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IGCSE Physics 0625 Paper 4 Theory Extended Solved May/Jun 2026

Cambridge IGCSE™ PHYSICS 0625/42

Solved Mark Scheme Paper 4 Theory (Extended) 42 — May/June 2026
Duration: 1 hour 15 minutes
Total Marks: 80

 

Question 1

(a) Speed–Time Graph Analysis  [cite: 2]

(i) Motion descriptions:

  • A and B: Constant acceleration   [cite: 1]
  • C and D: Constant speed / velocity   [cite: 1]
  • D and E: Increasing deceleration   [cite: 1]

(ii) Calculate the distance travelled between time t = 0 and time t = 18 s:

Distance = Area under graph = ½ × 18 s × 14 m/s = 126 m ≈ 130 m     [cite: 1]

distance = 130 m     [cite: 1]

(b) Vectors & Scalars     [cite: 2]

(i) Definition complete sentence: A vector quantity has magnitude (size) and direction   [cite: 1].

(ii) Vector quantities from list  [cite: 2]:

  • acceleration  [cite: 1]
  • mass
  • electric field strength    [cite: 1]
  • time
  • weight     [cite: 1]
  • energy

Question 2

(a) Satellite Orbit & Rocket Acceleration    [cite: 2]

(i) Direction of force on satellite: Perpendicular to motion / towards the centre of the orbit  [cite: 1].

(ii) Initial acceleration calculation:

Resultant force F = Rocket thrust – Weight
F = (1.9 × 10⁵ N) – (1.5 × 10⁴ kg × 9.8 N/kg) = 43 000 N   [cite: 1]
Acceleration a = F / m = 43 000 N / (1.5 × 10⁴ kg) = 2.867 m/s² ≈ 2.9 m/s²   [cite: 1]

acceleration = 2.9 m/s²   [cite: 1]

(b) Pressure & Temperature Conversion  [cite: 2]

(i) Pressure in terms of particles   [cite: 2]: Helium gas particles move rapidly and collide with the inside walls of the balloon  [cite: 1]. These collisions exert a force per unit area, which generates pressure   [cite: 1].

(ii) Temperature conversion (228 K to °C)   [cite: 2]:

Temperature in °C = 228 – 273 = -45 °C   [cite: 1]

temperature = -45 °C   [cite: 1]

Question 3

(a) Electric Shower Thermal Energy   [cite: 2]

(i) Mass of water proof   [cite: 2]:

Mass = Density × Volume = 1000 kg/m³ × (0.0045 m³/min × 4.0 min) = 18 kg    [cite: 1]

(ii) Required energy calculation   [cite: 2]:

ΔT = 38 °C – 15 °C = 23 °C    [cite: 1]
E = m × c × ΔT = 18 kg × 4200 J/(kg °C) × 23 °C = 1.7388 × 10⁶ J ≈ 1.7 × 10⁶ J    [cite: 1]

energy = 1.7 × 10⁶ J       [cite: 1]

(iii) Power transferred calculation    [cite: 2]:

Time t = 4.0 min = 240 s
Power P = E / t = 1.7 × 10⁶ J / 240 s = 7083 W ≈ 7100 W     [cite: 1]

power = 7100 W      [cite: 1]

(b) Shower Temperature Variance     [cite: 2]

Reason for higher water temperature: Initial inlet temperature of the water increased OR water flow rate decreased      [cite: 1].

Question 4

(a) Impulse Definition     [cite: 2]

Impulse is defined as force × time (or change in momentum)     [cite: 1].

(b) Landing Mechanics & Pressure    [cite: 2]

(i) Resultant force calculation   [cite: 2]:

F = Δp / t = (55 kg × 4.6 m/s) / 0.95 s = 253 / 0.95 = 266.3 N ≈ 270 N     [cite: 1]

resultant force = 270 N    [cite: 1]

(ii) Function of bending knees    [cite: 2]: Bending knees increases the time taken to stop moving   [cite: 1]. For the same change in momentum (impulse)   [cite: 1], an increased stopping time reduces the resultant force on the student  [cite: 1].

(iii) Pressure calculation   [cite: 2]:

Pressure = Force / Area = 530 N / 380 cm² = 1.395 N/cm² ≈ 1.4 N/cm²   [cite: 1]

pressure = 1.4 | unit = N/cm²   [cite: 1]

Question 5

(a) Evaporative Cooling Mechanism   [cite: 2]

Thermal energy transfers from skin to water  [cite: 1]. The most energetic (fastest) water molecules evaporate from the liquid surface  [cite: 1]. The remaining water molecules have a lower average kinetic energy, lowering the temperature of the remaining water and cooling the skin  [cite: 1].

(b) Evaporation Factors  [cite: 2]

  1. Air temperature  [cite: 1]
  2. Wind speed / air movement (or surface area / humidity)  [cite: 1]

Question 6

(a) Principal Focus Definition  [cite: 2]

The principal focus of a lens is a point on the principal axis where rays parallel to the principal axis converge after passing through the lens   [cite: 1].

(b) Ray Diagram Construction  [cite: 2]

  • Ray 1: Parallel to principal axis from top of object O to lens center, refracting through principal focus F on the right   [cite: 1].
  • Ray 2: Straight line from top of object O through optical center of lens without bending  [cite: 1].
  • Image: Inverted arrow drawn from principal axis to the intersection point, labeled I  [cite: 1].

(c) Electromagnetic Spectrum  [cite: 2]

Region with lowest frequency: Radio waves  [cite: 1]

Question 7

(a) Loudspeaker & Sound Wavelength   [cite: 2]

(i) Complete sentences   [cite: 2]:

A changing magnetic field is produced by the alternating current (a.c.) in the coil   [cite: 1]. This magnetic field interacts with the magnetic field due to the (permanent) magnet   [cite: 1]. This causes the cone to vibrate. The vibration of the cone / air particles transfers energy to a student as sound   [cite: 1].

(ii) Wavelength calculation   [cite: 2]:

Wavelength λ = v / f = 340 m/s / 440 Hz = 0.7727 m ≈ 0.77 m   [cite: 1]

wavelength = 0.77 | unit = m   [cite: 1]

(b) Ultrasound Definition   [cite: 2]

Sound waves with a frequency higher than 20 000 Hz (20 kHz), above the upper limit of human hearing    [cite: 1].

Question 8

(a) Electric Fields   [cite: 2]

(i) Definition   [cite: 2]: An electric field is a region where an electric charge / charged particle experiences an electrostatic force  [cite: 1].

(ii) Field lines between parallel plates  [cite: 2]: 4 straight, parallel, evenly spaced lines perpendicular to the plates, with arrows pointing upwards (from positive to negative plate)  [cite: 1].

(b) Relay Circuit & Charge   [cite: 2]

(i) Component X  [cite: 2]: Fuse  [cite: 1]

(ii) Explanation sentences  [cite: 2]: When the temperature of the thermistor increases, the resistance of the thermistor decreases  [cite: 1]. This causes the p.d. across the relay coil to increase   [cite: 1]. The magnetic field produced by the relay coil gets stronger  [cite: 1]. The relay coil attracts the switch / iron armature, which causes the lamp to light  [cite: 1].

(iii) Charge calculation   [cite: 2]:

Q = I × t = 3.2 A × 120 s = 384 C ≈ 380 C   [cite: 1]

charge = 380 C  [cite: 1]

Question 9

(a) Isotopes & Radioactive Decay   [cite: 2]

(i) Nuclear composition   [cite: 2]:

  • Similarity: Same number of protons   [cite: 1]
  • Difference: Different number of neutrons   [cite: 1]

(ii) Sketch graph   [cite: 2]: Smooth curve starting at (0 yr, 16 µg), passing through (5700 yr, 8 µg) and (11400 yr, 4 µg)   [cite: 1].

(b) Environmental Radiation   [cite: 2]

Ionising nuclear radiation that is always present in the environment is known as background radiation   [cite: 1].

(c) Background Source   [cite: 2]

Radon gas (or rocks / building materials / cosmic rays)  [cite: 1].

Question 10

(a) Nuclear Fission & Power Generation  [cite: 2]

(i) Fission process  [cite: 2]: A slow-moving neutron collides with and is absorbed by a heavy nucleus  [cite: 1]. The nucleus splits into two smaller daughter nuclei, releasing neutrons and large amounts of kinetic and thermal energy  [cite: 1].

(ii) Complete sentences  [cite: 2]: Thermal energy is used to heat water to produce steam at high pressure  [cite: 1]. This drives a turbine connected to a generator  [cite: 1].

(iii) Solar vs Nuclear comparison  [cite: 2]:

  • Advantage: Reliable, continuous power supply unaffected by weather / day-night cycles  [cite: 1].
  • Disadvantage: Produces radioactive waste requiring safe, long-term disposal  [cite: 1].

(b) Non-Solar Energy Source  [cite: 2]

Tidal energy or Geothermal energy   [cite: 1].

Question 11

(a) Astronomical Timescales Matching   [cite: 2]

  • Earth orbits the Sun once ➔ 365 days  [cite: 1]
  • Earth rotates once on its axis ➔ 24 hours  [cite: 1]
  • Light travels from Sun to Earth ➔ 8.3 minutes  [cite: 1]
  • Moon orbits the Earth once ➔ 1 month  [cite: 1]

(b) Orbital Period of Jupiter Proof   [cite: 2]

Orbital distance d = 2 × π × r = 2 × π × (7.78 × 10⁸ km) = 4.8883 × 10⁹ km   [cite: 1]
Time T in hours = d / v = 4.8883 × 10⁹ km / (4.70 × 10⁴ km/h) = 104 007 hours   [cite: 1]
Time T in years = 104 007 / (24 × 365) = 11.87 years ≈ 11.9 years   [cite: 1]

(c) Light-Year & Galactic Speed   [cite: 2]

(i) Light-year definition  [cite: 2]: The distance travelled by light in a vacuum in one year  [cite: 1].

(ii) Galactic recession speed calculation  [cite: 2]:

1 light-year = 3.0 × 10⁸ m/s × 31 536 000 s = 9.46 × 10¹⁵ m  [cite: 1]
Distance d = 1.6 × 10⁸ × 9.46 × 10¹⁵ m = 1.5136 × 10²⁴ m   [cite: 1]
Speed v = H₀ × d = (2.2 × 10⁻¹⁸ s⁻¹) × (1.5136 × 10²⁴ m) = 3.33 × 10⁶ m/s ≈ 3.3 × 10⁶ m/s   [cite: 1]

speed = 3.3 × 10⁶ m/s  [cite: 1]

 

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