An original Thinka practice paper modelled on the structure and difficulty of the Jun 2026 (V2) Cambridge IGCSE Science - Combined (0653) paper. Not affiliated with or reproduced from Cambridge.
甲部: Biology
Answer all questions. Show clear scientific descriptions and precise biological terminology.
Figure 1.1 represents a simplified schematic of the human gas exchange system.
[Figure 1.1: A diagram of the human breathing system showing the trachea dividing into two airways, each leading into a lung, ending in tiny clusters of air sacs. Structure P indicates one of the two main airways branching from the trachea into the lung. Structure Q indicates the microscopic air sacs where gas exchange with blood capillaries occurs.]
Identify structures P and Q shown in Figure 1.1.
Structure P: Structure Q:
查看答案詳解收起答案詳解
解題
Structure P is the bronchus (plural: bronchi), which branches off the trachea to carry air into each lung. Structure Q is the alveolus (plural: alveoli), the microscopic air sac where diffusion of oxygen and carbon dioxide takes place between air and blood.
評分準則
P: bronchus / bronchi ; [1] Q: alveolus / alveoli / air sac ; [1] NOT: bronchiole for P; NOT: lung / capillary for Q.
Figure 1.2 shows a diagram of a cross-section through the mammalian heart.
[Figure 1.2: A vertical section through the four chambers of the heart. Structure X points to the lower chamber on the left side of the heart, which has the thickest muscular wall. Structure Y points to the blood vessel that leaves the right ventricle and transports blood directly to the lungs.]
Name structure X and blood vessel Y.
Structure X: Blood vessel Y:
查看答案詳解收起答案詳解
解題
Structure X is the left ventricle, which has a thick muscular wall to pump oxygenated blood at high pressure throughout the systemic circulation. Structure Y is the pulmonary artery, which transports deoxygenated blood from the right ventricle to the lungs.
評分準則
X: left ventricle ; [1] Y: pulmonary artery ; [1] NOT: ventricle alone for X; NOT: pulmonary vein / aorta for Y.
Figure 1.3 shows a section through an insect-pollinated flower.
[Figure 1.3: A diagram of a complete insect-pollinated flower. Structure J points to the receptive surface at the top of the carpel/style that captures pollen grains. Structure K points to the pollen-producing terminal part of the stamen supported by the filament.]
Identify parts J and K of the flower.
Part J: Part K:
查看答案詳解收起答案詳解
解題
Part J is the stigma, the sticky terminal portion of the female reproductive organ (carpel) that receives pollen during pollination. Part K is the anther, the part of the male reproductive organ (stamen) where pollen grains are produced and released.
評分準則
J: stigma ; [1] K: anther ; [1] NOT: style / carpel for J; NOT: filament / stamen for K.
題目 4 · Data Interpretation & Rate Analysis
3 分
A student investigates the rate of photosynthesis in an aquatic plant at different distances from a lamp.
Table 1.1 shows the volume of oxygen gas collected in 5 minutes and the calculated rate of gas production at various distances.
Table 1.1
| Distance of lamp / cm | Volume of oxygen collected in 5 minutes / cm\(^3\) | Rate of oxygen production / cm\(^3\) per min | | :--- | :--- | :--- | | 10 | 4.5 | 0.90 | | 20 | 3.0 | 0.60 | | 30 | 1.8 | 0.36 | | 40 | 0.9 | 0.18 | | 50 | 0.4 | ................ |
(a) Calculate the rate of oxygen production when the lamp is at a distance of 50 cm. [1]
(b) Describe the relationship between the distance of the lamp and the rate of oxygen production. Use data from Table 1.1 to support your answer. [2]
(b) As the distance of the lamp increases (from 10 cm to 50 cm), the rate of oxygen production decreases from 0.90 cm\(^3\)/min to 0.08 cm\(^3\)/min (or decreases by 0.82 cm\(^3\)/min).
評分準則
(a) 0.08 (cm\(^3\) per min); [1]
(b) as distance increases, the rate of oxygen production decreases / inverse relationship; [1] correct comparative data quote with units (e.g. rate is 0.90 cm\(^3\)/min at 10 cm and drops to 0.08 cm\(^3\)/min at 50 cm / decreases by 0.82 cm\(^3\)/min / rate is halved from 20 cm to 20 cm); [1] (ALLOW ECF from (a))
題目 5 · Data Interpretation & Rate Analysis
3 分
A student investigates the effect of temperature on the activity of the enzyme amylase.
Table 2.1 shows the rate of starch digestion at different temperatures.
(a) State the optimum temperature for this enzyme shown by the data in Table 2.1. [1]
(b) Explain why the rate of reaction decreases between 40 \(^\circ\text{C}\) and 60 \(^\circ\text{C}\). [2]
查看答案詳解收起答案詳解
解題
(a) The optimum temperature is 40 \(^\circ\text{C}\) because the rate of reaction is at its highest (50 arbitrary units).
(b) Above the optimum temperature, excessive kinetic energy disrupts the enzyme structure, causing the enzyme to denature. The active site changes shape so that the substrate (starch) can no longer bind to form enzyme-substrate complexes, reducing and eventually stopping the reaction.
評分準則
(a) 40 (\(^\circ\text{C}\)); [1]
(b) enzyme denatures / active site changes shape; [1] substrate / starch no longer fits into the active site / enzyme-substrate complexes can no longer form; [1] (REJECT 'enzyme is killed' / 'enzyme dies')
題目 6 · structured
3.75 分
Table 1.1 shows the approximate concentrations of oxygen and carbon dioxide in inspired air and expired air during resting conditions.
Table 1.1 Gas | Inspired air / % | Expired air / % Oxygen | 21.0 | 16.0 Carbon dioxide | 0.04 | 4.00
(a) Explain why expired air contains a lower percentage of oxygen and a higher percentage of carbon dioxide than inspired air.
(b) State two structural features of human alveoli and explain how each feature allows efficient gas exchange to take place.
查看答案詳解收起答案詳解
解題
(a) In the alveoli, oxygen diffuses down its concentration gradient from the alveolar air into the blood capillaries to be transported to body cells for aerobic respiration. Carbon dioxide, produced as a waste product of cellular respiration in body tissues, is transported by the blood to the lungs, where it diffuses from the capillary blood into the alveoli and is exhaled.
(b) Feature 1: The alveolar walls are extremely thin (one cell thick), providing a very short diffusion pathway for gases. Feature 2: There are millions of alveoli, providing a very large total surface area to maximize the rate of gas diffusion between air and blood (or a moist lining that allows gases to dissolve, or an extensive network of surrounding blood capillaries maintaining a steep concentration gradient).
評分準則
(a) 2 marks total: • Oxygen diffuses from alveoli into blood / used by cells for (aerobic) respiration; [1] • Carbon dioxide is produced by respiration and diffuses from blood into alveoli (to be exhaled); [1]
(b) 2 marks total (scaled to 1.75 marks equivalent): Award 1 mark per pair of feature and linked explanation (max 2 pairs): • (Feature:) thin wall / one cell thick / short distance; (Explanation:) gives a short diffusion pathway / fast diffusion; [1] • (Feature:) large surface area / large surface area to volume ratio; (Explanation:) allows more gas molecules to diffuse per unit time; [1] • (Feature:) moist surface / film of moisture; (Explanation:) allows oxygen to dissolve before diffusing; [1] • (Feature:) dense capillary network / good blood supply; (Explanation:) maintains a steep concentration gradient; [1] IGNORE: references to breathing movements alone.
題目 7 · structured
3.75 分
Blood is transported away from the heart in arteries and returns to the heart in veins.
(a) Compare the structure of an artery wall with the structure of a vein wall.
(b) Explain how the structural differences between arteries and veins relate to the blood pressure in each type of vessel.
查看答案詳解收起答案詳解
解題
(a) An artery has a significantly thicker wall containing more smooth muscle and elastic fibres compared to a vein, and it has a narrower central lumen. Veins have thinner muscular walls, a wider lumen, and possess internal semi-lunar valves which are absent in arteries.
(b) Arteries receive blood directly pumped from the ventricles under high and pulsating pressure. The thick muscular and elastic walls withstand this high pressure without bursting, and elastic recoil helps maintain pressure between heart contractions. In contrast, blood in veins travels under very low pressure; the wider lumen reduces resistance to blood flow, and one-way valves prevent the backflow of blood as it returns towards the heart.
評分準則
(a) 2 marks total: Any two comparative points from: • Artery has thicker wall / vein has thinner wall; [1] • Artery has more elastic / muscle tissue / vein has less elastic / muscle tissue; [1] • Artery has a narrower lumen / vein has a wider lumen; [1] • Veins have valves / arteries do not have valves; [1]
(b) 2 marks total (scaled to 1.75 marks equivalent): • Artery explanation: high pressure from ventricle contraction requires thick / elastic walls to withstand pressure / prevent bursting / maintain blood pressure by recoil; [1] • Vein explanation: low pressure means blood moves slowly / needs valves to prevent backflow OR large lumen to reduce resistance to flow; [1] NOT: crediting valves in arteries.
題目 8 · structured
3.75 分
Flowering plants can be pollinated by insects or by wind.
(a) State two differences between pollen grains produced by insect-pollinated flowers and pollen grains produced by wind-pollinated flowers.
(b) Describe the position and appearance of the stigma in a wind-pollinated flower and explain how these features adapt the flower for successful pollination.
查看答案詳解收起答案詳解
解題
(a) Insect-pollinated flowers produce larger, sticky or spiky pollen grains in relatively smaller quantities so they easily adhere to an insect's body. Wind-pollinated flowers produce very small, lightweight, smooth pollen grains in massive quantities so they can be easily carried by air currents.
(b) In wind-pollinated flowers, the stigmas hang loosely outside the floral parts (petals) and have a feathery, branched structure. This exposed position allows them to be directly in the path of passing air currents, and the large feathery surface area acts as a net to trap airborne pollen grains blown by the wind.
評分準則
(a) 2 marks total: Any two comparative points (insect-pollinated vs wind-pollinated): • Insect pollen is larger / wind pollen is smaller / lighter; [1] • Insect pollen is sticky / spiky / rough / wind pollen is smooth / non-sticky; [1] • Insect pollen produced in smaller numbers / wind pollen produced in large quantities; [1]
(b) 2 marks total (scaled to 1.75 marks equivalent): • (Position & appearance:) stigma hangs outside / exposed AND is feathery / branched / large surface area; [1] • (Explanation:) exposed to wind currents / acts as a net to catch / trap drifting pollen grains; [1]
題目 9 · structured
3.75 分
Proteins and starch are large insoluble biological molecules that undergo chemical digestion in different regions of the human alimentary canal.
(a) Identify the specific enzyme responsible for digesting protein in the stomach and state the pH conditions required for this enzyme to function effectively.
(b) Explain why starch cannot be digested in the stomach, referring to enzyme specificity and the conditions present in the stomach.
查看答案詳解收起答案詳解
解題
(a) The enzyme in the stomach is protease (pepsin). It requires strongly acidic conditions (approximately pH 1.5 to 2.0), which are provided by the hydrochloric acid secreted in gastric juice.
(b) Starch is chemically digested by the enzyme amylase, not protease. Enzymes exhibit specificity because the active site of an enzyme is complementary in shape only to its specific substrate. Amylase functions optimally in neutral to slightly alkaline conditions (as found in saliva and the duodenum). When amylase swallowed with food reaches the highly acidic environment of the stomach, its active site is denatured (changes shape permanently). Therefore, starch cannot bind to form enzyme-substrate complexes, preventing starch digestion in the stomach.
評分準則
(a) 2 marks total: • (Enzyme:) protease / pepsin; [1] • (Condition:) acidic / low pH / pH 1 to 3 / presence of hydrochloric acid; [1]
(b) 2 marks total (scaled to 1.75 marks equivalent): • (Specificity:) amylase (which breaks down starch) has an active site complementary only to starch / protease cannot bind starch; [1] • (Denaturation / conditions:) the acidic pH / stomach acid denatures amylase / changes the shape of its active site so no enzyme-substrate complexes can form; [1] IGNORE: references to mechanical churning.
Answer all questions. Complete equations, chemical tables, and electronic structures accurately.
8 題目 · 24 分
題目 1 · structured
4 分
Table 4.1 gives information about some elements in Group VII of the Periodic Table.
Table 4.1 | Element | State at r.t.p. | Colour | | :--- | :--- | :--- | | Fluorine | gas | pale yellow | | Chlorine | gas | pale green | | Bromine | liquid | red-brown | | Iodine | solid | grey-black |
(a) Describe the trend in the physical state of the Group VII elements at room temperature and pressure (r.t.p.) down the group. [1]
(b) Aqueous bromine is added to a test-tube containing aqueous potassium iodide. (i) State the colour change observed in the solution. [1] (ii) Name the element that is displaced during this reaction. [1]
(c) A chlorine atom has an atomic number of 17 and an electronic configuration of 2,8,7. State the electronic configuration of a chloride ion, \(\text{Cl}^-\). [1]
查看答案詳解收起答案詳解
解題
(a) Moving down Group VII, the physical state changes from gas (fluorine and chlorine) to liquid (bromine) to solid (iodine).
(b)(i) Bromine is more reactive than iodine, so it displaces iodide ions to form aqueous iodine, turning the solution from colourless to brown/orange-brown. (b)(ii) Iodine is displaced by bromine.
(c) A chlorine atom gains 1 electron to form a stable full outer shell chloride ion (\(\text{Cl}^-\)), so its electronic structure becomes 2,8,8.
評分準則
(a) (changes from) gas to liquid to solid / boiling point increases down the group [1];
(b)(i) colourless to brown / orange-brown / yellow-brown [1] (IGNORE red / purple unless organic solvent specified);
The elements in Group I of the Periodic Table are known as the alkali metals.
(a) State the trend in reactivity of Group I metals with water as the group is descended. [1]
(b) A small piece of potassium metal is added to a trough of cold water containing a few drops of universal indicator. (i) State one observation made during this reaction that is not seen when lithium reacts with cold water. [1] (ii) State the colour of the universal indicator once the potassium has completely reacted. [1]
(c) A neutral potassium atom has 19 electrons with an electronic configuration of 2,8,8,1. Deduce the electronic configuration of a potassium ion, \(\text{K}^+\). [1]
查看答案詳解收起答案詳解
解題
(a) Down Group I, the outer electron is further from the nucleus and shielded by more electron shells, making it easier to lose; thus reactivity increases down the group.
(b)(i) Potassium reacts much more vigorously than lithium, generating enough heat to ignite the hydrogen gas produced, burning with a characteristic lilac flame. (b)(ii) The reaction produces potassium hydroxide, which is a strongly alkaline solution (pH > 11), turning universal indicator purple (or blue).
(c) A potassium atom loses its single outer shell electron to form a \(\text{K}^+\) ion, resulting in the electron arrangement 2,8,8.
評分準則
(a) (reactivity) increases / becomes more reactive [1];
(b)(i) catches fire / burns with a flame / lilac flame / explodes [1] (ALLOW produces a lilac flame; IGNORE moves faster / effervesces faster);
(b)(ii) purple / blue / violet [1] (REJECT red / orange / yellow / green);
(c) 2,8,8 [1]
題目 3 · short_answer
3 分
Methane, \(\text{CH}_4\), is a simple molecular compound found in natural gas.
(a) Complete the dot-and-cross diagram to show the arrangement of outer-shell electrons in a molecule of methane, \(\text{CH}_4\). Show outer electrons only.
(b) Describe, in terms of electrostatic attraction, what is meant by a single covalent bond.
查看答案詳解收起答案詳解
解題
(a) A carbon atom has 4 outer electrons and needs 4 more electrons to achieve a full shell (octet). Each of the 4 hydrogen atoms has 1 electron and needs 1 more to complete its shell (duplet). Therefore, the central carbon atom forms 4 single covalent bonds, sharing one pair of electrons (one dot, one cross) with each of the 4 hydrogen atoms. There are no lone pairs on the carbon atom or the hydrogen atoms.
(b) A single covalent bond consists of a shared pair of electrons held together by the electrostatic attraction between the negatively charged shared pair of electrons and the positively charged nuclei of the two bonded atoms.
評分準則
(a) • Four shared pairs of electrons shown between the central C atom and each of the four H atoms (one dot and one cross per shared pair) [1]; • Fully correct outer shell configuration with no extra unshared electrons on C or H [1];
(b) • Electrostatic attraction between the shared pair of electrons and the (positively charged) nuclei (of the bonded atoms) [1].
[Total: 3 marks]
題目 4 · short_answer
3 分
Water, \(\text{H}_2\text{O}\), is a covalent compound formed when hydrogen burns in oxygen.
(a) Draw a dot-and-cross diagram to show the arrangement of the outer-shell electrons in one molecule of water, \(\text{H}_2\text{O}\).
(b) Explain why water has a low boiling point.
查看答案詳解收起答案詳解
解題
(a) Oxygen is in Group VI and has 6 valence electrons; each hydrogen has 1 valence electron. The oxygen atom shares one electron with each of the two hydrogen atoms to form two single covalent bonds (two shared pairs). Oxygen retains 4 non-bonding outer electrons (two lone pairs), giving a complete outer shell of 8 electrons around oxygen and 2 electrons around each hydrogen.
(b) Water is a simple molecular substance. The covalent bonds within the molecules are strong, but the intermolecular forces (forces between molecules) are weak. Only a small amount of thermal energy is needed to overcome these weak attractive forces, resulting in a low boiling point.
評分準則
(a) • One pair of shared electrons (one dot, one cross) between the central O atom and each of the two H atoms [1]; • Two lone pairs (4 unbonded electrons) on the outer shell of the O atom and no unshared electrons on the H atoms [1];
(b) • Weak intermolecular forces / weak forces between molecules (require little thermal energy to overcome) [1]. (ALLOW 'weak attractions between molecules'; REJECT 'covalent bonds break' / 'bonds between H and O break' for mark 3)
[Total: 3 marks]
題目 5 · structured
2.5 分
Sulfur impurities present in fossil fuels burn to produce sulfur dioxide, \(\text{SO}_2\), which is an atmospheric pollutant.
(a) Balance the chemical equation for the oxidation of sulfur dioxide to sulfur trioxide:
(b) State one harmful environmental effect caused by the release of sulfur dioxide into the atmosphere.
查看答案詳解收起答案詳解
解題
(a) Balancing the equation: Sulfur dioxide reacts with oxygen to form sulfur trioxide: \(2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow 2\text{SO}_3\text{(g)}\). (b) Sulfur dioxide dissolves in atmospheric water to form acid rain, which damages vegetation, acidifies lakes and aquatic ecosystems, or corrodes limestone structures.
評分準則
(a) 2 (before \(\text{SO}_2\)) AND 2 (before \(\text{SO}_3\)) [1.5]; (b) Causes acid rain / acidification of aquatic ecosystems / leaching of soil nutrients / corrosion of stone/limestone buildings [1]; IGNORE: general global warming or ozone depletion (NOT credited).
題目 6 · structured
2.5 分
Car engines produce toxic emissions including nitrogen monoxide, \(\text{NO}\), and carbon monoxide, \(\text{CO}\).
(a) State the condition during combustion that causes carbon monoxide to form instead of carbon dioxide.
(b) Catalytic converters convert these harmful gases into non-toxic substances. Complete the balancing of the equation for this reaction:
(a) Carbon monoxide is produced when fuels burn in an incomplete combustion process due to a limited or insufficient oxygen supply. (b) Balancing the reaction: \(2\text{NO} + 2\text{CO} \rightarrow \text{N}_2 + 2\text{CO}_2\). Both nitrogen and carbon balance with 2 on each side, yielding 4 oxygen atoms on both sides.
評分準則
(a) Incomplete combustion / limited or insufficient supply of oxygen/air [1]; (b) Fully balanced equation with coefficients 2, 2, 2 [1.5]; (Award [1] if two of the three stoichiometric coefficients are correct).
題目 7 · structured
2.5 分
Limestone (calcium carbonate, \(\text{CaCO}_3\)) is used in the industrial manufacture of lime (calcium oxide, \(\text{CaO}\)).
(a) Write a balanced chemical equation, including state symbols, for the thermal decomposition of solid calcium carbonate into solid calcium oxide and carbon dioxide gas.
(b) Name the enhanced environmental phenomenon associated with the accumulation of carbon dioxide gas in the atmosphere.
查看答案詳解收起答案詳解
解題
(a) Thermal decomposition of calcium carbonate: \(\text{CaCO}_3\text{(s)} \rightarrow \text{CaO}\text{(s)} + \text{CO}_2\text{(g)}\). (b) Excess carbon dioxide acts as a greenhouse gas that absorbs thermal energy (infrared radiation) emitted by the Earth, leading to the enhanced greenhouse effect / global warming.
評分準則
(a) \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\) [1]; Correct state symbols: \(\text{(s)}\) for \(\text{CaCO}_3\) and \(\text{CaO}\), \(\text{(g)}\) for \(\text{CO}_2\) [0.5]; (b) Enhanced greenhouse effect / global warming / climate change [1]; REJECT: ozone depletion.
題目 8 · structured
2.5 分
Flue gas desulfurisation removes sulfur dioxide from power plant waste gases using solid calcium oxide.
(a) Solid calcium oxide reacts with gaseous sulfur dioxide in a synthesis reaction to produce solid calcium sulfite, \(\text{CaSO}_3\). Write the balanced chemical equation for this reaction.
(b) Explain, using collision theory, why using powdered calcium oxide instead of large lumps of calcium oxide increases the rate of this neutralisation reaction.
查看答案詳解收起答案詳解
解題
(a) \(\text{CaO}\text{(s)} + \text{SO}_2\text{(g)} \rightarrow \text{CaSO}_3\text{(s)}\). (b) Powdered solid has a much larger total surface area exposed to the gas. Therefore, there are more frequent collisions (more collisions per unit time/second) between reacting particles, which increases the reaction rate.
評分準則
(a) \(\text{CaO} + \text{SO}_2 \rightarrow \text{CaSO}_3\) [1]; (b) Larger / increased surface area (of solid) [0.5]; More collisions per unit time / higher frequency of collisions (between particles) [1]; (Total 2.5 marks)
部分 C: Physics
Answer all questions. Show all working for calculations and state appropriate units.
9 題目 · 28.02 分
題目 1 · structured
2.67 分
A circuit contains a \(12\text{ V}\) power supply connected in series with a fixed resistor of resistance \(8.0\ \Omega\) and a small heating element.
The potential difference measured across the heating element is \(4.8\text{ V}\).
(a) Calculate the current in the circuit.
(b) Calculate the power dissipated in the heating element.
查看答案詳解收起答案詳解
解題
(a) First find the potential difference across the \(8.0\ \Omega\) resistor: \(V_{\text{resistor}} = 12\text{ V} - 4.8\text{ V} = 7.2\text{ V}\)
Then use Ohm's law to find the current: \(I = \frac{V}{R} = \frac{7.2}{8.0} = 0.90\text{ A}\)
(b) Calculate the power dissipated by the heating element using \(P = IV\): \(P = 0.90\text{ A} \times 4.8\text{ V} = 4.32\text{ W}\) (or \(4.3\text{ W}\))
(b) \(P = IV\) OR \(0.90 \times 4.8\) ; \(4.32\text{ W}\) / \(4.3\text{ W}\) [Allow ecf from (a)] ;
題目 2 · structured
2.67 分
A student sets up a parallel circuit containing a \(6.0\text{ V}\) power supply, a lamp rated at \(1.8\text{ W}\), and a resistor of resistance \(30\ \Omega\).
(a) Calculate the current flowing through the lamp.
(b) Calculate the total current supplied by the power supply.
查看答案詳解收起答案詳解
解題
(a) For the lamp, \(P = IV\): \(I_{\text{lamp}} = \frac{P}{V} = \frac{1.8}{6.0} = 0.30\text{ A}\)
(b) For the resistor in parallel, the potential difference across it is also \(6.0\text{ V}\): \(I_{\text{resistor}} = \frac{V}{R} = \frac{6.0}{30} = 0.20\text{ A}\)
Total current is the sum of the branch currents: \(I_{\text{total}} = I_{\text{lamp}} + I_{\text{resistor}} = 0.30 + 0.20 = 0.50\text{ A}\)
評分準則
(a) \(I = \frac{P}{V}\) OR \(\frac{1.8}{6.0}\) ; \(0.30\text{ A}\) ;
(b) Current in resistor \(I = \frac{6.0}{30} = 0.20\text{ A}\) ; Total current \(= 0.50\text{ A}\) [Allow ecf from (a)] ;
題目 3 · structured
2.67 分
An electric immersion heater is connected to a \(24\text{ V}\) d.c. supply. The current in the heater is \(2.5\text{ A}\).
(a) Calculate the electrical energy transferred by the heater in \(3.0\text{ minutes}\).
(b) The manufacturer provides three fuses with ratings \(2\text{ A}\), \(3\text{ A}\), and \(5\text{ A}\). State and explain which fuse is the most suitable for this circuit.
查看答案詳解收起答案詳解
解題
(a) Convert time to seconds: \(t = 3.0 \times 60 = 180\text{ s}\) Use the formula \(E = IVt\): \(E = 2.5\text{ A} \times 24\text{ V} \times 180\text{ s} = 10\ 800\text{ J}\) (or \(10.8\text{ kJ}\) / \(1.1 \times 10^4\text{ J}\))
(b) The \(3\text{ A}\) fuse is the most suitable. A \(2\text{ A}\) fuse would blow under normal operating current (\(2.5\text{ A}\)), whereas the \(3\text{ A}\) fuse allows normal operation while providing better protection than a \(5\text{ A}\) fuse.
評分準則
(a) Conversion of \(3.0\text{ min}\) to \(180\text{ s}\) OR substitution into \(E = IVt\) (e.g. \(2.5 \times 24 \times 180\)) ; \(10\ 800\text{ J}\) / \(10.8\text{ kJ}\) ;
(b) \(3\text{ A}\) (fuse) ; (Reason:) Current of \(2.5\text{ A}\) would blow a \(2\text{ A}\) fuse / \(3\text{ A}\) is just above normal working current ;
題目 4 · structured
2.67 分
A student uses a vibrating bar in a ripple tank to generate water waves. The frequency of the vibrations is \( 15\text{ Hz} \) and the waves travel across the water surface at a speed of \( 0.45\text{ m/s} \).
(a) Calculate the wavelength of the water waves. State the unit.
(b) State what is transferred by the wave from the vibrating source to the edge of the tank without transferring matter.
查看答案詳解收起答案詳解
解題
(a) Use the wave equation: \( v = f \lambda \) Rearranging gives: \( \lambda = \frac{v}{f} = \frac{0.45\text{ m/s}}{15\text{ Hz}} = 0.030\text{ m} \) (or \( 3.0\text{ cm} \))
(b) Waves transfer energy without transferring matter.
評分準則
(a) Correct rearrangement or substitution: \( \lambda = \frac{v}{f} \) OR \( 0.45 = 15 \times \lambda \) [1]; Correct numerical value with matching unit: \( 0.030\text{ m} \) or \( 3.0\text{ cm} \) [1] (b) Energy [1]
題目 5 · structured
2.67 分
A rigid cylinder with a fixed volume contains a sample of air.
(a) Describe how the air particles exert a pressure on the interior walls of the cylinder.
(b) The cylinder is heated, causing the temperature of the air to increase. Explain, in terms of particles, why the pressure inside the cylinder increases.
查看答案詳解收起答案詳解
解題
(a) The particles of gas are in continuous random motion and collide with the internal walls of the cylinder. Each collision exerts a force on the wall area, resulting in gas pressure (\( p = \frac{F}{A} \)).
(b) When heated, the temperature increases, so the particles gain kinetic energy and move faster. Consequently, the particles collide with the walls more frequently and with greater force/momentum change, leading to a greater total force per unit area and therefore higher pressure.
評分準則
(a) Particles collide with the walls of the container / cylinder [1]; Exerting a force (over an area) [1] (b) Particles move faster / have more kinetic energy AND collide with walls more often / more frequently (or with greater force) [1]
題目 6 · structured
2.67 分
A fishing boat uses ultrasound waves to determine the depth of the seabed.
(a) The speed of the ultrasound wave in seawater is \( 1500\text{ m/s} \) and its frequency is \( 50\text{ kHz} \) (\( 50\,000\text{ Hz} \)). Calculate the wavelength of this ultrasound wave.
(b) The sonar system detects the reflected echo from the seabed \( 0.16\text{ s} \) after the pulse is emitted. Calculate the depth of the seabed below the boat.
查看答案詳解收起答案詳解
解題
(a) Using the wave equation: \( \lambda = \frac{v}{f} = \frac{1500\text{ m/s}}{50\,000\text{ Hz}} = 0.030\text{ m} \)
(b) The total distance travelled by the pulse to the seabed and back is: \( d_{\text{total}} = v \times t = 1500\text{ m/s} \times 0.16\text{ s} = 240\text{ m} \) Depth is half of the total distance: \( \text{Depth} = \frac{240\text{ m}}{2} = 120\text{ m} \) Alternatively: \( t_{\text{one-way}} = \frac{0.16\text{ s}}{2} = 0.08\text{ s} \) \( \text{Depth} = 1500\text{ m/s} \times 0.08\text{ s} = 120\text{ m} \)
A laboratory trolley of mass \(0.60\text{ kg}\) accelerates uniformly from rest along a smooth horizontal track to a speed of \(5.0\text{ m/s}\) in a time of \(2.5\text{ s}\).
(a) Calculate the acceleration of the trolley.
(b) Calculate the kinetic energy of the trolley at \(5.0\text{ m/s}\).
(c) The trolley then travels up a smooth slope. Assuming no energy is transferred to the surroundings, calculate the maximum vertical height \(h\) reached by the trolley before it momentarily stops. (Take \(g = 9.8\text{ N/kg}\))
查看答案詳解收起答案詳解
解題
(a) Acceleration is given by: \[a = \frac{\Delta v}{t} = \frac{5.0 - 0}{2.5} = 2.0\text{ m/s}^2\]
(b) Kinetic energy is given by: \[E_k = \frac{1}{2}mv^2 = \frac{1}{2} \times 0.60\text{ kg} \times (5.0\text{ m/s})^2 = 0.30 \times 25 = 7.5\text{ J}\]
(c) By conservation of energy, maximum gravitational potential energy gained equals initial kinetic energy: \[\Delta E_p = mg\Delta h = E_k\] \[\Delta h = \frac{E_k}{mg} = \frac{7.5}{0.60 \times 9.8} = \frac{7.5}{5.88} \approx 1.28\text{ m} \text{ (or } 1.3\text{ m to 2 s.f.)}\]
評分準則
(a) \(a = \frac{\Delta v}{t}\) OR \(\frac{5.0}{2.5}\) [1]; \(2.0\text{ m/s}^2\) [1] (b) \(E_k = \frac{1}{2}mv^2\) OR \(\frac{1}{2} \times 0.60 \times 5.0^2\) AND \(7.5\text{ J}\) [1] (c) Use of \(\Delta E_p = mg\Delta h\) with \(E_p = 7.5\text{ J}\) (or ECF from (b)) leading to \(1.3\text{ m}\) or \(1.28\text{ m}\) [1]
題目 8 · structured
4 分
A motorised winch is used to lift a crate of mass \(80\text{ kg}\) vertically upwards. The crate is lifted at a constant speed of \(0.75\text{ m/s}\) for \(6.0\text{ s}\).
(a) (i) Calculate the vertical distance moved by the crate. (ii) Calculate the gain in gravitational potential energy of the crate. (Take \(g = 9.8\text{ N/kg}\))
(b) The electric motor powering the winch requires an input energy of \(4800\text{ J}\) during this time. Calculate the efficiency of the motor system.
查看答案詳解收起答案詳解
解題
(a) (i) Distance is given by: \[s = v \times t = 0.75\text{ m/s} \times 6.0\text{ s} = 4.5\text{ m}\]
(ii) Gravitational potential energy gain: \[\Delta E_p = mg\Delta h = 80\text{ kg} \times 9.8\text{ N/kg} \times 4.5\text{ m} = 3528\text{ J} \approx 3500\text{ J}\]
(b) Efficiency calculation: \[\text{Efficiency} = \frac{\text{useful energy output}}{\text{total energy input}} \times 100\%\] \[\text{Efficiency} = \frac{3528}{4800} \times 100\% = 73.5\% \text{ (or } 74\% \text{ to 2 s.f.)}\]
評分準則
(a)(i) \(s = v \times t = 0.75 \times 6.0 = 4.5\text{ m}\) [1] (a)(ii) \(\Delta E_p = mg\Delta h = 80 \times 9.8 \times 4.5\) [1]; \(3528\text{ J}\) or \(3500\text{ J}\) [1] (b) \(\frac{3528}{4800} \times 100\) (allow ECF from (a)(ii)) = \(73.5\%\) or \(74\%\) (or \(0.735\) / \(0.74\)) [1]
題目 9 · structured
4 分
A model vehicle of mass \(0.50\text{ kg}\) is released from rest at the top of a curved ramp at a vertical height of \(1.2\text{ m}\) above the ground.
(a) Calculate the decrease in gravitational potential energy of the vehicle as it moves to the bottom of the ramp. (Take \(g = 9.8\text{ N/kg}\))
(b) When the vehicle reaches the bottom of the ramp, its speed is \(4.2\text{ m/s}\). (i) Calculate the kinetic energy of the vehicle at the bottom of the ramp. (ii) Calculate the energy transferred to the surroundings due to resistive forces during the descent.