An original Thinka practice paper modelled on the structure and difficulty of the Jun 2022 Pearson Edexcel GCSE Physics (1PH0) paper. Not affiliated with or reproduced from Pearson.
Paper 1F
Answer all questions. Write your answers in the spaces provided. Calculators may be used. An equation booklet is provided.
41 Question · 109 marks
Question 1 · multiple-choice
1 marks
Which type of radiation consists of high-energy electromagnetic waves?
A.Alpha particles
B.Beta-minus particles
C.Gamma rays
D.Neutron radiation
Show answer & marking schemeHide answer & marking scheme
Worked solution
Gamma rays are high-energy, high-frequency electromagnetic waves emitted from the nucleus of an unstable atom during radioactive decay.
Marking scheme
1 mark for the correct option (C).
Question 2 · multiple-choice
1 marks
A cyclist travels at a constant speed of \(6\text{ m/s}\) for \(20\text{ seconds}\). Calculate the distance travelled by the cyclist.
A.\(3.3\text{ m}\)
B.\(26\text{ m}\)
C.\(120\text{ m}\)
D.\(240\text{ m}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the equation: \(\text{distance} = \text{speed} \times \text{time}\), \(\text{distance} = 6\text{ m/s} \times 20\text{ s} = 120\text{ m}\).
Marking scheme
1 mark for the correct option (C).
Question 3 · multiple-choice
1 marks
Which of the following describes the life cycle of a star with a mass much larger than our Sun, after its main sequence phase?
A.Red giant, then white dwarf, then black dwarf
B.Red giant, then supernova, then neutron star
C.Red supergiant, then supernova, then neutron star or black hole
D.Red supergiant, then planetary nebula, then white dwarf
Show answer & marking schemeHide answer & marking scheme
Worked solution
A massive star expands into a red supergiant, explodes as a supernova, and the remaining core collapses into either a neutron star or a black hole, depending on its mass.
Marking scheme
1 mark for the correct option (C).
Question 4 · multiple-choice
1 marks
Which group of electromagnetic waves is used in thermal imaging cameras to detect people in the dark?
A.Infrared
B.Ultraviolet
C.X-rays
D.Radio waves
Show answer & marking schemeHide answer & marking scheme
Worked solution
Infrared radiation is emitted by warm objects like people. Thermal imaging cameras detect this radiation to create an image, even in total darkness.
Marking scheme
1 mark for the correct option (A).
Question 5 · multiple-choice
1 marks
An electric motor is used to lift a mass. The motor is supplied with \(200\text{ J}\) of electrical energy. It transfers \(140\text{ J}\) of useful gravitational potential energy to the mass. What is the efficiency of the motor?
A.\(0.30\)
B.\(0.60\)
C.\(0.70\)
D.\(1.43\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Efficiency is calculated using: \(\text{efficiency} = \frac{\text{useful energy transferred}}{\text{total energy supplied}}\). Substituting the values: \(\text{efficiency} = \frac{140\text{ J}}{200\text{ J}} = 0.70\).
Marking scheme
1 mark for the correct option (C).
Question 6 · Short Answer
2.5 marks
A cyclist travels a distance of 150 metres in 30 seconds. Calculate the average speed of the cyclist and state the unit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the equation: \( \text{average speed} = \frac{\text{distance}}{\text{time}} \). Substituting the given values: \( \text{average speed} = \frac{150}{30} = 5 \). The unit for speed is metres per second (m/s).
Marking scheme
- 1 mark for the correct equation: speed = distance / time (or \( v = d/t \)). - 1 mark for the correct numerical calculation: 5. - 0.5 marks for the correct unit: m/s (or metres per second).
Question 7 · Short Answer
2.5 marks
An electric motor is supplied with 200 J of electrical energy. It successfully transfers 80 J of useful gravitational potential energy to lift a weight. Calculate the efficiency of the motor.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the equation: \( \text{efficiency} = \frac{\text{useful energy transfer}}{\text{total energy input}} \). Substituting the given values: \( \text{efficiency} = \frac{80}{200} = 0.4 \) (or 40%).
Marking scheme
- 1 mark for the correct formula: efficiency = useful energy / total energy input. - 1 mark for the correct calculation: 0.4. - 0.5 marks for expressing the final answer correctly as a decimal (0.4) or as a percentage (40%).
Question 8 · Short Answer
2.5 marks
A water wave has a wavelength of 0.8 metres and a frequency of 5 Hz. Calculate the wave speed and state the correct unit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the wave equation: \( v = f \times \lambda \), where \( v \) is the wave speed, \( f \) is the frequency, and \( \lambda \) is the wavelength. Substituting the values: \( v = 5 \times 0.8 = 4 \text{ m/s} \).
Marking scheme
- 1 mark for selecting/recalling the wave equation: wave speed = frequency \( \times \) wavelength. - 1 mark for correct substitution and numerical calculation: 4. - 0.5 marks for the correct unit: m/s (or metres per second).
Question 9 · Short Answer
2.5 marks
Compare ultraviolet (UV) radiation and infrared (IR) radiation in terms of their frequency and wavelength. State clearly which has the higher frequency and which has the longer wavelength.
Show answer & marking schemeHide answer & marking scheme
Worked solution
In the electromagnetic spectrum, ultraviolet radiation has a shorter wavelength and a higher frequency than visible light, whereas infrared radiation has a longer wavelength and a lower frequency than visible light. Therefore, ultraviolet has the higher frequency and infrared has the longer wavelength.
Marking scheme
- 1 mark for stating that ultraviolet has a higher frequency than infrared (or infrared has a lower frequency than ultraviolet). - 1 mark for stating that infrared has a longer wavelength than ultraviolet (or ultraviolet has a shorter wavelength than infrared). - 0.5 marks for writing a clear, coherent comparison.
Question 10 · Short Answer
2.5 marks
The activity of a sample of a radioactive isotope falls from 800 Bq to 100 Bq over a period of 24 hours. Calculate the half-life of this isotope.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Determine the number of half-lives that have elapsed: \( 800 \rightarrow 400 \) (1 half-life), \( 400 \rightarrow 200 \) (2 half-lives), \( 200 \rightarrow 100 \) (3 half-lives). The total time is 24 hours. Therefore, 3 half-lives = 24 hours. Dividing the total time by the number of half-lives gives: \( 24 \div 3 = 8 \text{ hours} \).
Marking scheme
- 1 mark for showing that the sample activity halves 3 times to get from 800 Bq to 100 Bq. - 1 mark for dividing the total time of 24 hours by 3. - 0.5 marks for the correct final answer of 8 hours, including the correct unit.
Question 11 · Short Answer
2.5 marks
Explain the key difference between the geocentric model and the heliocentric model of the Solar System, and name one historical scientist associated with supporting the heliocentric model.
Show answer & marking schemeHide answer & marking scheme
Worked solution
The geocentric model describes the Earth as being at the centre of the Solar System, with the Sun and other planets orbiting it. The heliocentric model describes the Sun as being at the centre, with the Earth and other planets orbiting the Sun. Scientists such as Nicolaus Copernicus or Galileo Galilei provided crucial historical support for the heliocentric model.
Marking scheme
- 1 mark for identifying that the geocentric model is Earth-centred and the heliocentric model is Sun-centred. - 1 mark for correctly naming an associated historical scientist (e.g., Copernicus, Galileo, Kepler). - 0.5 marks for clear scientific explanation of the differences.
Question 12 · Short Answer
2.5 marks
A toy car of mass 0.5 kg is accelerated across a flat floor by a horizontal resultant force of 1.5 N. Calculate the acceleration of the toy car.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use Newton's second law: \( F = m \times a \). Rearranging for acceleration gives: \( a = \frac{F}{m} \). Substituting the given values: \( a = \frac{1.5}{0.5} = 3 \text{ m/s}^2 \).
Marking scheme
- 1 mark for selecting/rearranging the equation: \( a = F / m \) (or \( F = m \times a \)). - 1 mark for correct calculation: 3. - 0.5 marks for the correct unit of acceleration: \( \text{m/s}^2 \) (or metres per second squared).
Question 13 · Short Answer
2.5 marks
Describe the composition of an alpha particle and compare its ionizing power with that of a beta-minus particle.
Show answer & marking schemeHide answer & marking scheme
Worked solution
An alpha particle is identical to a helium nucleus and consists of 2 protons and 2 neutrons. Due to its larger mass and charge (+2), an alpha particle has a much higher ionizing power than a beta-minus particle, which is a fast-moving electron with a charge of -1 and very small mass.
Marking scheme
- 1 mark for stating that an alpha particle consists of 2 protons and 2 neutrons (or is a helium-4 nucleus). - 1 mark for stating that alpha particles have higher ionizing power than beta-minus particles. - 0.5 marks for logical connection of structure to ionization properties.
Question 14 · Short Answer
2.5 marks
Describe two differences between the orbit of a planet and the orbit of a comet in our Solar System.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Shape of orbit: Planets orbit the Sun in almost circular paths, whereas comets have highly elliptical (elongated or oval-shaped) orbits. 2. Orbital speed: A planet's speed remains relatively constant throughout its orbit, whereas a comet's speed varies greatly, speeding up as it gets closer to the gravitational pull of the Sun and slowing down as it moves away.
Marking scheme
Award 1 mark for describing the difference in orbit shapes (circular vs elliptical). Award 1 mark for describing the difference in speed variation (constant speed vs varying speed/faster near Sun). Award 0.5 marks for correct scientific vocabulary (e.g. elliptical, circular).
Question 15 · Short Answer
2.5 marks
A cyclist travels at a constant speed of \( 6.0\text{ m/s} \) for \( 45\text{ seconds} \). Calculate the distance travelled by the cyclist.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the equation for distance: \(\text{distance} = \text{speed} \times \text{time}\)
Substitute the given values into the equation: \(\text{distance} = 6.0\text{ m/s} \times 45\text{ s}\) \(\text{distance} = 270\text{ m}\)
Marking scheme
Award 1 mark for recalling or substituting into the correct formula: \(d = v \times t\). Award 1 mark for the correct numerical calculation of 270. Award 0.5 marks for including the correct unit (m or metres).
Question 16 · Short Answer
2.5 marks
Describe the structure of an alpha (\(\alpha\)) particle. State its charge and what it consists of.
Show answer & marking schemeHide answer & marking scheme
Worked solution
An alpha particle is identical to a helium nucleus. It is composed of 2 protons and 2 neutrons tightly bound together. Because it has 2 protons and no orbiting electrons, it carries a relative electric charge of \(+2\).
Marking scheme
Award 1 mark for stating that it consists of 2 protons and 2 neutrons (or is a helium nucleus). Award 1 mark for identifying the charge as +2 (or positive). Award 0.5 marks for identifying its overall mass number as 4.
Question 17 · Short Answer
2.5 marks
An electric motor is supplied with \( 200\text{ J} \) of electrical energy. It transfers \( 75\text{ J} \) of this energy into useful gravitational potential energy. Calculate the efficiency of the motor as a percentage.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the efficiency formula: \(\text{Efficiency} = \frac{\text{Useful energy transferred}}{\text{Total energy supplied}} \times 100\%\)
Award 1 mark for substituting values into the correct formula: \(75 / 200\). Award 1 mark for evaluating the calculation to 0.375 or 37.5. Award 0.5 marks for expressing the final answer as a percentage with the unit %.
Question 18 · Short Answer
2.5 marks
A water wave has a frequency of \( 4.0\text{ Hz} \). Explain what 'frequency of \( 4.0\text{ Hz} \)' means in terms of wave motion.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Frequency is defined as the number of complete wave cycles or oscillations that pass a given point per second. A frequency of \(4.0\text{ Hz}\) specifically means that exactly 4 complete waves pass a fixed point in one second.
Marking scheme
Award 1 mark for defining frequency as the number of waves/oscillations per unit of time. Award 1 mark for specifying the quantity '4 waves' and 'per second' (or 'every second'). Award 0.5 marks for specifying 'complete' waves or 'cycles' of oscillation.
Question 19 · Short Answer
2.5 marks
Explain one health hazard associated with overexposure to ultraviolet (UV) radiation, and state one way to reduce this risk.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Ultraviolet radiation carries high energy which can damage cellular DNA. This damage can cause sunburn, premature skin aging, or lead to mutations resulting in skin cancer (melanoma). It can also cause eye damage. To reduce this risk, you can apply sunscreen with a high SPF rating, wear UV-blocking sunglasses, or cover up with clothing and hats when outdoors.
Marking scheme
Award 1 mark for a correct health hazard (e.g., skin cancer, cataracts, sunburn, cellular DNA damage). Award 1 mark for a correct preventive measure (e.g., sunscreen, wearing protective sunglasses, hats, avoiding midday sun). Award 0.5 marks for explaining how the preventive measure reduces exposure (e.g., blocks/absorbs the UV rays).
Question 20 · Short Answer
2.5 marks
A student measures a distance as \( 8.5\text{ km} \). Convert this distance into the standard SI unit of metres, expressing your answer in standard form.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. The standard SI unit for distance is the metre (\(\text{m}\)). 2. Since \(1\text{ km} = 1000\text{ m}\), multiply the distance by 1000: \(8.5 \times 1000 = 8500\text{ m}\) 3. Convert 8500 into standard form (scientific notation): \(8500 = 8.5 \times 10^{3}\text{ m}\)
Marking scheme
Award 1 mark for converting kilometers to meters correctly (8500). Award 1 mark for writing the number in correct standard form (\(8.5 \times 10^3\)). Award 0.5 marks for including the correct unit 'm' or 'metres'.
Question 21 · Short Answer
2.5 marks
A toy car accelerates from rest (speed = \(0\text{ m/s}\)) to a speed of \(15\text{ m/s}\) in a time of \(6.0\text{ seconds}\). Calculate the acceleration of the toy car.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the equation for acceleration: \(a = \frac{v - u}{t}\) Where: \(v = 15\text{ m/s}\) (final velocity), \(u = 0\text{ m/s}\) (initial velocity), \(t = 6.0\text{ s}\) (time taken).
Award 1 mark for substituting values into the acceleration formula: \(\frac{15}{6.0}\). Award 1 mark for the correct calculation: 2.5. Award 0.5 marks for the correct unit of acceleration (\(\text{m/s}^2\) or \(\text{m/s/s}\)).
Question 22 · Short Answer
2.5 marks
A sample of a radioactive isotope contains 8000 unstable nuclei. The half-life of the isotope is 15 minutes. Calculate the number of unstable nuclei remaining in the sample after 45 minutes.
Show answer & marking schemeHide answer & marking scheme
Worked solution
To find the number of remaining nuclei, we first determine the number of half-lives that have passed in 45 minutes:
\(\text{Number of half-lives} = \frac{45\text{ minutes}}{15\text{ minutes}} = 3\)
Next, we halve the original number of unstable nuclei 3 times: - After 1 half-life: \(8000 \div 2 = 4000\) - After 2 half-lives: \(4000 \div 2 = 2000\) - After 3 half-lives: \(2000 \div 2 = 1000\)
Therefore, 1000 unstable nuclei remain.
Marking scheme
- **1 mark**: For calculating the number of half-lives (3). - **1 mark**: For showing a process of halving the starting value three times (e.g., 8000 -> 4000 -> 2000 -> 1000). - **0.5 marks**: For the correct final answer (1000).
Question 23 · Short Answer
2.5 marks
A water wave has a frequency of 5.0 Hz and a wavelength of 0.12 m. Calculate the speed of the wave. State the unit.
Show answer & marking schemeHide answer & marking scheme
- **1 mark**: For selecting/recalling the correct formula: wave speed = frequency x wavelength (\(v = f \lambda\)). - **1 mark**: For substituting the numbers correctly: \(5.0 \times 0.12\). - **0.5 marks**: For the correct final answer of 0.6 with the correct unit (m/s).
Question 24 · Short Answer
2.5 marks
Describe how a main sequence star like our Sun changes when it runs out of hydrogen in its core, and name the next stage of its life cycle.
Show answer & marking schemeHide answer & marking scheme
Worked solution
When a main sequence star of comparable mass to the Sun runs out of hydrogen fuel in its core, the inward force of gravity becomes greater than the outward pressure from fusion, causing the core to collapse. This increases the core temperature, triggering fusion in the outer shell. The outer layers of the star expand and cool, causing the star to transition into a red giant.
Marking scheme
- **1 mark**: For mentioning that the core collapses / fusion of hydrogen stops. - **1 mark**: For describing that the outer layers of the star expand and cool down. - **0.5 marks**: For naming the next stage as a 'red giant'.
Question 25 · Short Answer
2.5 marks
A ray of light travels from air into a glass block. Explain what happens to the speed and direction of the light ray as it enters the glass at an angle to the normal.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Glass is more optically dense than air. As a result, when light enters the glass, its speed decreases. Because the ray hits the boundary at an angle, the change in speed causes the wave boundary to rotate, bending the light ray towards the normal line.
Marking scheme
- **1 mark**: For stating that the speed of the light ray decreases. - **1 mark**: For stating that the ray bends towards the normal. - **0.5 marks**: For linking the bending of the light to the decrease in speed at the interface.
Question 26 · Short Answer
2.5 marks
An object of mass 12 kg is accelerated by a resultant force of 36 N. Calculate the acceleration of the object and state its unit.
Show answer & marking schemeHide answer & marking scheme
- **1 mark**: For rearranging Newton's second law to make acceleration the subject: \(a = F / m\). - **1 mark**: For substituting the correct values: \(36 / 12 = 3\). - **0.5 marks**: For the correct unit of acceleration (\(\text{m/s}^2\) or \(\text{m s}^{-2}\)).
Question 27 · Short Answer
2.5 marks
An electric motor is supplied with 250 J of electrical energy. It transfers 150 J of this energy into useful kinetic energy. Calculate the efficiency of the motor.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Efficiency is calculated using the formula:
\(\text{Efficiency} = \frac{\text{Useful energy output}}{\text{Total energy input}}\)
- **1 mark**: For recalling the correct efficiency formula: useful energy / total energy. - **1 mark**: For substituting the values correctly: \(150 / 250\). - **0.5 marks**: For the correct final efficiency value of 0.6 (or 60%).
Question 28 · Short Answer
2.5 marks
Compare an alpha particle and a beta-minus particle in terms of their ionizing power and penetration ability.
Show answer & marking schemeHide answer & marking scheme
Worked solution
An alpha particle is highly ionizing because it has a large mass and a charge of +2. Because of this high rate of ionization, it loses energy quickly and has a low penetration depth (stopped by a single sheet of paper). A beta-minus particle is less ionizing (moderate ionizing power) due to its smaller size and -1 charge, allowing it to penetrate further through materials (requiring a few millimeters of aluminum to stop it).
Marking scheme
- **1 mark**: For stating that alpha particles have higher ionizing power than beta-minus particles (or vice versa). - **1 mark**: For stating that beta-minus particles have greater penetration ability than alpha particles (or vice versa). - **0.5 marks**: For mentioning appropriate shielding materials as context (e.g., alpha stopped by paper/skin, beta stopped by aluminium).
Question 29 · Short Answer
2.5 marks
State the difference between transverse waves and longitudinal waves in terms of the direction of oscillations relative to the direction of energy transfer.
Show answer & marking schemeHide answer & marking scheme
Worked solution
In transverse waves, the oscillations of the particles or field are perpendicular (at right angles) to the direction of energy transfer (or wave propagation). In longitudinal waves, the oscillations are parallel (in the same direction) to the direction of energy transfer.
Marking scheme
- **1 mark**: For stating that transverse waves oscillate perpendicular to the direction of energy transfer. - **1 mark**: For stating that longitudinal waves oscillate parallel to the direction of energy transfer. - **0.5 marks**: For explicitly referencing 'energy transfer' or 'wave direction' in the comparisons.
Question 30 · Short Answer
2.5 marks
An astronaut has a mass of \(75\text{ kg}\). The gravitational field strength on the Moon is \(1.6\text{ N/kg}\). Calculate the weight of the astronaut on the Moon. State the unit in your answer.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the formula: weight = mass \(\times\) gravitational field strength. Weight = \(75\text{ kg} \times 1.6\text{ N/kg} = 120\text{ N}\).
Marking scheme
1 mark for selecting the correct equation and substituting the values: \(75 \times 1.6\). 1 mark for the correct calculation: 120. 0.5 marks for the correct unit: N (or Newtons).
Question 31 · Short Answer
2.5 marks
A small electric motor is used to lift a toy. The motor is supplied with \(120\text{ J}\) of electrical energy. Only \(48\text{ J}\) is transferred to useful kinetic and gravitational potential energy. Calculate the efficiency of the motor as a percentage or a decimal.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the formula: efficiency = useful energy transfer / total energy transfer. Efficiency = \(48 / 120 = 0.4\). To express this as a percentage: \(0.4 \times 100 = 40\%\).
Marking scheme
1 mark for substituting the correct values into the efficiency equation: \(48 / 120\). 1 mark for calculating the correct numerical value: 0.4 (or 40). 0.5 marks for clearly stating the correct unit or format (% or decimal).
Question 32 · Short Answer
2.5 marks
A water wave has a frequency of \(4\text{ Hz}\) and a wavelength of \(0.5\text{ m}\). Calculate the speed of the wave. State the unit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the wave speed equation: wave speed = frequency \(\times\) wavelength. Wave speed = \(4\text{ Hz} \times 0.5\text{ m} = 2\text{ m/s}\).
Marking scheme
1 mark for recall of formula or substituting correct values: \(4 \times 0.5\). 1 mark for correct calculation: 2. 0.5 marks for correct unit: m/s (or metres per second).
Question 33 · Short Answer
2.5 marks
Infrared radiation is a part of the electromagnetic spectrum. State one common use of infrared radiation and describe one danger associated with overexposure to it.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Infrared is commonly used in remote controls, thermal imaging cameras, heaters, or cooking. Overexposure to infrared radiation can cause heating of skin tissues, which can lead to skin burns.
Marking scheme
1 mark for a valid use (such as thermal imaging, remote controls, cooking, or heating). 1 mark for identifying the main danger of skin burns or heating of cells. 0.5 marks for clear explanation linking the danger to thermal effects.
Question 34 · Short Answer
2.5 marks
A radioactive isotope has a half-life of \(10\text{ minutes}\). A sample contains \(800\text{ counts per minute}\) initially. Calculate the expected count rate after \(30\text{ minutes}\) have passed.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Number of half-lives = \(30\text{ minutes} / 10\text{ minutes} = 3\) half-lives. After 1 half-life: \(800 / 2 = 400\). After 2 half-lives: \(400 / 2 = 200\). After 3 half-lives: \(200 / 2 = 100\) counts per minute.
Marking scheme
1 mark for identifying that 3 half-lives have passed (\(30 / 10 = 3\)). 1 mark for halving the initial activity three times (800 to 400 to 200 to 100). 0.5 marks for writing the correct unit: counts per minute (or cpm).
Question 35 · Short Answer
2.5 marks
State the main difference between the geocentric model and the heliocentric model of the Solar System, and name the key force that maintains the orbits of planets.
Show answer & marking schemeHide answer & marking scheme
Worked solution
In the geocentric model, the Earth is at the center of the solar system, whereas in the heliocentric model, the Sun is at the center. The gravitational force maintains the orbits of planets.
Marking scheme
1 mark for defining the difference (Earth at center for geocentric versus Sun at center for heliocentric). 1 mark for identifying gravity or gravitational force. 0.5 marks for clear communication and organization of the two parts.
Question 36 · Short Answer
2.5 marks
A toy car of mass \(0.5\text{ kg}\) is pushed with a resultant force of \(3\text{ N}\). Calculate the acceleration of the toy car and include the correct unit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use Newton's second law: Force = mass \(\times\) acceleration. Rearranging for acceleration gives: acceleration = Force / mass = \(3\text{ N} / 0.5\text{ kg} = 6\text{ m/s}^2\).
Marking scheme
1 mark for rearranging the formula or substitution (\(3 / 0.5\)). 1 mark for the correct value (6). 0.5 marks for the correct unit (\(\text{m/s}^2\) or metres per second squared).
Question 37 · Short Answer
2.5 marks
When mechanical components move against each other, energy is wasted. State two ways of reducing these unwanted energy transfers, and identify the main type of wasted energy produced by friction.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Unwanted energy transfers can be reduced by using lubrication (such as oil or grease) to reduce friction between moving parts, and by streamlining or polishing surfaces. The main type of wasted energy produced by friction is thermal (heat) energy.
Marking scheme
1 mark for identifying lubrication or another valid friction-reduction method. 1 mark for identifying thermal or heat energy. 0.5 marks for identifying a second valid reduction method (such as using rollers, bearings, or streamlining).
Question 38 · Extended Writing
6 marks
Explain how a teacher can safely demonstrate the different penetrating powers of alpha (\(\alpha\)), beta (\(\beta\)), and gamma (\(\gamma\)) radiation using radioactive sources, a detector, and various absorbers.
In your answer, you should: - Describe the experimental setup and how to test each radiation type. - Identify the materials needed to block or reduce each type of radiation. - Explain the safety precautions the teacher must take during the demonstration.
Show answer & marking schemeHide answer & marking scheme
Worked solution
To demonstrate the penetrating power: 1. **Background Radiation:** Set up the GM tube and counter. Measure the background count rate for a few minutes without any sources present. Subtract this value from subsequent readings. 2. **Testing Alpha (\(\alpha\)):** Place the alpha source near the GM tube. Note the high count rate. Place a sheet of paper between the source and the detector. The count rate drops back to background levels, showing alpha is absorbed by paper. 3. **Testing Beta (\(\beta\)):** Place the beta source near the GM tube. A sheet of paper will not significantly decrease the count rate, but placing a thin sheet of aluminium (2-5 mm) will reduce the count rate to background, showing beta is absorbed by aluminium. 4. **Testing Gamma (\(\gamma\)):** Place the gamma source near the GM tube. Paper and aluminium have little effect. Placing several centimetres of lead (or thick concrete) will significantly decrease the count rate, showing gamma is highly penetrating and only reduced by dense materials.
**Safety Precautions:** - Handle radioactive sources only with long tongs to increase distance. - Keep sources stored in lead-lined boxes when not in use. - Point sources away from students and the teacher's own body at all times. - Do not eat, drink, or smoke in the laboratory to avoid internal contamination. - Wear safety goggles and keep the exposure time as short as possible.
Marking scheme
**Level 1 (1–2 marks):** - Identifies some equipment used (e.g., GM tube, paper, lead) or mentions a basic safety rule (e.g., use tongs). - The answer lacks structure and shows limited understanding of how to systematically test the sources.
**Level 2 (3–4 marks):** - Describes how to test at least two of the radiation types using correct absorbers (e.g., paper for alpha, aluminium for beta). - Mentions at least one safety precaution and the need to measure background radiation. - The explanation is mostly structured and uses some scientific terms correctly.
**Level 3 (5–6 marks):** - Provides a detailed and clear experimental procedure for testing all three radiation types (alpha, beta, and gamma) with their correct absorbers (paper, aluminium, and lead respectively). - Explains how to account for background radiation (measuring and subtracting it). - Includes multiple relevant safety precautions (e.g., using tongs, keeping distance, lead storage, direction of sources). - The explanation is well-structured, logical, and uses appropriate scientific terminology throughout.
Question 39 · Extended Writing
6 marks
Earthquakes produce two main types of seismic waves that travel through the Earth: P-waves and S-waves.
Explain how the different properties and behavior of P-waves and S-waves provide evidence for the internal structure of the Earth, including the mantle and the core.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. **Wave Types and Properties:** - **P-waves (Primary waves):** Longitudinal waves where particles vibrate parallel to the direction of wave travel. They are faster than S-waves and can travel through both solids and liquids. - **S-waves (Secondary waves):** Transverse waves where particles vibrate perpendicular to the direction of wave travel. They are slower and can only travel through solid materials.
2. **Evidence for the Mantle and Outer Core:** - As seismic waves travel through the Earth, their paths bend (refract) gradually because the density of the mantle increases with depth, causing the wave speed to change continuously. - **S-wave shadow zone:** There is a large region on the side of the Earth opposite the earthquake's focus where no S-waves are detected. Because S-waves cannot travel through liquids, this shadow zone proves that the Earth has a liquid outer core. - **P-wave shadow zone:** P-waves are detected on the opposite side, but there is a band (between approx. 103 and 142 degrees) where no P-waves are detected. This is because P-waves refract sharply at the boundary between the solid mantle and the liquid outer core due to a sudden decrease in speed, creating a shadow zone.
3. **Evidence for the Inner Core:** - Weak P-waves detected within the P-wave shadow zone, along with detailed analysis of wave travel times, show that P-waves speed up again as they pass through the very centre of the Earth, providing evidence that the inner core is solid.
Marking scheme
**Level 1 (1–2 marks):** - Identifies at least one difference between P-waves and S-waves (e.g., longitudinal vs transverse, or different speeds). - States that they travel through the Earth or are used to study its structure, but with limited detail or explanation of the shadow zones.
**Level 2 (3–4 marks):** - Explains that S-waves cannot travel through liquids while P-waves can. - Links this property to the existence of a liquid core or the S-wave shadow zone. - Explains that wave paths bend/refract inside the Earth due to changing density/speed.
**Level 3 (5–6 marks):** - Clearly distinguishes between P-waves (longitudinal, travel through solids and liquids) and S-waves (transverse, only travel through solids). - Explains in detail how the S-wave shadow zone proves the outer core is liquid. - Explains how refraction of P-waves at the mantle-core boundary creates a P-wave shadow zone, showing a distinct boundary between the solid mantle and liquid core. - The response is highly detailed, logically structured, and uses accurate scientific terms (longitudinal, transverse, refraction, shadow zone).
Question 40 · Extended Writing
6 marks
A student wants to determine the efficiency of a small electric motor used to lift a weight.
Describe an experiment the student could perform to find the efficiency of the motor.
In your answer, you should: - List the measurements the student needs to take and the equipment used to take them. - Explain how the student would calculate the useful energy output, the total energy input, and the efficiency of the motor. - Suggest one way the student could improve the accuracy of their results.
Show answer & marking schemeHide answer & marking scheme
Worked solution
**Experimental Setup and Measurements:** 1. Set up the small electric motor to lift a known mass vertically using a string wound around its axle. 2. Measure the **mass** (\(m\)) of the weight using a mass balance. 3. Connect an **ammeter** in series with the motor to measure the current (\(I\)) and a **voltmeter** in parallel with the motor to measure the potential difference (\(V\)). 4. Measure the vertical **height** (\(h\)) the weight is lifted using a metre ruler. 5. Use a **stopwatch** to measure the time (\(t\)) taken for the weight to be lifted through this height.
**Calculations:** - **Useful energy output (gravitational potential energy gained by the mass):** \(E_{\text{out}} = m \times g \times h\) (where \(g = 10\text{ N/kg}\) or \(9.8\text{ N/kg}\)) - **Total electrical energy input:** \(E_{\text{in}} = V \times I \times t\) - **Efficiency:** \(\text{Efficiency} = \frac{\text{Useful energy output}}{\text{Total energy input}} = \frac{m \times g \times h}{V \times I \times t}\) To express this as a percentage, multiply the result by 100.
**Improving Accuracy:** - Measure the height from a clear starting point to a clear finishing point, keeping the ruler vertical and reading at eye level to avoid parallax error. - Repeat the experiment multiple times with the same mass and height, and calculate the mean current, voltage, and time to reduce random errors. - Minimize friction by ensuring the string is wound smoothly and does not slip on the motor spindle.
Marking scheme
**Level 1 (1–2 marks):** - Identifies some of the basic quantities to measure (e.g., mass, height, or time) or names some basic equipment (e.g., ruler, stopwatch). - Gives a simple formula for efficiency or work done, but lacks details on how to get all the terms.
**Level 2 (3–4 marks):** - Describes a workable experiment that includes measuring the mechanical aspect (mass, height) and the electrical aspect (current, voltage, time) using correct instruments. - Outlines how to calculate either the useful energy output or the total energy input correctly. - Suggests a basic way to improve accuracy.
**Level 3 (5–6 marks):** - Provides a complete, logical experimental procedure detailing all required measurements (mass, height, voltage, current, time) and the correct equipment for each. - Shows full calculations for both useful energy output (\(mgh\)) and electrical energy input (\(VIt\) or \(Pt\)), and the correct efficiency formula. - Offers a clear, practical method to improve accuracy (such as repeating and averaging, avoiding parallax error, or ensuring no string slippage). - Uses precise scientific vocabulary throughout.
Question 41 · Extended Writing
6 marks
Describe the differences between the electromagnetic waves used in a microwave oven (microwaves) and those used in a sunbed (ultraviolet).
In your answer, you should compare: - Their positions on the electromagnetic spectrum (frequency and wavelength relative to each other). - Their primary effects on human body tissue. - The hazards associated with overexposure to each type of wave.
Show answer & marking schemeHide answer & marking scheme
Worked solution
**1. Position on the Electromagnetic Spectrum:** - **Microwaves:** Located between radio waves and infrared waves. They have long wavelengths (typically millimetres to centimetres) and low frequencies. - **Ultraviolet (UV):** Located between visible light and X-rays. They have much shorter wavelengths and much higher frequencies than microwaves. - Therefore, UV waves carry significantly more energy per photon than microwaves.
**2. Effects on Human Body Tissue:** - **Microwaves:** Penetrate deeper into body tissues. They interact primarily with water molecules, causing them to vibrate and heat up (heating from the inside). - **Ultraviolet:** Do not penetrate deeply; they are mostly absorbed by the outer layers of the skin and eyes. Because UV has high energy, it can cause chemical changes in cells and ionize atoms/molecules.
**3. Hazards of Overexposure:** - **Microwaves:** Overexposure can cause internal heating of body tissues, potentially leading to deep tissue burns and organ damage without the surface skin showing immediate signs. - **Ultraviolet:** Overexposure causes sunburn (cell damage), premature aging of the skin (wrinkling), and damage to the eyes (such as cataracts). Critically, UV is ionizing or near-ionizing, meaning it can damage DNA in skin cells, leading to mutations that cause skin cancer.
Marking scheme
**Level 1 (1–2 marks):** - Identifies at least one difference in spectrum position (e.g., UV has higher frequency, or microwaves have longer wavelength). - Mentions a basic effect or hazard of either wave (e.g., UV causes sunburn or microwaves heat food/water).
**Level 2 (3–4 marks):** - Compares the positions of both waves on the EM spectrum correctly in terms of wavelength or frequency. - Describes the basic effect/hazard of both waves (e.g., microwaves cause internal heating; UV causes skin damage/cancer). - The response is structured but may lack depth in explaining *why* the hazards occur (e.g., connection to energy/penetration/ionization).
**Level 3 (5–6 marks):** - Provides a detailed comparison of their positions on the spectrum (both wavelength and frequency relationships clearly stated). - Explains the differing physical effects on tissue (microwaves penetrate and heat water internally; UV is absorbed on the skin surface and causes ionization/chemical changes). - Explicitly connects the hazards to these physical effects (microwaves cause internal burns; UV causes DNA damage/mutation leading to skin cancer, as well as cataracts and skin aging). - The explanation is highly structured, clear, and uses accurate physical terminology throughout.
Paper 2F
Answer all questions. Write your answers in the spaces provided. Calculators may be used. An equation booklet is provided.
41 Question · 102.39999999999998 marks
Question 1 · multiple-choice
1 marks
A student investigates how the resistance of a light-dependent resistor (LDR) changes with light intensity. Which statement describes the correct relationship?
A.As light intensity increases, the resistance of the LDR decreases.
B.As light intensity increases, the resistance of the LDR increases.
C.As light intensity increases, the resistance of the LDR remains constant.
D.As light intensity decreases, the resistance of the LDR decreases.
Show answer & marking schemeHide answer & marking scheme
Worked solution
An LDR (light-dependent resistor) has a resistance that decreases as the intensity of light falling on it increases. In bright light, its resistance is low, while in the dark, its resistance is very high.
Marking scheme
1 mark for selecting option A.
Question 2 · multiple-choice
1 marks
A student rubs a plastic rod with a dry cloth. The plastic rod becomes negatively charged. Which statement explains why the rod becomes negatively charged?
A.Electrons transfer from the cloth to the rod.
B.Protons transfer from the cloth to the rod.
C.Electrons transfer from the rod to the cloth.
D.Protons transfer from the rod to the cloth.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Charging by friction involves the transfer of negatively charged electrons. Protons are bound in the nucleus and cannot move. Since the rod becomes negatively charged, it must have gained electrons from the cloth.
Marking scheme
1 mark for selecting option A.
Question 3 · multiple-choice
1 marks
Absolute zero is the temperature at which the pressure of a gas becomes zero. What is absolute zero in degrees Celsius (\(^{\circ}\text{C}\))?
A.\(-273\ ^{\circ}\text{C}\)
B.\(0\ ^{\circ}\text{C}\)
C.\(100\ ^{\circ}\text{C}\)
D.\(-100\ ^{\circ}\text{C}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Absolute zero is the lowest possible temperature, defined as \(0\text{ K}\). On the Celsius scale, this temperature is equal to \(-273\ ^{\circ}\text{C}\).
Marking scheme
1 mark for selecting option A.
Question 4 · multiple-choice
1 marks
A spring has a spring constant of \(25\text{ N/m}\). A force is applied to the spring, causing it to extend by \(0.20\text{ m}\). What is the force applied to the spring?
A.\(5.0\text{ N}\)
B.\(125\text{ N}\)
C.\(0.008\text{ N}\)
D.\(2.5\text{ N}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the equation: force = spring constant \(\times\) extension. Calculating: \(25\text{ N/m} \times 0.20\text{ m} = 5.0\text{ N}\).
Marking scheme
1 mark for selecting option A.
Question 5 · multiple-choice
1 marks
A box is pushed a distance of \(8.0\text{ m}\) along a horizontal floor. The force applied to the box in the direction of movement is \(15\text{ N}\). Calculate the work done on the box.
A.\(1.875\text{ J}\)
B.\(23\text{ J}\)
C.\(120\text{ J}\)
D.\(960\text{ J}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the equation for work done: work done = force \(\times\) distance moved in direction of force. Calculating: \(15\text{ N} \times 8.0\text{ m} = 120\text{ J}\).
Marking scheme
1 mark for selecting option C.
Question 6 · multiple-choice
1 marks
Which statement describes the direction of magnetic field lines around a bar magnet?
A.They point from the south pole to the north pole.
B.They point from the north pole to the south pole.
C.They point in circles around each individual pole.
D.They point outwards in all directions from both poles.
Show answer & marking schemeHide answer & marking scheme
Worked solution
By convention, magnetic field lines outside a permanent bar magnet point from the north-seeking pole (north pole) to the south-seeking pole (south pole).
Marking scheme
1 mark for selecting option B.
Question 7 · multiple-choice
1 marks
Two identical resistors are connected in parallel to a \(6.0\text{ V}\) battery. What is the potential difference across each resistor?
A.\(3.0\text{ V}\)
B.\(6.0\text{ V}\)
C.\(12.0\text{ V}\)
D.\(0.0\text{ V}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
In a parallel circuit, the potential difference across each parallel branch is the same as the potential difference of the source. Therefore, each resistor has the full potential difference of \(6.0\text{ V}\) across it.
Marking scheme
1 mark for selecting option B.
Question 8 · Short Answer
2 marks
A student rubs a plastic rod with a dry cloth. The plastic rod becomes negatively charged. Explain, in terms of particles, how the plastic rod becomes negatively charged.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Rubbing the rod with the cloth causes friction. This friction transfers negatively charged electrons from the dry cloth to the plastic rod. Because the rod gains electrons, it becomes negatively charged.
Marking scheme
1 mark for stating that electrons are transferred. 1 mark for identifying that the transfer is from the cloth to the rod. (Do not accept transfer of positive charge or protons).
Question 9 · Short Answer
3 marks
A circuit contains a \(12\text{ V}\) battery connected in series with a \(15\ \Omega\) resistor and a \(25\ \Omega\) resistor. Calculate the current in the circuit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the total resistance of the series circuit: \(R_{\text{total}} = R_1 + R_2 = 15\ \Omega + 25\ \Omega = 40\ \Omega\). Next, use Ohm's law to find the current: \(I = \frac{V}{R} = \frac{12\text{ V}}{40\ \Omega} = 0.3\text{ A}\).
Marking scheme
1 mark for calculating the total resistance of the series circuit: \(40\ \Omega\). 1 mark for substituting values into Ohm's law: \(I = \frac{12}{40}\). 1 mark for the correct final answer of \(0.3\text{ A}\) (or with unit \(\text{A}\)).
Question 10 · Short Answer
2 marks
Describe two ways to increase the strength of the magnetic field produced by a solenoid.
Show answer & marking schemeHide answer & marking scheme
Worked solution
The magnetic field of a solenoid can be made stronger by either increasing the electrical current flowing through the wire, increasing the number of turns (coils) of the wire, or placing a magnetically soft iron core inside the solenoid.
Marking scheme
1 mark for any one of: increase the current, increase the voltage, increase the number of turns on the coil, add an iron core. 1 mark for a second correct method from the list.
Question 11 · Short Answer
3 marks
A piece of metal has a mass of \(240\text{ g}\) and a volume of \(30\text{ cm}^3\). Calculate the density of the metal in \(\text{kg/m}^3\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the density in \(\text{g/cm}^3\): \(\text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{240\text{ g}}{30\text{ cm}^3} = 8\text{ g/cm}^3\). Then convert \(\text{g/cm}^3\) to \(\text{kg/m}^3\) by multiplying by \(1000\): \(8 \times 1000 = 8000\text{ kg/m}^3\). Alternatively, convert the mass and volume to SI units first: \(m = 0.24\text{ kg}\) and \(V = 0.00003\text{ m}^3\), so \(\text{Density} = \frac{0.24}{0.00003} = 8000\text{ kg/m}^3\).
Marking scheme
1 mark for using the density formula correctly: \(\text{density} = \frac{\text{mass}}{\text{volume}}\). 1 mark for calculating the density in intermediate units (e.g., \(8\text{ g/cm}^3\)) or showing correct unit conversion factors. 1 mark for the correct final answer: \(8000\text{ kg/m}^3\).
Question 12 · Short Answer
3 marks
A spring has an original unstretched length of \(12\text{ cm}\). When a force of \(6.0\text{ N}\) is applied, the spring stretches to a total length of \(20\text{ cm}\). Calculate the spring constant of the spring in \(\text{N/m}\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the extension of the spring: \(x = 20\text{ cm} - 12\text{ cm} = 8\text{ cm}\). Convert the extension to meters: \(x = 0.08\text{ m}\). Next, use Hooke's law (\(F = k \cdot x\)) rearranged to solve for the spring constant (\(k\)): \(k = \frac{F}{x} = \frac{6.0\text{ N}}{0.08\text{ m}} = 75\text{ N/m}\).
Marking scheme
1 mark for calculating the extension of the spring: \(8\text{ cm}\) (or \(0.08\text{ m}\)). 1 mark for rearranging the formula to make \(k\) the subject and substituting values: \(k = \frac{6.0}{0.08}\). 1 mark for the correct final answer of \(75\text{ N/m}\). (Accept \(0.75\text{ N/cm}\) only if the unit is explicitly stated by the candidate).
Question 13 · Short Answer
2 marks
A crate is pulled along a flat horizontal floor with a force of \(150\text{ N}\) over a distance of \(12\text{ m}\). Calculate the work done in moving the crate.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the work done equation: \(\text{Work done} = \text{force} \times \text{distance}\) \(W = 150\text{ N} \times 12\text{ m} = 1800\text{ J}\) (or \(1.8\text{ kJ}\)).
Marking scheme
1 mark for substituting the values into the work done equation: \(150 \times 12\). 1 mark for the correct evaluation: \(1800\text{ J}\) (or \(1.8\text{ kJ}\)).
Question 14 · Short Answer
3 marks
A block of copper with a mass of \(0.50\text{ kg}\) is heated. The thermal energy supplied to the block is \(3850\text{ J}\). The specific heat capacity of copper is \(385\text{ J/kg}^\circ\text{C}\). Calculate the temperature rise of the copper block.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the equation for thermal energy: \(\Delta Q = m \cdot c \cdot \Delta \theta\) Rearrange the equation to solve for the change in temperature (\(\Delta \theta\)): \(\Delta \theta = \frac{\Delta Q}{m \cdot c}\) Substitute the values: \(\Delta \theta = \frac{3850}{0.50 \times 385} = \frac{3850}{192.5} = 20\text{ }^\circ\text{C}\).
Marking scheme
1 mark for correct rearrangement of the formula or substitution of values into the formula: \(3850 = 0.50 \times 385 \times \Delta \theta\). 1 mark for calculating the product of mass and specific heat capacity: \(192.5\). 1 mark for the correct calculation of temperature rise: \(20\text{ }^\circ\text{C}\).
Question 15 · Short Answer
2 marks
An electric kettle is connected to a \(230\text{ V}\) mains supply. The current through the heating element of the kettle is \(10\text{ A}\). Calculate the power of the kettle.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the electrical power formula: \(P = I \times V\) Substitute the given values: \(P = 10\text{ A} \times 230\text{ V} = 2300\text{ W}\) (or \(2.3\text{ kW}\)).
Marking scheme
1 mark for substituting values into the electrical power equation: \(10 \times 230\). 1 mark for the correct power value with units: \(2300\text{ W}\) (or \(2.3\text{ kW}\)).
Question 16 · Short Answer
2.3 marks
A resistor has a resistance of \( 15\ \Omega \). The potential difference across it is \( 6.0\ \text{V} \). Calculate the current in the resistor.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the equation: \( I = \frac{V}{R} \)
Substituting the values: \( I = \frac{6.0}{15} = 0.4\ \text{A} \)
Marking scheme
1.0 mark for correct substitution or rearrangement: \( \frac{6.0}{15} \) 1.3 marks for correct evaluation: \( 0.4\ \text{A} \) (accept 0.4)
Question 17 · Short Answer
2.3 marks
Explain, in terms of electrons, why a plastic rod becomes negatively charged when rubbed with a woollen cloth.
Show answer & marking schemeHide answer & marking scheme
Worked solution
When the rod is rubbed with the woollen cloth, friction causes electrons to move. Since electrons carry a negative charge, their transfer from the cloth to the rod results in the rod gaining a net negative charge.
Marking scheme
1.0 mark for stating that electrons are transferred from the cloth to the rod. 1.3 marks for explaining that electrons have a negative charge, so the addition of electrons causes the rod to become negatively charged.
Question 18 · Short Answer
2.3 marks
A block of wood has a mass of \( 240\ \text{g} \) and a volume of \( 300\ \text{cm}^3 \). Calculate the density of the wood in \( \text{g/cm}^3 \).
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the density equation: \( \text{density} = \frac{\text{mass}}{\text{volume}} \)
1.0 mark for the correct substitution: \( \frac{240}{300} \) 1.3 marks for the correct evaluation: \( 0.8 \) (accept \( 0.8\ \text{g/cm}^3 \))
Question 19 · Short Answer
2.3 marks
A spring extends by \( 0.05\ \text{m} \) when a force of \( 2.5\ \text{N} \) is applied. Calculate the spring constant of the spring.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using Hooke's Law equation: \( F = k \times x \)
Rearranging for the spring constant \( k \): \( k = \frac{F}{x} \)
Substituting the values: \( k = \frac{2.5}{0.05} = 50\ \text{N/m} \)
Marking scheme
1.0 mark for the correct rearrangement or substitution: \( \frac{2.5}{0.05} \) 1.3 marks for the correct evaluation: \( 50 \) (accept \( 50\ \text{N/m} \))
Question 20 · Short Answer
2.3 marks
A crane lifts a load by doing \( 4500\ \text{J} \) of work. The load is lifted through a vertical height of \( 15\ \text{m} \). Calculate the force exerted by the crane on the load.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the work done equation: \( W = F \times d \)
Rearranging for force \( F \): \( F = \frac{W}{d} \)
Substituting the values: \( F = \frac{4500}{15} = 300\ \text{N} \)
Marking scheme
1.0 mark for the correct rearrangement or substitution: \( \frac{4500}{15} \) 1.3 marks for the correct evaluation: \( 300 \) (accept \( 300\ \text{N} \))
Question 21 · Short Answer
2.3 marks
Describe how a student can use a plotting compass to show the magnetic field pattern around a bar magnet.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Place the bar magnet on a sheet of paper. Place a plotting compass near one of its poles. Mark dots on the paper at both ends of the compass needle. Move the compass so that one end of the needle points to the second dot, then mark the other end. Repeat this process until you reach the other pole, and connect the dots with a smooth line.
Marking scheme
1.0 mark for placing the compass near a pole and marking the direction of the needle/plotting dots. 1.3 marks for moving the compass from dot to dot and connecting the plotted points to draw a complete magnetic field line.
Question 22 · Short Answer
2.3 marks
State and explain what happens to the average speed of gas molecules when the temperature of the gas is increased.
Show answer & marking schemeHide answer & marking scheme
Worked solution
When the temperature of a gas is increased, thermal energy is transferred to the kinetic energy store of the gas molecules. Since kinetic energy is directly proportional to the square of the speed, the average speed of the gas molecules increases.
Marking scheme
1.0 mark for stating that the average speed increases. 1.3 marks for explaining that increasing temperature increases the average kinetic energy of the gas molecules.
Question 23 · Short Answer
2.3 marks
An electric kettle is connected to the \( 230\ \text{V} \) mains supply. The current in the heating element is \( 8.0\ \text{A} \). Calculate the electrical power of the kettle.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Using the electrical power equation: \( P = I \times V \)
Substituting the values: \( P = 8.0 \times 230 = 1840\ \text{W} \)
Marking scheme
1.0 mark for the correct substitution: \( 8.0 \times 230 \) 1.3 marks for the correct evaluation: \( 1840 \) (accept \( 1840\ \text{W} \) or \( 1.84\ \text{kW} \))
Question 24 · Short Answer
3 marks
A student uses an electric heater. A current of \(1.5\text{ A}\) flows through the heater for \(2.0\text{ minutes}\). Calculate the charge that flows through the heater during this time.
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, convert the time from minutes to seconds: \(2.0\text{ minutes} = 2.0 \times 60 = 120\text{ s}\). Next, use the charge formula: \(Q = I \times t\). Substitute the known values: \(Q = 1.5\text{ A} \times 120\text{ s} = 180\text{ C}\).
Marking scheme
1 mark for converting minutes to seconds (120 s). 1 mark for substitution of values: \(1.5 \times 120\). 1 mark for correct final answer of \(180\text{ C}\).
Question 25 · Short Answer
3 marks
A student measures the mass of a solid block as \(360\text{ g}\). The volume of the block is \(45\text{ cm}^3\). Calculate the density of the block. State the unit in your answer.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the formula: \(\text{density} = \frac{\text{mass}}{\text{volume}}\). Substitute the values: \(\text{density} = \frac{360\text{ g}}{45\text{ cm}^3} = 8\text{ g/cm}^3\).
Marking scheme
1 mark for correct substitution into density formula: \(\frac{360}{45}\). 1 mark for the calculated value of 8. 1 mark for the correct unit: \(\text{g/cm}^3\).
Question 26 · Short Answer
2 marks
A spring has a spring constant of \(25\text{ N/m}\). Calculate the force needed to extend the spring by \(0.12\text{ m}\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use Hooke's Law formula: \(F = k \times x\). Substitute the values: \(F = 25\text{ N/m} \times 0.12\text{ m} = 3\text{ N}\).
Marking scheme
1 mark for substitution: \(25 \times 0.12\). 1 mark for correct final answer: \(3\text{ N}\) (or \(3.0\text{ N}\)).
Question 27 · Short Answer
2 marks
Describe how a plotting compass can be used to show the direction of the magnetic field around a bar magnet.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Place the plotting compass near one of the poles of the bar magnet and mark the direction of the compass needle with a dot. Move the compass so that the opposite end of its needle aligns with the dot, and make a new mark. Repeat this process until you reach the other pole, then connect the dots to map the magnetic field line.
Marking scheme
1 mark for placing compass near a pole and marking the direction of the needle (e.g., drawing a dot). 1 mark for moving the compass to the next position / repeating to trace a complete line from North to South.
Question 28 · Short Answer
2 marks
An insulating plastic rod is rubbed with a dry cloth. The plastic rod becomes negatively charged. Explain, in terms of electrons, how the rod becomes negatively charged.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Friction between the cloth and the plastic rod transfers electrons from the cloth to the rod. Since electrons carry a negative charge, this excess of electrons results in the rod gaining a net negative charge.
Marking scheme
1 mark for stating that electrons are transferred from the cloth to the rod (or rod gains electrons). 1 mark for explaining that electrons have a negative charge, leading to a negative overall charge on the rod. Do not accept 'protons move'.
Question 29 · Short Answer
2 marks
A box is pushed a distance of \(4.5\text{ m}\) across a floor by a constant horizontal force of \(60\text{ N}\). Calculate the work done on the box.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the work done formula: \(\text{work done} = \text{force} \times \text{distance}\). Substitute the values: \(\text{work done} = 60\text{ N} \times 4.5\text{ m} = 270\text{ J}\).
Marking scheme
1 mark for correct substitution: \(60 \times 4.5\). 1 mark for correct answer: \(270\text{ J}\) (accept \(270\text{ N m}\)).
Question 30 · Short Answer
3 marks
A student connects two resistors, \(15\,\Omega\) and \(30\,\Omega\), in series with a \(9.0\text{ V}\) battery. Calculate the total current in the circuit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Calculate the total resistance first: \(R = 15 + 30 = 45\,\Omega\). Then use Ohm's law to find the current: \(I = \frac{V}{R} = \frac{9.0\text{ V}}{45\,\Omega} = 0.2\text{ A}\).
Marking scheme
1 mark for calculating the total resistance as \(45\,\Omega\). 1 mark for correct substitution into the current equation: \(\frac{9.0}{45}\). 1 mark for correct answer: \(0.2\text{ A}\) (or \(0.20\text{ A}\)).
Question 31 · Short Answer
2 marks
Calculate the energy required to melt \(0.35\text{ kg}\) of ice at \(0\text{ ^\circ C}\) without changing its temperature. The specific latent heat of fusion of ice is \(3.34 \times 10^5\text{ J/kg}\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the formula: \(E = m \times L\). Substitute the given values: \(E = 0.35\text{ kg} \times 3.34 \times 10^5\text{ J/kg} = 116,900\text{ J}\) (or \(1.17 \times 10^5\text{ J}\)).
Marking scheme
1 mark for correct substitution: \(0.35 \times 3.34 \times 10^5\). 1 mark for correct final answer: \(116,900\text{ J}\) (accept \(117,000\text{ J}\) or \(1.17 \times 10^5\text{ J}\)).
Question 32 · Short Answer
2 marks
A student builds a circuit with a battery and a resistor. The current through the resistor is \(0.4\text{ A}\) and the potential difference across it is \(6.0\text{ V}\). Calculate the resistance of the resistor. State the unit.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Use the equation \(V = I \times R\). Rearranging for resistance gives \(R = \frac{V}{I}\). Substituting the values: \(R = \frac{6.0}{0.4} = 15\ \Omega\).
Marking scheme
1 mark for correct substitution: \(R = \frac{6.0}{0.4}\). 1 mark for correct value with unit: \(15\ \Omega\) (accept ohms).
Question 33 · Short Answer
3 marks
A sealed cylinder contains a fixed mass of gas at a temperature of \(20\ ^\circ\text{C}\). Explain, in terms of particles, why heating the gas inside the cylinder causes the pressure to increase.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Heating the gas increases its thermal energy store, which increases the average kinetic energy of the particles. This causes them to move faster. As a result, they collide with the walls of the cylinder more frequently and with greater force, increasing the pressure.
Marking scheme
1 mark for stating that particles gain kinetic energy or move faster. 1 mark for stating that particles collide with the walls of the cylinder more frequently. 1 mark for stating that particles collide with greater force or change of momentum.
Question 34 · Short Answer
2 marks
A spring has an unstretched length of \(12\text{ cm}\). When a force of \(4.5\text{ N}\) is applied to the spring, its length increases to \(18\text{ cm}\). Calculate the spring constant of the spring in \(N/m\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the extension \(x\) of the spring: \(x = 18\text{ cm} - 12\text{ cm} = 6\text{ cm} = 0.06\text{ m}\). Then, use Hooke's Law \(F = k \times x\) and rearrange to find the spring constant: \(k = \frac{F}{x} = \frac{4.5\text{ N}}{0.06\text{ m}} = 75\text{ N/m}\).
Marking scheme
1 mark for calculating the extension in metres: \(0.06\text{ m}\). 1 mark for correct calculation of spring constant: \(75\text{ N/m}\).
Question 35 · Short Answer
2 marks
A student rubs a plastic rod with a dry cloth. The plastic rod becomes negatively charged. Explain, in terms of electron transfer, how the plastic rod becomes negatively charged.
Show answer & marking schemeHide answer & marking scheme
Worked solution
When the plastic rod is rubbed with the dry cloth, friction causes electrons to move. Protons cannot move as they are bound in the nucleus. Electrons are transferred from the cloth to the plastic rod. Because electrons are negatively charged, the plastic rod ends up with an excess of negative charge.
Marking scheme
1 mark for stating that electrons are transferred from the cloth to the rod. 1 mark for identifying that gaining electrons gives the rod a net negative charge.
Question 36 · Short Answer
3 marks
A straight wire carrying a current is placed in a uniform magnetic field between two magnetic poles, causing it to experience a force due to the motor effect. State three ways to increase the magnitude of this electromagnetic force on the wire.
Show answer & marking schemeHide answer & marking scheme
Worked solution
The force on a current-carrying wire in a magnetic field is determined by \(F = B \times I \times l\). To increase this force, you can: 1) Increase the current in the wire; 2) Use stronger magnets to increase the magnetic field strength; 3) Increase the length of the wire inside the magnetic field.
Marking scheme
1 mark for: increase the current (or voltage/potential difference). 1 mark for: use stronger magnets (or increase magnetic field strength). 1 mark for: increase the length of the wire in the field (or increase the number of turns/coils).
Question 37 · Short Answer
2 marks
An electric motor is used to lift a crate of mass \(15\text{ kg}\) vertically upwards through a height of \(4.0\text{ m}\). Calculate the work done by the motor against gravity. (gravitational field strength, \(g = 10\text{ N/kg}\))
Show answer & marking schemeHide answer & marking scheme
Worked solution
The work done against gravity is equal to the gain in gravitational potential energy: \(E_p = m \times g \times h\). Substituting the values: \(E_p = 15\text{ kg} \times 10\text{ N/kg} \times 4.0\text{ m} = 600\text{ J}\).
Marking scheme
1 mark for correct substitution: \(15 \times 10 \times 4.0\). 1 mark for correct evaluation with units: \(600\text{ J}\) (accept 600).
Question 38 · Extended Writing
6 marks
A student has a sealed metal container filled with gas. Describe, in terms of the motion and behavior of particles, how the gas exerts a pressure on the walls of the container. Explain how and why this pressure changes when the temperature of the gas is increased, keeping the volume of the container constant.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Pressure is caused by gas particles in rapid, random motion colliding with the inside walls of the container. 2. Each collision exerts a force on the wall of the container. The overall pressure is the sum of these forces divided by the total area of the walls. 3. When the gas is heated, thermal energy is transferred to the kinetic energy of the particles, causing them to move faster on average. 4. Since the volume is constant, the faster-moving particles collide with the walls more frequently. 5. They also hit the walls with greater force during each collision. 6. As a result, the total force exerted on the walls increases, which increases the pressure.
Marking scheme
Level 1 (1-2 marks): Identifies that particles hit the walls or that higher temperature causes higher pressure. Minimal scientific terminology used. Level 2 (3-4 marks): Explains either how pressure is produced (collisions exerting force) or how temperature increases pressure (faster particles colliding more frequently/harder). Level 3 (5-6 marks): Gives a full and detailed explanation linking particle collisions to pressure, and explains both increased frequency and force of collisions due to higher temperature at constant volume.
Question 39 · Extended Writing
6 marks
Describe a practical investigation that a student could carry out to find out how the electrical resistance of a thermistor varies as its temperature changes from \( 20\,^{o}\text{C} \) to \( 80\,^{o}\text{C} \). In your answer, you should describe: the circuit used, the measurements to be taken, and how the temperature is safely changed and measured.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Set up a circuit containing a thermistor, an ammeter in series, and a power supply. Connect a voltmeter in parallel across the thermistor. 2. Place the thermistor in a beaker of water (water bath) along with a thermometer. 3. Measure the initial temperature of the water, the current \( I \) from the ammeter, and the potential difference \( V \) from the voltmeter. 4. Gently heat the beaker of water using a Bunsen burner or electric heater. Measure the temperature, current, and potential difference at regular intervals (e.g., every \( 10\,^{o}\text{C} \)) up to \( 80\,^{o}\text{C} \). 5. For each temperature, calculate the resistance \( R \) of the thermistor using the equation \( R = V / I \). 6. Plot a graph of resistance against temperature to show the relationship (resistance decreases as temperature increases).
Marking scheme
Level 1 (1-2 marks): Simple description of setup or mentions measuring temperature and resistance. Major gaps in practical detail. Level 2 (3-4 marks): Describes a clear method including a circuit setup to measure current and potential difference, and a way to change the temperature of the thermistor. Level 3 (5-6 marks): Detailed and logical method including correct electrical connections (ammeter series, voltmeter parallel), controlled temperature range (using a water bath up to \( 80\,^{o}\text{C} \)), specific data to record, and clear instruction on calculating resistance using \( R = V / I \).
Question 40 · Extended Writing
6 marks
Electrostatic spray painting is a process used in manufacturing to paint metal items such as bicycle frames. Explain how electrostatic charging of both the paint droplets and the metal frame ensures that the paint is distributed evenly, coats all surfaces of the frame, and minimizes waste.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. The nozzle of the spray gun gives the paint droplets a specific electrostatic charge (e.g., positive). 2. Because all the paint droplets carry the same charge, they repel each other. This causes the spray to spread out into a very fine, even mist. 3. The metal bicycle frame is given an opposite charge (e.g., negative) or is earthed. 4. The charged paint droplets are electrostatically attracted to the oppositely charged metal frame. 5. This attraction is strong enough to pull paint droplets towards the back and sides of the frame (the 'shadow' zones), ensuring complete and even coverage. 6. Very little paint misses the target or floats away, which significantly reduces the amount of paint wasted.
Marking scheme
Level 1 (1-2 marks): States that static electricity or charges attract the paint to the frame. Simple, isolated statements. Level 2 (3-4 marks): Explains either the repulsion between droplets (leading to even spray) or the attraction between droplets and the frame (leading to coverage). Level 3 (5-6 marks): Comprehensive explanation of both effects: like charges repelling to produce a fine mist, and opposite charges attracting to ensure full coverage (even on hidden surfaces) and minimize paint waste.
Question 41 · Extended Writing
6 marks
Describe an experiment to investigate how the extension of a helical spring varies with the force applied to it. Your description should include: the apparatus needed and how it is set up, the measurements to be taken, and how to use these measurements to determine if the spring behaves elastically.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Set up a clamp stand with a boss and clamp. Hang the helical spring from the clamp, and set up a vertical meter ruler close to the spring. 2. Record the initial position of the bottom of the spring on the ruler (or use a pointer to read the initial length of the unstretched spring). 3. Add a known mass (e.g., \( 100\,\text{g} \), which exerts a force of approximately \( 1\,\text{N} \)) to the mass hanger at the bottom of the spring. 4. Read the new position of the bottom of the spring and calculate the extension (extension = stretched length minus original length). 5. Repeat this process by adding further masses one at a time, recording the new extension for each load. 6. Plot a graph of force (weight) against extension. If the line is straight and passes through the origin, the extension is directly proportional to the force. To check for elastic behavior, ensure that when all weights are removed, the spring returns to its original length.
Marking scheme
Level 1 (1-2 marks): Identifies basic apparatus or describes adding weights and measuring length. Lacks systematic detail on calculating extension. Level 2 (3-4 marks): Describes a clear experimental procedure, including measuring original and final lengths to find extension, repeating for different weights, and plotting a graph. Level 3 (5-6 marks): Detailed, logical method including vertical alignment of ruler/pointer, calculation of extension, plotting a force-extension graph, and clearly explaining how to verify elastic behavior (linear graph and returning to original length).
Wondering how well you actually know this?
Thinka is an AI practice app for DSE students — unlimited questions, instant auto-marking, and detailed step-by-step solutions. 100,000+ students use it to confirm they actually know it, not just think they do.