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CIE IGCSE·⚡ Physics·extended

CIE IGCSE Physics — Paper 4 (Extended Theory)

⏱ 75 minutes📊 80 marks📄 Paper 4 (Extended Theory)
📚 Subject revision notes↩ All exam papers
ℹ️ About this paper: This is an exam-board-aligned practice paper written in the style of CIE IGCSE— not an official past paper. Use it for timed practice, then check against the mark scheme included below. For official past papers, see the exam board's website.
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Total marks: 80 · Duration: 75 minutes · Tier: Extended

Instructions to candidates

  • Answer all questions.
  • Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
  • Write your answers in the spaces provided.
  • You may use a calculator.
  • In calculations, show your working and give the unit of your answer.
  • Where a question describes a graph, circuit or apparatus in words, you may find it helpful to sketch it.

Information

  • The total mark for this paper is 80.
  • The number of marks for each question or part question is shown in brackets.
  • This paper covers the Core and Supplement content of the Cambridge IGCSE Physics (0625) syllabus.
  • Take the acceleration of free fall g = 9.8 m/s².

Paper

Question 1 — Motion (8 marks)

A cyclist starts from rest and accelerates uniformly to 6.0 m/s in 4.0 s. She then travels at a constant 6.0 m/s for 10 s. Finally she decelerates uniformly and comes to rest in 3.0 s.

(a) Calculate her acceleration during the first 4.0 s. [2 marks]

(b) Use the area under the speed–time graph of the journey to calculate the total distance travelled. [3 marks]

(c) Calculate her average speed for the whole journey. [1 mark]

(d) A skydiver falls from a stationary balloon. Explain why the skydiver eventually reaches a constant (terminal) velocity. [2 marks]


Question 2 — Momentum and impulse (8 marks)

(a) Define impulse. [1 mark]

(b) A tennis ball of mass 0.058 kg travels towards a racket at 20 m/s. It leaves the racket in the opposite direction at 30 m/s. The ball is in contact with the racket for 0.0050 s.

(i) Calculate the change in momentum of the ball. [2 marks]

(ii) Calculate the average force exerted on the ball by the racket. [2 marks]

(c) Two ice skaters stand still, facing each other, and then push apart. Skater A has a mass of 60 kg and moves away at 1.5 m/s. Skater B has a mass of 45 kg.

Calculate the speed of skater B. [2 marks]

(d) Explain why the total momentum of the two skaters after they push apart is zero. [1 mark]


Question 3 — Work, power and energy resources (8 marks)

(a) An electric motor raises a lift of mass 650 kg through a height of 24 m in 30 s.

(i) Calculate the gravitational potential energy gained by the lift. [2 marks]

(ii) Calculate the useful power output of the motor. [1 mark]

(iii) The electrical power input to the motor is 8.0 kW. Calculate the efficiency of the motor. [2 marks]

(b) Describe how the energy used in a hydroelectric power station originally comes from the Sun. [3 marks]


Question 4 — Pressure and the kinetic particle model (8 marks)

(a) Calculate the pressure due to the water at the bottom of a lake 12 m deep. The density of water is 1000 kg/m³. [2 marks]

(b) A gas syringe contains 80 cm³ of air at a pressure of 1.0 × 10⁵ Pa. The air is compressed slowly to 32 cm³ at constant temperature. Calculate the new pressure. [2 marks]

(c) Explain, in terms of particles, how a gas exerts a pressure on the walls of its container. [2 marks]

(d) Explain why the pressure of a gas in a sealed, rigid container increases when its temperature increases. [2 marks]


Question 5 — Thermal physics (8 marks)

(a) A 2.4 kW electric kettle heats 1.2 kg of water from 20 °C to 100 °C. The specific heat capacity of water is 4200 J/(kg °C).

(i) Calculate the energy needed. [2 marks]

(ii) Calculate the time this takes, assuming no energy is lost to the surroundings. [1 mark]

(b) The kettle is left switched on for a further 60 s while the water boils. The specific latent heat of vaporisation of water is 2.26 × 10⁶ J/kg. Calculate the mass of water turned into steam. [2 marks]

(c) Explain, in terms of molecules, why evaporation cools the remaining liquid. [2 marks]

(d) Explain why the heating element of a kettle is placed at the bottom. [1 mark]


Question 6 — Light (9 marks)

The refractive index of a type of glass is 1.5.

(a) (i) Calculate the critical angle for light travelling from this glass into air. [2 marks]

(ii) Inside the glass, a ray of light strikes the glass–air boundary at an angle of incidence of 50°. State and explain what happens to the ray. [2 marks]

(b) A ray of light in air strikes the surface of the glass at an angle of incidence of 35°. Calculate the angle of refraction. [2 marks]

(c) An object is placed 25 cm from a converging lens of focal length 10 cm. State three characteristics of the image formed. [2 marks]

(d) Give one use of total internal reflection. [1 mark]


Question 7 — Sound and the electromagnetic spectrum (7 marks)

(a) A student stands 85 m from a tall wall and claps. The echo is heard 0.50 s after the clap. Calculate the speed of sound in air. [2 marks]

(b) (i) What is ultrasound? [1 mark]

(ii) Give one use of ultrasound. [1 mark]

(c) Name the region of the electromagnetic spectrum used for:

(i) mobile phones and wireless internet [1 mark]

(ii) detecting security marks on banknotes. [1 mark]

(d) The speed of electromagnetic waves in a vacuum is 3.0 × 10⁸ m/s. Calculate the wavelength of a radio wave with a frequency of 100 MHz. [1 mark]


Question 8 — Electric circuits (9 marks)

(a) Wire A is 1.0 m long and has a resistance of 4.0 Ω. Wire B is made of the same metal. It is 2.0 m long and has half the cross-sectional area of wire A. Calculate the resistance of wire B. [2 marks]

(b) A 12 V battery is connected in series with a 2.0 Ω resistor and a parallel combination of a 6.0 Ω resistor and a 3.0 Ω resistor.

(i) Calculate the combined resistance of the two resistors in parallel. [2 marks]

(ii) Calculate the current from the battery. [1 mark]

(iii) Calculate the current in the 6.0 Ω resistor. [2 marks]

(c) A potential divider is made from a thermistor in series with a fixed resistor. The output voltage is taken across the fixed resistor. Explain what happens to the output voltage when the temperature rises. [2 marks]


Question 9 — Electromagnetic effects (8 marks)

(a) A magnet is pushed into a coil of wire connected to a sensitive ammeter. The ammeter needle deflects.

(i) Explain why a current is produced. [2 marks]

(ii) State one way of making the needle deflect in the opposite direction. [1 mark]

(b) A transformer has 1200 turns on its primary coil. It changes a 240 V supply into a 12 V output.

(i) Calculate the number of turns on the secondary coil. [2 marks]

(ii) The current in the secondary coil is 2.0 A. The transformer is 100% efficient. Calculate the current in the primary coil. [2 marks]

(c) Explain why electrical energy is transmitted over long distances at a very high voltage. [1 mark]


Question 10 — Nuclear and space physics (7 marks)

(a) Radon-222 (proton number 86) decays by emitting an alpha particle to form an isotope of polonium (Po). Write the nuclear equation for this decay. [2 marks]

(b) The corrected count rate from a radioactive sample falls from 960 counts/min to 120 counts/min in 15 days. Calculate the half-life of the sample. [2 marks]

(c) The Hubble constant H₀ is 2.2 × 10⁻¹⁸ per second. A galaxy is 4.0 × 10²⁴ m from the Earth. Calculate the speed at which the galaxy is moving away from the Earth. [2 marks]

(d) Use the value of H₀ to estimate the age of the Universe in seconds. [1 mark]


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