2022 Physics 9702 Paper 13


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This page covers Questions and Worked Solutions for Physics 9702 Paper 13 October 2022, 9702/13.

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2022 Physics 9702 Paper 13 (pdf)

  1. Which pair of quantities are physical quantities?
  2. Which list of unit prefixes decreases in magnitude from left to right?
  3. The drag coefficient Cd is a number with no units. It is used to compare the drag on different cars at different speeds. Cd is given by the equation
  4. A micrometer screw gauge is used to measure the diameter of a small uniform steel sphere. The measurement of the diameter is 5.00 mm  0.01 mm.
  5. Forces of magnitudes 2N, 4 N and 7 N combine to produce a resultant force. The magnitudes of the three forces are fixed, but the forces may act in any direction in the same plane.
    What is not a possible magnitude of the resultant force?
  6. Two projectiles, X and Y, are fired into the air from the same place on level ground and reach the same maximum height, as shown.
  7. A small glider moves along a horizontal air track as shown.



  1. A car accelerates from rest. The graph shows the variation of the momentum of the car with time.
  2. A ball is dropped onto horizontal ground and bounces vertically upwards. When the ball is in contact with the ground, the following forces act:
  3. A person stands on the edge of a high cliff that is next to the sea. The person throws a stone vertically upwards. Air resistance acts on the stone.
    The stone eventually hits the sea.
    Which velocity–time graph best shows the motion of the stone from when it is released until it hits the sea?
  4. Skaters of masses 80 kg and 40 kg move directly towards each other and collide.
  5. Which statement describes the two forces in a couple?
  6. A street lamp is fixed to a wall by a metal rod and a cable.
  7. An unknown mass and a 1.00 kg mass are fixed at opposite ends of a bar. The bar has negligible mass and a length of 30.0 cm. The bar balances when supported by a pivot placed 20.0 cm from the unknown mass, as shown.
  8. A block of wood of density ρw has sides of length a.
  9. A technical article about diesel engines expresses the energy available from diesel fuel both as 41.8 MJ kg–1 and as 34.9GJ m–3.
  10. What is meant by the efficiency of a system?
  11. A car of weight 15 000N is travelling along a horizontal road.
  12. The diagram shows the variation of a quantity y with a quantity x for objects in a uniform gravitational field.
  13. A steel wire has a length of 300 cm and a cross-sectional area of 0.50 mm2. The Young modulus of steel is 2.0 × 1011Pa.
  14. The extension of a copper wire is measured for different forces applied to the wire. A graph is plotted to show the variation of the force on the wire against extension. The maximum force is applied at point P.
  15. The variation with distance x of the displacement y of a transverse wave on a rope is shown at time t = 0.
  16. A cathode-ray oscilloscope (CRO) is connected to a microphone which detects sound of constant frequency.
  17. A transverse wave and a longitudinal wave both travel in the same direction down a long stretched spring.
  18. A man standing next to a stationary train hears sound of frequency 400 Hz emitted from the train’s horn. The train then moves directly away from the man and sounds its horn when it has a speed of 50 m s–1. The speed of sound in the air is 340 m s–1.
  19. Which list of regions of the electromagnetic spectrum is in order of increasing wavelength from left to right?
  20. The principle of superposition states that a certain quantity is added when two or more waves meet at a point.
  21. A stationary sound wave is formed in a gas-filled tube of length L, which is closed at one end by a piston. The length of the tube can be altered by moving the piston.
    The length of the tube and the frequency of the sound are varied so that the stationary wave always has two antinodes and two nodes, as shown.
  22. The diagrams show the diffraction of water waves in a ripple tank as they pass through a gap between two barriers.
    Which diagram is correct?
  23. A beam of light from a laser is incident normally on a double slit. Interference fringes are seen on a screen placed parallel to the double slit.
    The separation of the two slits is a. The distance between the slits and the screen is D. The distance between the centres of two adjacent bright fringes is x.
    D and a are both halved.
    What is the distance between the centres of two adjacent bright fringes after these changes?
  24. A beam of light of wavelength 400 nm is incident normally on a diffraction grating that has 300 lines per millimetre. The light passes through the grating and produces a series of maxima which are observed on a semicircular screen, as shown.
  25. Two wires, X and Y, are made from the same metal.
    The diameter of wire Y is twice that of wire X.
    Wire X, wire Y and a battery are connected in series.
  26. A resistor has resistance R. When the potential difference (p.d.) across the resistor is V, the current in the resistor is I. The power dissipated in the resistor is P. Work W is done when charge Q flows through the resistor.
    What is not a valid relationship between these variables?
  27. A fixed resistor and a filament lamp are connected in series to a power supply.
    The I–V characteristics for the two components are shown.
  28. A piece of conducting putty (modelling clay) of constant resistivity is formed into a cylindrical shape.
    The resistance R between its flat ends (shaded) is measured.
  29. The diagram shows the symbol for a component that may be used in an electrical circuit.
  30. Which row correctly describes Kirchhoff’s laws?
  31. A potential divider circuit is formed by connecting a battery of negligible internal resistance in series with two variable resistors, as shown.
  32. An actinium nucleus has a nucleon number of 227 and a proton number of 89. It decays to form a radium nucleus, emitting a β–particle and an α-particle in the process.
    What are the nucleon number and the proton number of this radium nucleus?
  33. Which statement is not correct?


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