. C.All electromagnetic waves are transverse waves.
  4. D.Microwaves have a lower frequency than X-rays.
PastPaper.showAnswers

PastPaper.workedSolution

All electromagnetic waves are transverse waves. Option A is incorrect because infrared waves have longer wavelengths than ultraviolet waves. Option B is incorrect because all electromagnetic waves travel at the same speed in a vacuum (\(3 \times 10^8\text{ m/s}\)). Option D is incorrect because microwaves have a much lower frequency than X-rays.

PastPaper.markingScheme

Award 1 mark for identifying that all electromagnetic waves are transverse waves.
PastPaper.question 20 · multiple-choice
1 PastPaper.marks
During the electrolysis of molten lead(II) bromide using inert carbon electrodes, what products are formed at the cathode (negative electrode) and at the anode (positive electrode)?
  1. A.Cathode: bromine gas; Anode: lead metal
  2. B.Cathode: lead metal; Anode: bromine gas
  3. C.Cathode: hydrogen gas; Anode: oxygen gas
  4. D.Cathode: lead metal; Anode: oxygen gas
PastPaper.showAnswers

PastPaper.workedSolution

During the electrolysis of molten lead(II) bromide (\(\text{PbBr}_2\)), the positive lead ions (\(\text{Pb}^{2+}\)) are attracted to the negative cathode, where they gain electrons to form lead metal. The negative bromide ions (\(\text{Br}^-\)) are attracted to the positive anode, where they lose electrons to form bromine gas.

PastPaper.markingScheme

Award 1 mark for identifying lead metal at the cathode and bromine gas at the anode.
PastPaper.question 21 · multiple-choice
1 PastPaper.marks
A total charge of \(120\text{ C}\) passes through a resistor in a time of \(2.0\text{ minutes}\). The potential difference across the resistor is \(6.0\text{ V}\). What is the current in the resistor and what is its resistance?
  1. A.Current = \(1.0\text{ A}\); Resistance = \(6.0\ \Omega\)
  2. B.Current = \(60\text{ A}\); Resistance = \(0.10\ \Omega\)
  3. C.Current = \(1.0\text{ A}\); Resistance = \(0.17\ \Omega\)
  4. D.Current = \(60\text{ A}\); Resistance = \(6.0\ \Omega\)
PastPaper.showAnswers

PastPaper.workedSolution

First, convert time from minutes to seconds: \(t = 2.0\text{ minutes} = 2.0 \times 60 = 120\text{ s}\).
Next, calculate the current: \(I = \frac{Q}{t} = \frac{120\text{ C}}{120\text{ s}} = 1.0\text{ A}\).
Finally, calculate the resistance using Ohm's law: \(R = \frac{V}{I} = \frac{6.0\text{ V}}{1.0\text{ A}} = 6.0\ \Omega\).

PastPaper.markingScheme

Award 1 mark for calculating the current as \(1.0\text{ A}\) and the resistance as \(6.0\ \Omega\).
PastPaper.question 22 · multiple-choice
1 PastPaper.marks
Oxides can be classified as acidic, basic, amphoteric, or neutral. Which row correctly classifies calcium oxide and phosphorus oxide?
  1. A.Calcium oxide: Basic; Phosphorus oxide: Acidic
  2. B.Calcium oxide: Acidic; Phosphorus oxide: Basic
  3. C.Calcium oxide: Neutral; Phosphorus oxide: Basic
  4. D.Calcium oxide: Basic; Phosphorus oxide: Neutral
PastPaper.showAnswers

PastPaper.workedSolution

Calcium is a metal, and metal oxides are generally basic. Phosphorus is a non-metal, and non-metal oxides are generally acidic. Therefore, calcium oxide is a basic oxide and phosphorus oxide is an acidic oxide.

PastPaper.markingScheme

Award 1 mark for correctly identifying calcium oxide as basic and phosphorus oxide as acidic.
PastPaper.question 23 · multiple-choice
1 PastPaper.marks
An atom of an isotope of potassium is represented as \({}_{19}^{39}\text{K}\). Which statement about this atom and an atom of another isotope of potassium, \({}_{19}^{41}\text{K}\), is correct?
  1. A.An atom of \({}_{19}^{41}\text{K}\) has more protons than an atom of \({}_{19}^{39}\text{K}\).
  2. B.Both isotopes have the same number of neutrons in their nuclei.
  3. C.Both isotopes have the same chemical properties because they have the same number of electrons in their outer shell.
  4. D.An atom of \({}_{19}^{39}\text{K}\) has 19 neutrons and 20 protons.
PastPaper.showAnswers

PastPaper.workedSolution

Isotopes of the same element have the same proton number (atomic number) and hence the same number of electrons and electronic configuration. Since chemical properties are determined by the number of outer-shell electrons, both isotopes have identical chemical properties. Option A is incorrect because both have 19 protons. Option B is incorrect because \({}_{19}^{39}\text{K}\) has 20 neutrons while \({}_{19}^{41}\text{K}\) has 22 neutrons. Option D is incorrect because potassium-39 has 19 protons and 20 neutrons.

PastPaper.markingScheme

Award 1 mark for the correct explanation that chemical properties are identical due to the same outer-shell electron configuration.
PastPaper.question 24 · multiple-choice
1 PastPaper.marks
Which layer of cells in a dicotyledonous leaf has the highest density of chloroplasts to maximize the rate of photosynthesis?
  1. A.Upper epidermis
  2. B.Palisade mesophyll
  3. C.Spongy mesophyll
  4. D.Lower epidermis
PastPaper.showAnswers

PastPaper.workedSolution

The palisade mesophyll layer consists of column-shaped cells packed closely together near the upper surface of the leaf. These cells contain the highest concentration of chloroplasts to absorb maximum sunlight for photosynthesis. The epidermis layers have very few or no chloroplasts (except guard cells), and the spongy mesophyll has fewer chloroplasts and more air spaces.

PastPaper.markingScheme

Award 1 mark for identifying the palisade mesophyll as the layer with the highest density of chloroplasts.
PastPaper.question 25 · multiple choice
1 PastPaper.marks
An experiment is carried out to investigate how pH affects the activity of a protease enzyme found in the human stomach. Which statement describes the expected results?
  1. A.The enzyme is most active at pH 2 and becomes denatured at pH 8.
  2. B.The enzyme is most active at pH 7 and becomes denatured at pH 2.
  3. C.The enzyme is most active at pH 8 and becomes denatured at pH 2.
  4. D.The enzyme activity increases steadily from pH 1 to pH 12.
PastPaper.showAnswers

PastPaper.workedSolution

The protease enzyme in the human stomach is pepsin, which has an optimum pH of approximately 1.5 to 2.0 (highly acidic). At this pH, the rate of reaction is at its highest. When the pH is increased to neutral or alkaline values, such as pH 8, the active site of the enzyme is denatured, and it can no longer bind to its substrate.

PastPaper.markingScheme

1 mark: Correctly identifies that the stomach protease is highly active in acidic conditions (pH 2) and becomes denatured in alkaline conditions (pH 8).
PastPaper.question 26 · multiple choice
1 PastPaper.marks
An ion of element X has 13 protons, 14 neutrons and 10 electrons. Which statement about element X and its ion is correct?
  1. A.Element X is in Group III of the Periodic Table and the ion has a charge of \(3+\).
  2. B.Element X is in Group IV of the Periodic Table and the ion has a charge of \(3-\).
  3. C.Element X is in Group III of the Periodic Table and the ion has a charge of \(3-\).
  4. D.Element X is in Group IV of the Periodic Table and the ion has a charge of \(3+\).
PastPaper.showAnswers

PastPaper.workedSolution

The proton number of element X is 13, which corresponds to aluminium. Its neutral atom electronic configuration is 2,8,3, meaning it has 3 valency electrons and is in Group III of the Periodic Table. Since the ion has 10 electrons, it has lost 3 electrons from its neutral state, resulting in a charge of \(3+\).

PastPaper.markingScheme

1 mark: Correctly identifies Group III (from proton number 13) and a charge of \(3+\) (from the loss of 3 electrons).
PastPaper.question 27 · multiple choice
1 PastPaper.marks
Molten lead(II) bromide is electrolysed using inert carbon electrodes. Which statement about this electrolysis is correct?
  1. A.Bromine molecules are formed at the negative electrode (cathode).
  2. B.Lead atoms are formed at the positive electrode (anode).
  3. C.Brown fumes are observed at the positive electrode (anode).
  4. D.The mass of the negative electrode decreases because lead is lost.
PastPaper.showAnswers

PastPaper.workedSolution

During the electrolysis of molten lead(II) bromide:
1. At the cathode (negative electrode), lead ions (\(\text{Pb}^{2+}\)) gain electrons to form grey lead metal: \(\text{Pb}^{2+} + 2\text{e}^- \rightarrow \text{Pb}\).
2. At the anode (positive electrode), bromide ions (\(\text{Br}^-\)) lose electrons to form bromine molecules: \(2\text{Br}^- \rightarrow \text{Br}_2 + 2\text{e}^-\). Bromine gas is observed as brown fumes at the positive anode.

PastPaper.markingScheme

1 mark: Correctly identifies that brown bromine gas (fumes) is produced at the positive electrode (anode).
PastPaper.question 28 · multiple choice
1 PastPaper.marks
A block of mass 2.5 kg is pulled along a horizontal friction-free surface by a constant horizontal force of 12 N. A frictional force of 4 N acts in the opposite direction to the motion. What is the acceleration of the block?
  1. A.\(1.6\text{ m/s}^2\)
  2. B.\(3.2\text{ m/s}^2\)
  3. C.\(4.8\text{ m/s}^2\)
  4. D.\(6.4\text{ m/s}^2\)
PastPaper.showAnswers

PastPaper.workedSolution

First, calculate the resultant force (\(F_{\text{net}}\)) acting on the block:
\(F_{\text{net}} = F_{\text{pull}} - F_{\text{friction}} = 12\text{ N} - 4\text{ N} = 8\text{ N}\).
Next, use Newton's second law, \(F = ma\), to find the acceleration:
\(a = \frac{F_{\text{net}}}{m} = \frac{8\text{ N}}{2.5\text{ kg}} = 3.2\text{ m/s}^2\).

PastPaper.markingScheme

1 mark: Calculates resultant force of 8 N and applies \(a = F/m\) to obtain \(3.2\text{ m/s}^2\).
PastPaper.question 29 · multiple choice
1 PastPaper.marks
Which row correctly describes the nature of sound waves and the comparison of their speed in water and air?
  1. A.Nature: Longitudinal; Speed in water is greater than speed in air.
  2. B.Nature: Longitudinal; Speed in air is greater than speed in water.
  3. C.Nature: Transverse; Speed in water is greater than speed in air.
  4. D.Nature: Transverse; Speed in air is greater than speed in water.
PastPaper.showAnswers

PastPaper.workedSolution

Sound waves are longitudinal waves, which travel by the vibration of particles in the direction of wave travel. Sound waves travel faster in liquids (such as water) than in gases (such as air) because the particles in water are closer together, allowing the compression and rarefaction to propagate more rapidly.

PastPaper.markingScheme

1 mark: Correctly identifies sound waves as longitudinal, and their speed as being greater in water than in air.
PastPaper.question 30 · multiple choice
1 PastPaper.marks
A student tests four different solutions, W, X, Y and Z, with universal indicator and with methyl orange. The results are shown in the table.

| Solution | Colour with universal indicator | Colour with methyl orange |
|---|---|---|
| W | Red | Red |
| X | Blue | Yellow |
| Y | Green | Yellow |
| Z | Orange | Red |

Which solution has the lowest pH?
  1. A.W
  2. B.X
  3. C.Y
  4. D.Z
PastPaper.showAnswers

PastPaper.workedSolution

Universal indicator turns red in strongly acidic conditions (pH 1-3). Methyl orange turns red in acidic conditions below pH 3.1. Therefore, solution W is the most strongly acidic and has the lowest pH. Solution Z (orange with universal indicator) is weakly acidic (pH 4-5). Solution Y is neutral (pH 7), and solution X is alkaline (pH 8-14).

PastPaper.markingScheme

1 mark: Correctly identifies solution W as having the lowest pH based on the indicators' colours.
PastPaper.question 31 · multiple choice
1 PastPaper.marks
A healthy potted plant with variegated leaves (leaves having green areas containing chlorophyll and white areas lacking chlorophyll) is destarched by keeping it in the dark for 48 hours. One of its leaves is then partially covered with a strip of black paper that blocks all light. The plant is then placed in bright sunlight for 6 hours. The leaf is removed, boiled in ethanol to remove chlorophyll, and tested for starch using iodine solution. Which region of the leaf will turn blue-black?
  1. A.The green region that was exposed to light.
  2. B.The green region that was covered with black paper.
  3. C.The white region that was exposed to light.
  4. D.The white region that was covered with black paper.
PastPaper.showAnswers

PastPaper.workedSolution

For photosynthesis to take place and produce starch, both light and chlorophyll must be present. The green region contains chlorophyll, and being exposed to light allows it to photosynthesise and produce starch, which turns blue-black with iodine. White regions lack chlorophyll, and covered regions lack light, preventing photosynthesis.

PastPaper.markingScheme

1 mark: Correctly identifies that only the green region exposed to light will have starch and thus turn blue-black.
PastPaper.question 32 · multiple choice
1 PastPaper.marks
A student connects three identical resistors, each of resistance \(R\), in a circuit. Two of the resistors are connected in parallel with each other, and this combination is connected in series with the third resistor. What is the total equivalent resistance of this circuit?
  1. A.\(\frac{1}{3}R\)
  2. B.\(\frac{2}{3}R\)
  3. C.\(\frac{3}{2}R\)
  4. D.\(3R\)
PastPaper.showAnswers

PastPaper.workedSolution

1. For the two resistors in parallel, the equivalent resistance \(R_p\) is calculated as:
\(\frac{1}{R_p} = \frac{1}{R} + \frac{1}{R} = \frac{2}{R} \Rightarrow R_p = \frac{R}{2} = 0.5R\).
2. Since the third resistor is in series with this parallel combination, the total resistance \(R_{\text{total}}\) is:
\(R_{\text{total}} = R_p + R = 0.5R + R = 1.5R = \frac{3}{2}R\).

PastPaper.markingScheme

1 mark: Shows correct derivation of parallel combination (\(0.5R\)) and adds series resistance (\(R\)) to get \(\frac{3}{2}R\).
PastPaper.question 33 · MCQ
1 PastPaper.marks
A toy car moves along a straight track. The speed-time graph of its motion shows that it accelerates uniformly from rest to a speed of \(4.0\text{ m/s}\) in \(2.0\text{ s}\), travels at this constant speed of \(4.0\text{ m/s}\) for \(3.0\text{ s}\), and then decelerates uniformly to a standstill in a further \(1.0\text{ s}\).

What is the total distance travelled by the toy car during these \(6.0\text{ s}\)?
  1. A.12 m
  2. B.16 m
  3. C.18 m
  4. D.24 m
PastPaper.showAnswers

PastPaper.workedSolution

The total distance travelled is equal to the area under the speed-time graph.

We can split the area under the graph into three parts:
1. Triangual acceleration phase (from \(0\) to \(2.0\text{ s}\)):
$$\text{Area}_1 = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2.0\text{ s} \times 4.0\text{ m/s} = 4.0\text{ m}$$

2. Rectangular constant-speed phase (from \(2.0\) to \(5.0\text{ s}\), duration of \(3.0\text{ s}\)):
$$\text{Area}_2 = \text{base} \times \text{height} = 3.0\text{ s} \times 4.0\text{ m/s} = 12.0\text{ m}$$

3. Triangular deceleration phase (from \(5.0\) to \(6.0\text{ s}\)):
$$\text{Area}_3 = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 1.0\text{ s} \times 4.0\text{ m/s} = 2.0\text{ m}$$

Adding these together:
$$\text{Total distance} = 4.0\text{ m} + 12.0\text{ m} + 2.0\text{ m} = 18.0\text{ m}$$

Alternatively, using the area of a trapezium:
$$\text{Area} = \frac{a + b}{2} \times h = \frac{3.0 + 6.0}{2} \times 4.0 = 4.5 \times 4.0 = 18.0\text{ m}$$

Therefore, the correct option is C.

PastPaper.markingScheme

- Award 1 mark for the correct calculation showing total distance is 18 m (Option C).
- Reject all other options.
PastPaper.question 34 · MCQ
1 PastPaper.marks
A student performs a paper chromatography experiment to analyse a green food dye.

The solvent front travels a distance of \(8.0\text{ cm}\) from the baseline. The dye separates into two spots: a blue spot that travels \(6.0\text{ cm}\) from the baseline, and a yellow spot that travels \(4.0\text{ cm}\) from the baseline.

What are the retention factor (\(R_f\)) values for the blue and yellow dyes?
  1. A.blue = 0.75, yellow = 0.50
  2. B.blue = 1.33, yellow = 2.00
  3. C.blue = 0.50, yellow = 0.75
  4. D.blue = 0.60, yellow = 0.40
PastPaper.showAnswers

PastPaper.workedSolution

The retention factor (\(R_f\)) is calculated using the formula:
$$R_f = \frac{\text{distance travelled by the substance}}{\text{distance travelled by the solvent front}}$$

For the blue dye:
$$R_f = \frac{6.0\text{ cm}}{8.0\text{ cm}} = 0.75$$

For the yellow dye:
$$R_f = \frac{4.0\text{ cm}}{8.0\text{ cm}} = 0.50$$

Therefore, the correct option is A.

PastPaper.markingScheme

- Award 1 mark for identifying the correct Rf values: blue = 0.75 and yellow = 0.50 (Option A).
- Reject all other combinations.
PastPaper.question 35 · MCQ
1 PastPaper.marks
A ray of monochromatic light passes from air into a glass block.

Which row correctly describes how the speed, frequency, and wavelength of the light change as it enters the glass block?
  1. A.Speed: decreases, Frequency: remains constant, Wavelength: decreases
  2. B.Speed: decreases, Frequency: decreases, Wavelength: remains constant
  3. C.Speed: increases, Frequency: remains constant, Wavelength: increases
  4. D.Speed: remains constant, Frequency: increases, Wavelength: decreases
PastPaper.showAnswers

PastPaper.workedSolution

When light passes from a less optically dense medium (air) to a more optically dense medium (glass):
1. Its speed decreases because glass has a higher refractive index than air.
2. Its frequency remains constant, as the frequency of a wave is determined solely by its source and does not change when transitioning between media.
3. Since wave speed is related to frequency and wavelength by the wave equation \(v = f \lambda\), a decrease in speed \(v\) with a constant frequency \(f\) results in a proportional decrease in wavelength \(\lambda\).

Therefore, speed decreases, frequency remains constant, and wavelength decreases. This corresponds to option A.

PastPaper.markingScheme

- Award 1 mark for the correct combination showing speed decreases, frequency is constant, and wavelength decreases (Option A).
PastPaper.question 36 · MCQ
1 PastPaper.marks
Concentrated aqueous sodium chloride is electrolysed using inert carbon electrodes.

Which products are formed at the anode (positive electrode) and at the cathode (negative electrode)?
  1. A.Anode: chlorine gas; Cathode: hydrogen gas
  2. B.Anode: oxygen gas; Cathode: sodium metal
  3. C.Anode: chlorine gas; Cathode: sodium metal
  4. D.Anode: oxygen gas; Cathode: hydrogen gas
PastPaper.showAnswers

PastPaper.workedSolution

During the electrolysis of concentrated aqueous sodium chloride:

- At the anode (positive electrode), both chloride ions (\(\text{Cl}^-\)) and hydroxide ions (\(\text{OH}^-\)) are attracted. Because the solution is concentrated, chloride ions are discharged in preference to hydroxide ions, producing chlorine gas (\(\text{Cl}_2\)).

- At the cathode (negative electrode), both sodium ions (\(\text{Na}^+\)) and hydrogen ions (\(\text{H}^+\)) are attracted. Because hydrogen is less reactive than sodium in the reactivity series, hydrogen ions are discharged in preference to sodium ions, producing hydrogen gas (\(\text{H}_2\)).

Therefore, the products are chlorine gas at the anode and hydrogen gas at the cathode, which corresponds to option A.

PastPaper.markingScheme

- Award 1 mark for identifying chlorine gas at the anode and hydrogen gas at the cathode (Option A).
PastPaper.question 37 · MCQ
1 PastPaper.marks
A circuit contains a ideal \(6.0\text{ V}\) battery connected across two resistors connected in parallel. The resistance of the first resistor is \(3.0\ \Omega\) and the resistance of the second resistor is \(6.0\ \Omega\).

What is the total current drawn from the battery?
  1. A.0.67 A
  2. B.2.0 A
  3. C.3.0 A
  4. D.9.0 A
PastPaper.showAnswers

PastPaper.workedSolution

First, calculate the total equivalent resistance (\(R_p\)) of the two parallel resistors:
$$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}$$
$$\frac{1}{R_p} = \frac{1}{3.0\ \Omega} + \frac{1}{6.0\ \Omega} = \frac{2.0 + 1.0}{6.0\ \Omega} = \frac{3.0}{6.0\ \Omega} = \frac{1}{2.0\ \Omega}$$
$$R_p = 2.0\ \Omega$$

Next, use Ohm's law to find the total current (\(I\)) drawn from the \(6.0\text{ V}\) battery:
$$I = \frac{V}{R_p} = \frac{6.0\text{ V}}{2.0\ \Omega} = 3.0\text{ A}$$

Alternatively, calculate the individual currents passing through each parallel branch and sum them:
- Current in the first branch: \(I_1 = \frac{V}{R_1} = \frac{6.0\text{ V}}{3.0\ \Omega} = 2.0\text{ A}\)
- Current in the second branch: \(I_2 = \frac{V}{R_2} = \frac{6.0\text{ V}}{6.0\ \Omega} = 1.0\text{ A}\)
- Total current: \(I = I_1 + I_2 = 2.0\text{ A} + 1.0\text{ A} = 3.0\text{ A}\)

Therefore, the correct option is C.

PastPaper.markingScheme

- Award 1 mark for the correct calculation showing total current is 3.0 A (Option C).
PastPaper.question 38 · MCQ
1 PastPaper.marks
Which method is most suitable for preparing a pure, dry sample of the insoluble salt, barium sulfate?
  1. A.Adding barium metal to dilute sulfuric acid, followed by filtration and drying.
  2. B.Mixing aqueous barium chloride with dilute sulfuric acid, followed by filtration, washing the residue with distilled water, and drying.
  3. C.Neutralising barium hydroxide with dilute sulfuric acid using a titration method, followed by crystallisation.
  4. D.Heating solid barium oxide with dilute sulfuric acid, followed by crystallisation.
PastPaper.showAnswers

PastPaper.workedSolution

Barium sulfate (\(\text{BaSO}_4\)) is an insoluble salt. The standard method to prepare an insoluble salt is by precipitation, which involves mixing two soluble reactants (typically a soluble salt and an acid, or two soluble salts).

- In option B, aqueous barium chloride (soluble) is mixed with dilute sulfuric acid (soluble). They react to form insoluble barium sulfate and hydrochloric acid:
$$\text{BaCl}_2\text{(aq)} + \text{H}_2\text{SO}_4\text{(aq)} \rightarrow \text{BaSO}_4\text{(s)} + 2\text{HCl(aq)}$$
- The mixture is then filtered to obtain the barium sulfate residue.
- The residue is washed with distilled water to rinse off any remaining soluble impurities and then dried to obtain a pure sample.

Option A is incorrect because barium metal reacts too violently with acid, and this is not a standard or safe preparation method.
Option C and D are incorrect because they are used for preparing soluble salts, and attempting to react a solid oxide (option D) would coat the oxide in insoluble barium sulfate, preventing the reaction from completing.

Hence, option B is the correct choice.

PastPaper.markingScheme

- Award 1 mark for choosing the precipitation method with washing and drying (Option B).
PastPaper.question 39 · MCQ
1 PastPaper.marks
A student carries out food tests on a liquid sample.

- They add Benedict's solution to a portion of the sample and heat it in a water bath; the mixture turns brick-red.
- They add biuret reagent to another portion of the sample; the mixture remains blue.

Which statement correctly describes the presence or absence of nutrients in this sample?
  1. A.Reducing sugar is present; protein is absent.
  2. B.Reducing sugar is absent; protein is present.
  3. C.Starch is present; reducing sugar is absent.
  4. D.Protein is present; starch is absent.
PastPaper.showAnswers

PastPaper.workedSolution

- Benedict's test is used to detect the presence of reducing sugars. When heated with Benedict's reagent, a colour change from blue to brick-red indicates a high concentration of reducing sugars. Therefore, reducing sugar is present.
- The biuret test is used to detect proteins. If protein is present, the mixture turns purple. Since the mixture remains blue, protein is absent.

Combining these results, reducing sugar is present and protein is absent. This corresponds to option A.

PastPaper.markingScheme

- Award 1 mark for identifying that reducing sugar is present and protein is absent (Option A).
PastPaper.question 40 · MCQ
1 PastPaper.marks
The rate of an enzyme-catalysed reaction increases as temperature increases from \(10\ ^\circ\text{C}\) to \(40\ ^\circ\text{C}\), but decreases rapidly to zero at temperatures above \(40\ ^\circ\text{C}\).

Which statement explains why the rate of reaction decreases rapidly above \(40\ ^\circ\text{C}\)?
  1. A.The kinetic energy of the substrate molecules decreases, so they collide less frequently with the enzyme.
  2. B.The enzyme molecules are denatured, changing the shape of their active sites so the substrate can no longer fit.
  3. C.The activation energy of the reaction increases at higher temperatures, stopping the reaction.
  4. D.The enzyme molecules are completely used up in the reaction at high temperatures.
PastPaper.showAnswers

PastPaper.workedSolution

Enzymes are proteins with a specific three-dimensional shape, including an active site that fits a specific substrate.

At high temperatures (above the optimum temperature of around \(40\ ^\circ\text{C}\)), the thermal energy is high enough to break the bonds holding the enzyme's three-dimensional shape together. This causes the enzyme to lose its shape, a process known as denaturation. Consequently, the shape of the active site changes, and the substrate can no longer bind to it. Therefore, the rate of reaction decreases rapidly.

- Option A is incorrect because kinetic energy increases with temperature.
- Option C is incorrect because temperature does not change the activation energy of the reaction in this manner.
- Option D is incorrect because enzymes act as catalysts and are not consumed during reactions.

Therefore, the correct option is B.

PastPaper.markingScheme

- Award 1 mark for explaining that denaturation changes the shape of the active site so the substrate can no longer fit (Option B).

Paper 42

Answer all structured questions in the spaces provided. Show all working for calculations.
9 PastPaper.question · 79.92 PastPaper.marks
PastPaper.question 1 · Structured
8.88 PastPaper.marks
A toy car of mass 1.5 kg starts from rest and accelerates uniformly to a speed of \(6.0\text{ m/s}\) in \(4.0\text{ s}\). It then travels at this constant speed of \(6.0\text{ m/s}\) for another \(8.0\text{ s}\).

(a) (i) Calculate the acceleration of the toy car during the first \(4.0\text{ s}\). State the unit. [3]
(ii) Calculate the total distance travelled by the toy car during the entire \(12.0\text{ s}\) journey. [3]

(b) Calculate the work done by the driving force of the car during the first \(4.0\text{ s}\) if the average driving force is \(3.5\text{ N}\). [2.88]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Acceleration is calculated using the formula: \(a = \frac{v - u}{t}\). Given \(u = 0\text{ m/s}\), \(v = 6.0\text{ m/s}\), and \(t = 4.0\text{ s}\):
\(a = \frac{6.0 - 0}{4.0} = 1.5\text{ m/s}^2\).

(a)(ii) The total distance is the area under the speed-time graph. During the first \(4.0\text{ s}\), the distance is represented by a triangle:
\(d_1 = \frac{1}{2} \times \text{base} \times \text{height} = 0.5 \times 4.0 \times 6.0 = 12\text{ m}\).
During the next \(8.0\text{ s}\) (from \(4.0\text{ s}\) to \(12.0\text{ s}\)), the distance is represented by a rectangle:
\(d_2 = \text{base} \times \text{height} = 8.0 \times 6.0 = 48\text{ m}\).
Total distance = \(12 + 48 = 60\text{ m}\).

(b) Work done is calculated using: \(\text{Work Done} = \text{Force} \times \text{distance}\). The distance travelled during the first \(4.0\text{ s}\) is \(12\text{ m}\). Thus,
\(\text{Work Done} = 3.5\text{ N} \times 12\text{ m} = 42\text{ J}\).

PastPaper.markingScheme

(a)(i) 1 mark for correct formula or working: \(6.0 / 4.0\)
1 mark for correct numerical value: 1.5
1 mark for correct unit: \(\text{m/s}^2\) (accept \(\text{m s}^{-2}\))

(a)(ii) 1 mark for calculating first part distance (12 m)
1 mark for calculating second part distance (48 m)
1 mark for correct total sum: 60 m

(b) 1 mark for work formula: \(W = F \times d\)
1 mark for substituting the correct distance from the first part (12 m)
0.88 marks for correct calculated work done: 42 J
PastPaper.question 2 · Structured
8.88 PastPaper.marks
A student performs paper chromatography on a sample of black food colouring, dye X, alongside three pure reference food dyes (A, B, and C).

(a) (i) Explain why the start line on the chromatography paper must be drawn in pencil rather than ink. [2]
(ii) In the chromatogram, dye X separates into two spots. One spot travels \(4.2\text{ cm}\) from the pencil line while the solvent front travels \(7.5\text{ cm}\). Calculate the \(R_f\) value of this spot. [2]

(b) The student also tests an unknown salt solution Y.
(i) When Y is tested with aqueous sodium hydroxide, a green precipitate is formed which is insoluble in excess. Identify the transition metal ion present in Y. [1.88]
(ii) When dilute nitric acid followed by aqueous barium nitrate is added to Y, a white precipitate is formed. Identify the anion present in Y and state the name of the white precipitate formed. [3]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Pencil consists of graphite (carbon) which is insoluble in the chromatography solvents used. Ink is soluble and would dissolve and separate, interfering with the chromatogram.

(a)(ii) The \(R_f\) value is calculated using the formula:
\(R_f = \frac{\text{distance travelled by spot}}{\text{distance travelled by solvent front}} = \frac{4.2}{7.5} = 0.56\).

(b)(i) A green precipitate with aqueous sodium hydroxide that remains insoluble in excess indicates the presence of iron(II) ions, \(\text{Fe}^{2+}\).

(b)(ii) The formation of a white precipitate upon addition of nitric acid and barium nitrate is the characteristic test for sulfate ions (\(\text{SO}_4^{2-}\)). The white precipitate that forms is barium sulfate (\(\text{BaSO}_4\)).

PastPaper.markingScheme

(a)(i) 1 mark for stating pencil is insoluble in the solvent
1 mark for explaining that ink is soluble and would run / interfere with the chromatogram

(a)(ii) 1 mark for correct formula or substituting values: \(4.2 / 7.5\)
1 mark for correct value: 0.56 (allow 0.56 or 0.6)

(b)(i) 1.88 marks for identifying iron(II) / \(\text{Fe}^{2+}\) (accept iron-2, reject iron/iron(III))

(b)(ii) 1 mark for identifying sulfate ion (\(\text{SO}_4^{2-}\))
2 marks for identifying the white precipitate as barium sulfate (1 mark for barium, 1 mark for sulfate)
PastPaper.question 3 · Structured
8.88 PastPaper.marks
The electromagnetic spectrum contains waves of different wavelengths and frequencies.

(a) (i) State two properties that are common to all electromagnetic waves. [2]
(ii) Place the following electromagnetic waves in order of increasing wavelength (shortest wavelength first):

**gamma rays, microwaves, ultraviolet** [2]

(b) A red laser light has a wavelength of \(6.5 \times 10^{-7}\text{ m}\) in air. The speed of light in air is \(3.0 \times 10^8\text{ m/s}\).
(i) State the equation linking wave speed, frequency, and wavelength. [1]
(ii) Calculate the frequency of the red laser light. [2.88]
(iii) State what happens to the frequency of this light when it enters a glass block. [1]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) All electromagnetic waves travel at the speed of light in a vacuum (\(3.0 \times 10^8\text{ m/s}\)) and are transverse waves.

(a)(ii) Order of increasing wavelength (shortest to longest): gamma rays (shortest wavelength, highest frequency) -> ultraviolet -> microwaves (longest wavelength, lowest frequency).

(b)(i) The equation is: \(v = f \lambda\) (where \(v\) is wave speed, \(f\) is frequency, and \(\lambda\) is wavelength).

(b)(ii) Rearranging for frequency:
\(f = \frac{v}{\lambda} = \frac{3.0 \times 10^8\text{ m/s}}{6.5 \times 10^{-7}\text{ m}} = 4.62 \times 10^{14}\text{ Hz}\) (or \(4.6 \times 10^{14}\text{ Hz}\)).

(b)(iii) The frequency of a wave depends only on the source and remains constant when the wave passes from one medium to another. (Only speed and wavelength decrease in glass).

PastPaper.markingScheme

(a)(i) 2 marks for any two common properties: travel in vacuum / travel at speed of light (\(3.0 \times 10^8\text{ m/s}\)) / transverse waves / can be reflected/refracted.

(a)(ii) 2 marks for correct order: gamma rays, ultraviolet, microwaves. (1 mark if ultraviolet is first or if order is completely reversed).

(b)(i) 1 mark for correct equation: \(v = f \lambda\) or equivalent.

(b)(ii) 1 mark for rearrangement/working: \(3.0 \times 10^8 / 6.5 \times 10^{-7}\)
1.88 marks for correct answer with unit: \(4.6 \times 10^{14}\text{ Hz}\) (allow \(4.62 \times 10^{14}\text{ Hz}\)).

(b)(iii) 1 mark for stating that the frequency remains the same / is unchanged.
PastPaper.question 4 · Structured
8.88 PastPaper.marks
A student electrolyses molten lead(II) bromide, \(\text{PbBr}_2\), using inert carbon electrodes.

(a) (i) State the name of the product formed at the anode (positive electrode) and describe one observation made at this electrode during electrolysis. [2]
(ii) Write the ionic half-equation for the reaction occurring at the cathode (negative electrode). [2]
(iii) Explain, in terms of ions, why solid lead(II) bromide does not conduct electricity, but molten lead(II) bromide does. [2]

(b) Electroplating is another application of electrolysis. Describe how a steel spoon can be electroplated with copper, stating the electrode used as the spoon, the anode material, and the electrolyte. [2.88]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) At the anode (positive electrode), negative bromide ions (\(\text{Br}^-\)) lose electrons to form bromine gas (\(\text{Br}_2\)). An observation is a brown gas/vapour or bubbles of gas.

(a)(ii) At the cathode (negative electrode), positive lead(II) ions (\(\text{Pb}^{2+}\)) gain electrons to form lead metal. The ionic half-equation is:
\(\text{Pb}^{2+} + 2\text{e}^- \rightarrow \text{Pb}\).

(a)(iii) Solid lead(II) bromide cannot conduct electricity because the ions are tightly held in a fixed lattice structure and cannot move. When molten, the lattice breaks down, and the ions are free to move and carry the electric current.

(b) To electroplate a steel spoon with copper:
- The spoon is made the cathode (negative electrode).
- A piece of pure copper is made the anode (positive electrode).
- The electrolyte is a solution containing copper(II) ions, such as aqueous copper(II) sulfate.

PastPaper.markingScheme

(a)(i) 1 mark for identifying product: bromine
1 mark for correct observation: brown gas/vapour/fumes or bubbles

(a)(ii) 1 mark for correct reactants and products: \(\text{Pb}^{2+}\) and \(\text{Pb}\)
1 mark for correct balanced electron addition: \(+ 2\text{e}^-\)

(a)(iii) 1 mark for stating that in solid, ions are in fixed positions / cannot move
1 mark for stating that in molten, ions are mobile / free to move to carry charge

(b) 1 mark for placing steel spoon at cathode
1 mark for using copper anode
0.88 marks for using aqueous copper(II) sulfate / any soluble copper salt solution as the electrolyte
PastPaper.question 5 · Structured
8.88 PastPaper.marks
A battery of electromotive force (e.m.f.) \(9.0\text{ V}\) is connected to a circuit containing two resistors, \(R_1\) and \(R_2\), connected in parallel.
The resistance of \(R_1 = 6.0\ \Omega\) and the resistance of \(R_2 = 12.0\ \Omega\).

(a) (i) Calculate the combined resistance of the parallel combination. [2]
(ii) Calculate the total current supplied by the battery. [2]
(iii) Calculate the electrical power dissipated in resistor \(R_1\). [2]

(b) (i) Explain how a fuse protects an electrical circuit when the current becomes too high. [1.88]
(ii) If the normal working current of an appliance is \(3.5\text{ A}\), choose the most suitable fuse rating from \(1\text{ A}\), \(3\text{ A}\), \(5\text{ A}\), or \(13\text{ A}\). [1]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) The combined resistance \(R_p\) of two parallel resistors is given by:
\(\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{6.0} + \frac{1}{12.0} = \frac{2}{12.0} + \frac{1}{12.0} = \frac{3}{12.0}\)
\(R_p = \frac{12.0}{3} = 4.0\ \Omega\).

(a)(ii) Total current \(I\) is calculated using Ohm's law: \(I = \frac{V}{R_p}\).
\(I = \frac{9.0\text{ V}}{4.0\ \Omega} = 2.25\text{ A}\).

(a)(iii) The potential difference across each parallel branch is equal to the battery voltage, \(9.0\text{ V}\).
Power dissipated in \(R_1\) is:
\(P = \frac{V^2}{R_1} = \frac{9.0^2}{6.0} = \frac{81}{6.0} = 13.5\text{ W}\).

(b)(i) When current exceeds the fuse rating, the thin wire inside the fuse heats up, melts, and breaks the circuit, stopping any current flow to prevent damage or fire.

(b)(ii) The most suitable fuse rating is \(5\text{ A}\), because it is just above the normal operating current of \(3.5\text{ A}\).

PastPaper.markingScheme

(a)(i) 1 mark for correct formula or working: \(\frac{1}{6} + \frac{1}{12}\) or \(\frac{6 \times 12}{6 + 12}\)
1 mark for correct answer: 4.0 \(\Omega\)

(a)(ii) 1 mark for formula \(I = V/R\)
1 mark for correct answer: 2.25 A (accept 2.3 A)

(a)(iii) 1 mark for power formula: \(P = V^2/R\) or finding current in \(R_1\) (\(I_1 = 1.5\text{ A}\)) and using \(P = I^2 R\)
1 mark for correct calculated value: 13.5 W

(b)(i) 1 mark for stating that excess current heats and melts the fuse wire
0.88 marks for explaining that this breaks/opens the circuit

(b)(ii) 1 mark for choosing 5 A
PastPaper.question 6 · Structured
8.88 PastPaper.marks
A student prepares crystals of copper(II) sulfate by reacting insoluble copper(II) oxide with dilute sulfuric acid.

(a) (i) Write the balanced chemical equation, including state symbols, for this reaction. [3]
(ii) Explain why the student adds excess copper(II) oxide to the acid, and describe how the unreacted copper(II) oxide is removed. [2]
(iii) Describe how the student can obtain pure, dry crystals of copper(II) sulfate from the mixture after the excess copper(II) oxide has been removed. [2.88]

(b) The pH of dilute sulfuric acid is 1. State the colour observed when a few drops of universal indicator are added to this acid. [1]
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PastPaper.workedSolution

(a)(i) The reaction between copper(II) oxide (solid base) and sulfuric acid (aqueous acid) produces copper(II) sulfate solution and water:
\(\text{CuO(s)} + \text{H}_2\text{SO}_4\text{(aq)} \rightarrow \text{CuSO}_4\text{(aq)} + \text{H}_2\text{O(l)}\).

(a)(ii) Excess copper(II) oxide is added to ensure all the sulfuric acid is completely neutralised and used up. The unreacted copper(II) oxide is a solid and can be removed by filtration.

(a)(iii) To obtain crystals from the filtrate:
1. Heat the copper(II) sulfate solution to evaporate some of the water until the crystallization point is reached.
2. Leave the hot solution to cool slowly so crystals can form.
3. Filter the crystals to separate them from the remaining solution.
4. Dry the crystals by pressing them gently between sheets of filter paper.

(b) Universal indicator turns red in strongly acidic solutions (pH 1).

PastPaper.markingScheme

(a)(i) 1 mark for correct chemical formulas of reactants and products
1 mark for correct balancing
1 mark for correct state symbols: (s), (aq), (aq), (l)

(a)(ii) 1 mark for stating excess ensures all acid reacts/is neutralised
1 mark for stating filtration is used to remove unreacted CuO

(a)(iii) 1 mark for heating/evaporating to crystallisation point
1 mark for cooling to form crystals
0.88 marks for filtering and drying crystals with filter paper (do not accept heating to dryness)

(b) 1 mark for red
PastPaper.question 7 · Structured
8.88 PastPaper.marks
Chlorine exists as two main isotopes, chlorine-35 (\(^{35}\text{Cl}\)) and chlorine-37 (\(^{37}\text{Cl}\)).

(a) (i) Define the term *isotopes* in terms of subatomic particles. [2]
(ii) A sample of chlorine gas consists of \(75\%\) chlorine-35 and \(25\%\) chlorine-37. Show by calculation that the relative atomic mass (\(A_r\)) of chlorine in this sample is \(35.5\). [2]

(b) Chlorine gas consists of diatomic molecules, \(\text{Cl}_2\).
(i) Describe the arrangement of outer-shell electrons in a molecule of chlorine, \(\text{Cl}_2\), by stating the number of shared electrons between the atoms and the number of unshared outer-shell electrons remaining on each chlorine atom. [2.88]
(ii) Explain, in terms of structure and bonding, why chlorine gas has a very low boiling point (\(-34\ ^\circ\text{C}\)). [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Isotopes are atoms of the same element with the same number of protons (and electrons) but different numbers of neutrons.

(a)(ii) Relative atomic mass is the weighted average:
\(A_r = \frac{(35 \times 75) + (37 \times 25)}{100} = \frac{2625 + 925}{100} = \frac{3550}{100} = 35.5\).

(b)(i) In a chlorine molecule, there is 1 single covalent bond, meaning there are 2 shared electrons (1 pair) between the two chlorine nuclei. Each chlorine atom has 6 unshared outer-shell electrons remaining (making a total of 8 electrons in each outer shell).

(b)(ii) Chlorine has a simple molecular structure with strong covalent bonds inside the molecules, but only weak intermolecular forces (forces of attraction between different molecules). Very little thermal energy is needed to overcome these weak forces, resulting in a low boiling point.

PastPaper.markingScheme

(a)(i) 1 mark for same number of protons / same proton number
1 mark for different number of neutrons / different nucleon number

(a)(ii) 1 mark for correct relative abundance formula setup: \(\frac{(35 \times 75) + (37 \times 25)}{100}\)
1 mark for showing final answer of 35.5

(b)(i) 1 mark for stating 2 shared electrons (or 1 pair)
1.88 marks for stating 6 unshared outer electrons on each chlorine atom (or 3 lone pairs on each atom)

(b)(ii) 1 mark for identifying simple molecular structure (or weak intermolecular forces / weak forces between molecules)
1 mark for stating that very little energy is needed to overcome these weak forces (reject breaking of covalent bonds)
PastPaper.question 8 · Structured
8.88 PastPaper.marks
Salivary amylase is an enzyme that catalyses the breakdown of starch into maltose.

(a) (i) Define the term *enzyme*. [2]
(ii) State the chemical test used to show the presence of starch, and describe the colour change observed for a positive result. [2]

(b) An experiment is conducted to investigate the effect of temperature on the rate of amylase activity.
(i) Explain, in terms of kinetic energy and collisions, why the rate of reaction increases as the temperature increases from \(10\ ^\circ\text{C}\) to \(35\ ^\circ\text{C}\). [2.88]
(ii) Explain why the rate of reaction drops rapidly to zero when the temperature is increased to \(65\ ^\circ\text{C}\). [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) An enzyme is a protein that functions as a biological catalyst, speeding up metabolic reactions without being consumed in the process.

(a)(ii) The chemical test for starch is the iodine test. When iodine solution is added to a sample containing starch, the colour changes from yellow-brown (or orange) to blue-black.

(b)(i) As temperature increases, the enzyme and substrate molecules gain kinetic energy and move faster. This results in more frequent and successful collisions between the substrate (starch) and the active site of the enzyme, increasing the rate of reaction.

(b)(ii) At high temperatures such as \(65\ ^\circ\text{C}\), the enzyme is denatured. This means the bonds maintaining the three-dimensional protein structure break, changing the shape of the active site. The substrate can no longer fit into the active site, and the catalyst is inactivated.

PastPaper.markingScheme

(a)(i) 1 mark for stating enzyme is a protein
1 mark for stating it is a biological catalyst

(a)(ii) 1 mark for iodine (solution) test
1 mark for correct colour change: yellow-brown / orange to blue-black

(b)(i) 1 mark for molecules gaining kinetic energy / moving faster
1 mark for more frequent collisions
0.88 marks for more successful/fruitful collisions (substrate fitting into active site)

(b)(ii) 1 mark for stating that the enzyme is denatured
1 mark for explaining that the shape of the active site has changed so the substrate can no longer fit
PastPaper.question 9 · Structured
8.88 PastPaper.marks
A student carries out an experiment to measure the speed of sound in air.

The student stands a distance of 150 m from a large flat wall. They clap two wooden blocks together and listen for the echo.

(a) (i) Explain why the sound of the clap is heard again as an echo. [1]

(ii) The student claps the blocks regularly so that each clap coincides with the echo of the previous clap. They measure a time of 17.6 s for 20 claps. Show that the time between a clap and its echo is 0.88 s. [1]

(iii) Calculate the speed of sound in air from these measurements. Show your working. [2]

(b) The sound wave produced by the wooden blocks has a frequency of 380 Hz.

(i) Calculate the wavelength of this sound wave. Use your speed of sound from (a)(iii). [2]

(ii) State and explain how the sound heard by the student changes, if at all, when the wooden blocks are clapped with a greater force. [3]
PastPaper.showAnswers

PastPaper.workedSolution

Part (a)(i):
An echo is caused by the reflection of sound waves off a hard surface (the wall).

Part (a)(ii):
Time for 20 claps = 17.6 s.
Time interval for 1 clap = \(17.6 \text{ s} / 20 = 0.88 \text{ s}\).

Part (a)(iii):
Speed = distance / time
The sound travels to the wall and back, so total distance = \(2 \times 150 \text{ m} = 300 \text{ m}\).
Speed = \(300 \text{ m} / 0.88 \text{ s} = 340.9 \text{ m/s}\) (accepts 341 m/s or 340 m/s).

Part (b)(i):
Use the wave equation: \(v = f \lambda\)
\(\lambda = \frac{v}{f}\)
\(\lambda = \frac{341}{380} = 0.897 \text{ m}\) (accepts 0.90 m or 0.89 m using 340 m/s).

Part (b)(ii):
Clapping with greater force increases the energy of the sound wave, which increases its amplitude. Therefore, the sound heard is louder. The frequency (and thus the pitch) remains unchanged.

PastPaper.markingScheme

(a)(i) Sound waves reflect / bounce off the wall. [1]
(a)(ii) \(17.6 / 20 = 0.88 \text{ (s)}\) [1]
(a)(iii) Total distance traveled = 300 (m) [1]; Speed = 341 (m/s) (allow 340 (m/s) or 340.9 (m/s)) [1]
(b)(i) Correct formula used: \(\lambda = v / f\) [1]; Wavelength = 0.90 (m) (allow 0.897 (m) or 0.89 (m) depending on speed from a(iii)) [1]
(b)(ii) (Sound becomes) louder [1]; amplitude of the wave increases [1]; pitch / frequency remains the same [1]

Paper 62

Answer all experimental questions. Plot graphs carefully and plan the required investigation.
4 PastPaper.question · 40 PastPaper.marks
PastPaper.question 1 · Practical/Alternative
10 PastPaper.marks
A student investigates the effect of temperature on the rate of starch breakdown by amylase. At regular intervals of 30 seconds, samples of the mixture are added to drops of iodine solution on a spotting tile. (a) State the color of iodine solution: (i) in the presence of starch, (ii) in the absence of starch. (b) The student obtains the following results for the time taken to reach the end-point (where starch is no longer present): at \(20^\circ\text{C}\): 240 s; at \(30^\circ\text{C}\): 120 s; at \(40^\circ\text{C}\): 60 s; at \(50^\circ\text{C}\): 180 s; at \(60^\circ\text{C}\): no reaction after 600 s. (i) Describe how the student should present these results in a single structured table. (ii) Explain the results obtained at \(60^\circ\text{C}\) in terms of enzyme structure. (c) State two variables that must be kept constant in this investigation. (d) Suggest one improvement to obtain a more accurate estimate of the optimum temperature.
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Blue-black. (a)(ii) Brown or orange-yellow. (b)(i) Draw a table with two columns: the first column headed 'Temperature / \(^\circ\text{C}\)' and the second column headed 'Time / s'. Enter the temperature values 20, 30, 40, 50, 60 and corresponding times 240, 120, 60, 180, and 'No reaction' or '> 600'. (b)(ii) At \(60^\circ\text{C}\), the amylase enzyme has denatured because high temperature changes the shape of its active site, meaning starch can no longer bind. (c) Volume of amylase, concentration of amylase, volume of starch solution, concentration of starch solution, or pH. (d) Test more temperatures at smaller intervals between \(30^\circ\text{C}\) and \(50^\circ\text{C}\).

PastPaper.markingScheme

(a)(i) Blue-black: 1 mark. (a)(ii) Brown/yellow/orange: 1 mark. (b)(i) Table structure with clear headings and units: 1 mark. All data correctly entered: 1 mark. Denoting \(60^\circ\text{C}\) as no reaction or > 600 s: 1 mark. (b)(ii) Enzyme/amylase is denatured: 1 mark. Active site shape changed / substrate can no longer fit: 1 mark. (c) Any two constant variables: 2 marks. (d) Test intermediate temperatures (e.g. 35, 45 \(^\circ\text{C}\)): 1 mark.
PastPaper.question 2 · Practical/Alternative
10 PastPaper.marks
A student is given a solid green salt X to identify. When solid X is heated in a test-tube, a gas is evolved and a black solid residue is left. Dilute hydrochloric acid is added to the residue to form a blue-green solution Y. (a)(i) Describe a chemical test to confirm that the gas evolved is carbon dioxide, including the observation for a positive result. (ii) State the chemical formula of carbon dioxide. (b)(i) Identify the metal cation present in solution Y, based on the blue-green color. (ii) Suggest the chemical name of the green salt X. (c) The student adds excess aqueous ammonia to solution Y. A dark blue solution is formed. (i) Describe the laboratory apparatus required to perform filtration, explaining where the precipitate and the filtrate would be collected. (ii) Explain why filtration cannot be used to separate the dark blue substance formed when excess aqueous ammonia is added to Y.
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Bubble the gas through limewater. The limewater turns cloudy or milky. (ii) \(\text{CO}_2\). (b)(i) Copper(II) / \(\text{Cu}^{2+}\) ions. (ii) Copper(II) carbonate. (c)(i) Use a filter funnel lined with filter paper, placed in a conical flask or beaker. The insoluble precipitate is collected on the filter paper as residue, while the liquid filtrate passes through into the flask. (ii) The dark blue substance is a soluble complex that has completely dissolved in the solution, so it passes through the filter paper with the filtrate.

PastPaper.markingScheme

(a)(i) Limewater test: 1 mark. Turns cloudy/milky: 1 mark. (a)(ii) \(\text{CO}_2\): 1 mark. (b)(i) Copper(II) / \(\text{Cu}^{2+}\): 1 mark. (b)(ii) Copper(II) carbonate: 1 mark. (c)(i) Mention filter funnel and filter paper: 1 mark. Filtrate collected in flask/beaker: 1 mark. Residue/precipitate retained on filter paper: 1 mark. (c)(ii) The dark blue complex is soluble/dissolved: 1 mark. It passes through the filter paper pores: 1 mark.
PastPaper.question 3 · Practical/Alternative
10 PastPaper.marks
A student investigates the extension of a spring. The unstretched length of the spring is \(l_0 = 25\text{ mm}\). Different loads F (in newtons) are applied, and the new length l of the spring is measured. The results are: F = 0.0 N, l = 25 mm; F = 1.0 N, l = 42 mm; F = 2.0 N, l = 60 mm; F = 3.0 N, l = 77 mm; F = 4.0 N, l = 95 mm; F = 5.0 N, l = 120 mm. (a) Calculate the extension e (where \(e = l - l_0\)) for each load and state the values. (b)(i) Describe how to plot a graph of extension e (y-axis) against load F (x-axis), including details about axes and the line of best fit. (ii) Identify which load value represents an anomalous result. (iii) State the load at which the spring exceeded its limit of proportionality, and explain your answer. (c) Describe one practical precaution the student should take to ensure that the length measurements of the spring are as accurate as possible.
PastPaper.showAnswers

PastPaper.workedSolution

(a) Extensions are: 0.0 N = 0 mm, 1.0 N = 17 mm, 2.0 N = 35 mm, 3.0 N = 52 mm, 4.0 N = 70 mm, 5.0 N = 95 mm. (b)(i) Plot Load/N on the horizontal axis and Extension/mm on the vertical axis. Choose a linear scale. Plot the points. Draw a straight line of best fit starting from (0,0) through the first five points, leaving out the anomalous point at 5.0 N. (b)(ii) The anomalous result is at 5.0 N (extension 95 mm). (b)(iii) 5.0 N, because the extension is no longer directly proportional to load / the graph curves upwards. (c) Read the ruler at eye level to avoid parallax error, or use a fiducial marker (pointer) attached to the bottom of the spring, or ensure the ruler is parallel and close to the spring.

PastPaper.markingScheme

(a) Correct extension values calculated: 2 marks (deduct 1 mark for each error). (b)(i) Correct axes labeled with units (Load / N, Extension / mm): 1 mark. Linear scale and correct plotting of non-anomalous points: 1 mark. Straight line of best fit through first 5 points: 1 mark. (b)(ii) Load of 5.0 N identified as anomalous: 1 mark. (b)(iii) Limit exceeded at 5.0 N: 1 mark. Because graph is no longer linear / Hooke's law is no longer obeyed: 1 mark. (c) Any suitable precaution: Avoid parallax error / use fiducial pointer / align ruler parallel: 2 marks (1 mark for precaution, 1 mark for detail/explanation).
PastPaper.question 4 · Practical/Alternative
10 PastPaper.marks
A student investigates how the electrical resistance of a constantan wire depends on its length. The apparatus includes a power supply, a switch, an ammeter, a voltmeter, and a length of wire. (a) Describe the circuit diagram that must be used to carry out this investigation, specifying how the ammeter and voltmeter are connected. (b) For a wire length of 40.0 cm, the ammeter reads 0.32 A and the voltmeter reads 1.60 V. (i) Name the instrument used to measure the potential difference. (ii) Calculate the resistance of this 40.0 cm wire. Show your working and state the unit. (c) Resistance is directly proportional to the length of the wire. Predict the resistance of an 80.0 cm length of this same wire. (d) State one practical step taken during the experiment to prevent the wire from overheating, and explain why keeping the temperature constant is important.
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PastPaper.workedSolution

(a) Connect the power supply, switch, ammeter, and the test wire in a series loop. Connect the voltmeter in parallel across the specific length of the test wire. (b)(i) Voltmeter. (ii) Resistance \(R = V / I = 1.60 / 0.32 = 5.0\ \Omega\). (c) \(10.0\ \Omega\) (double the resistance of the 40.0 cm wire). (d) Switch off the circuit between taking readings to prevent current flowing continuously. Keeping temperature constant is important because resistance changes with temperature, which would make the test unfair / change the results.

PastPaper.markingScheme

(a) Series connection of battery, switch, ammeter, and wire: 1 mark. Voltmeter in parallel across wire: 1 mark. Correct circuit symbols described: 1 mark. (b)(i) Voltmeter: 1 mark. (b)(ii) \(R = 1.60 / 0.32 = 5.0\): 1 mark. Unit is ohm / \(\Omega\): 1 mark. (c) \(10.0\ \Omega\): 1 mark. (d) Switch off between readings / keep current low: 1 mark. Temperature affects resistance: 1 mark. Ensure a fair test / control variable: 1 mark.

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