O Level Physics 5054 Paper 22, Oct/Nov 2024

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Question paper

5054/22 · Oct/Nov 2024

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1

A jet ski is a type of boat that carries one or two people and travels at high speed on water. Fig. 1.1 shows a student riding on a jet ski. A high-speed jet of water is forced backwards out of the back of the jet ski by a pump inside the jet ski.

Figure 1 of 1 for question 1
a(i)

The pump increases the momentum of the water that is forced backwards out of the back of the jet ski. Complete the word equation to show the relationship between the resultant force on an object and the change in momentum of the object. resultant force =

[1]
a(ii)

In 2.0 s, the pump increases the backwards speed of 180 kg of water by 30 m/s. Calculate the backwards force exerted on the water. force = ..................................................... N

[2]
b(i)

Using Newton’s third law of motion, explain why there is a forwards force on the jet ski.

[2]
b(ii)

The student has a mass of 70 kg and the jet ski has a mass of 280 kg. Use your answer from (a)(ii) to determine the acceleration of the student and jet ski when no resistive forces are acting. acceleration = ................................................ m/s2

[2]
c

The jet ski reaches a speed of 20 m/s. Calculate the total kinetic energy of the student and jet ski at this speed. kinetic energy = ...................................................... J

[3]
2

A glass beaker of mass m is at rest on a horizontal surface. The base of the beaker is a circle with a radius r.

Figure 1 of 2 for question 2
Figure 2 of 2 for question 2
a

The beaker exerts a pressure on the horizontal surface. Determine an expression for the pressure in terms of the gravitational field strength g, m and r. pressure =

[2]
b

Fig. 2.1 shows the beaker being filled with a liquid from container X. Initially, the beaker is empty. At time t=0, the tap is opened and liquid from container X flows slowly into the beaker at a constant rate. At time t=T, the liquid stops flowing into the beaker. Sketch on Fig. 2.2 to show how the pressure exerted on the horizontal surface varies between t=0 and t=2T.

[3]
3

Fig. 3.1 shows a laboratory freezer. The door is closed and the freezer is switched on. A cold liquid is pumped through the copper pipe at the top of the freezer. The temperature of the air next to the copper pipe decreases quickly.

Figure 1 of 1 for question 3
a

Explain how the temperature of the rest of the air in the freezer decreases.

[3]
b(i)

The thick insulation shown in Fig. 3.1 is made from a plastic material. The plastic material in the insulation is a poor thermal conductor. Describe how thermal energy is transferred through a plastic material.

[2]
b(ii)

The plastic material also contains a large number of small air bubbles. Explain how the air bubbles reduce the transfer of thermal energy through the insulation.

[3]
4

Fig. 4.1 shows a large syringe that is sealed at the nozzle by wax. There is a piston inside the syringe. The pressure of the air inside the syringe is equal to atmospheric pressure, 1.0×105 Pa. The volume of the air inside the syringe is 1.2×10−4 m3. The area of the end of the piston that is in contact with the air is 3.5×10−3 m2. The friction between the piston and the syringe is negligible.

Figure 1 of 1 for question 4
a(i)

Calculate the force on the piston due to the pressure of the air inside the syringe. force = ..................................................... N

[2]
a(ii)

The force on the piston in (a)(i) acts to the right. Explain why the piston does not move to the right.

[2]
b(i)

The piston is now pulled to the right by an additional force. The temperature of the air in the syringe does not change. Explain, in terms of particles, why the pressure of the air in the syringe decreases.

[3]
b(ii)

Calculate the pressure of the air inside the syringe when the volume of the air is 1.5×10−4 m3. pressure = .................................................... Pa

[2]
5

Some glass lenses are converging lenses, and others are diverging lenses.

Figure 1 of 1 for question 5
a

Draw the cross-section of a diverging lens.

[1]
b(i)

Fig. 5.1 shows the cross-section of a converging lens, the principal axis and the two principal focuses (focal points) F1 and F2 on a full-scale grid. A student places an object of height 2.1 cm at a distance of 3.0 cm from the centre of the lens. Using Fig. 5.1, determine the focal length of the lens. focal length = ................................................... cm

[1]
b(ii)

On Fig. 5.1, draw a vertical arrow of height 2.1 cm that is 3.0 cm from the centre of the lens and label the arrow O. The arrow is the object.

[1]
b(iii)

On Fig. 5.1, draw two rays from the tip of the object arrow to find the tip of the image. Draw another arrow to show the image.

[3]
b(iv)

Using the image marked on Fig. 5.1 in (b)(iii), determine the linear magnification produced. magnification = .........................................................

[2]
b(v)

Explain whether the image of the object is real or virtual.

[1]
6

Fig. 6.1 shows the circuit symbol for a relay and two labelled terminals.

Figure 1 of 6 for question 6
Figure 2 of 6 for question 6
Figure 3 of 6 for question 6
Figure 4 of 6 for question 6
Figure 5 of 6 for question 6
Figure 6 of 6 for question 6
a

By referring to Fig. 6.1, explain the effect of a current passing from A to B.

[2]
b

Fig. 6.2 shows two circuits linked by a relay. The heater transfers energy at a rate of 40 W when it is connected to a 12 V supply. Switch S is closed. The variable resistor is adjusted so that its resistance R increases from 0. Fig. 6.3 shows how the power transferred in the 40 W heater varies as R increases from 0. The graph shows a sharp decrease when the resistance R reaches RH. Explain the shape of the graph in Fig. 6.3.

[3]
c(i)

The 40 W heater connected to the 12 V supply is switched on. Calculate: the energy transferred in the heater in 2.0 minutes energy = ...................................................... J

[2]
c(ii)

the resistance of the heater. resistance = ..................................................... Ω

[3]
7

The frequency of an alternating current mains electricity supply is 50 Hz. The maximum voltage of the supply is 300 V.

Figure 1 of 2 for question 7
Figure 2 of 2 for question 7
a

Using the axes in Fig. 7.1, sketch a graph to show how the voltage of the supply varies in a time of 0.05 s.

[3]
b(i)

Fig. 7.2 shows the mains power supply connected to the primary coil of a transformer. The primary coil consists of 750 turns. The core of the transformer is made from iron. Explain why iron is a suitable material for the core of the transformer.

[1]
b(ii)

Explain why there is a voltage across the secondary coil.

[3]
b(iii)

There are 60 turns on the secondary coil. Calculate the maximum value of the voltage across the secondary coil. maximum voltage = ...................................................... V

[2]
8

The isotope thorium-230 (90230Th) decays by alpha particle (α-particle) emission.

Figure 1 of 2 for question 8
Figure 2 of 2 for question 8
a(i)

Describe the composition of an α-particle.

[1]
a(ii)

State the name of the particle that is identical in composition to an α-particle.

[1]
b(i)

The α-particle decay of thorium-230 produces an isotope of radium. Deduce: the number of neutrons in a neutral atom of this isotope of radium number of neutrons = .........................................................

[1]
b(ii)

the number of electrons in a neutral atom of this isotope of radium. number of electrons = .........................................................

[1]
c

The half-life of thorium-230 is 75 000 years. A radioactive sample contains 7.2×1016 thorium-230 atoms. Determine the time it takes for the number of thorium-230 atoms to decrease to 9.0×1015. time = ............................................... years

[3]
d(i)

When it decays, thorium-230 also emits gamma radiation (γ-radiation). Fig. 8.1 shows a narrow beam of γ-radiation passing into an electric field. On Fig. 8.1, sketch the path of the γ-radiation in the electric field.

[1]
d(ii)

Fig. 8.2 shows the electric field replaced with a magnetic field that is directed into the page. On Fig. 8.2, sketch the path of the γ-radiation in the magnetic field.

[1]
9

The Earth has a radius of 6.4×106 m and rotates on its axis once in every 24 hours.

Figure 1 of 1 for question 9
a(i)

Fig. 9.1 shows that as the Earth rotates, objects on the surface of the Earth move in circular paths around the axis of rotation. Calculate the speed of an object at the equator as it moves in a circular path around the axis of rotation. speed = ................................................. m/s

[3]
a(ii)

Explain why the speed around the axis of rotation of an object on the Earth decreases as the distance of the object from the equator increases.

[2]
b(i)

The Earth moves around the Sun because a force acts on the Earth. State what provides this force.

[2]
b(ii)

The orbit of the Earth around the Sun is an ellipse. Describe what happens to the magnitude of the force that acts on the Earth as it moves in this elliptical orbit.

[2]
b(iii)

Explain why the Earth travels the slowest when it is at its furthest distance from the Sun.

[2]

Mark scheme

5054/22 · Oct/Nov 2024

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1a(i) · 1 mark

  • B1

    resultant force = increase in momentum / unit time or resultant force = rate of increase in momentum

1a(ii) · 2 marks

  • C1

    (F =) 180 × 30 / 2.0 or 180 × 15

  • A1

    2700 (N)

1b(i) · 2 marks

  • B1

    pump / jet ski / engine exerts force on water

  • B1

    water exerts an opposite force on the pump / jet ski / engine

1b(ii) · 2 marks

  • C1

    (a =) F / m or 2700 / (70 + 280) or 2700 / 350

  • A1

    7.7 (m / s²)

1c · 3 marks

  • C1

    (K.E. =) ½ mv²

  • C1

    ½ × (70 + 280) × 20² or ½ × 350 × 20²

  • A1

    70 000 (J)

2a · 2 marks

  • C1

    clear evidence that pressure ∝ 1 / area or mg seen

  • A1

    pressure = mg / πr²

2b · 3 marks

  • B1

    line with intercept > 0

  • B1

    between t = 0 and t = T, straight line and with gradient > 0

  • B1

    horizontal line at end of initial line

3a · 3 marks

  • B1

    (air next to the pipe contracts / its volume decreases and its) density increases

  • B1

    cold air / air next to the pipe sinks

  • B1

    warm(er) air (at the bottom of the freezing compartment) rises or convection (current) set up

3b(i) · 2 marks

  • B1

    particles vibrate and collide with other particles

  • B1

    collisions transfer (thermal) energy / vibration or (thermal) energy / vibration passed to neighbouring particles / neighbours / nearby particles

3b(ii) · 3 marks

  • B1

    air is trapped

  • B1

    (trapping the air / the bubbles / they) reduces / prevents convection

  • B1

    air is a bad conductor

4a(i) · 2 marks

  • C1

    (F =) pA or 1.0 × 10⁵ × 3.5 × 10⁻³

  • A1

    350 (N)

4a(ii) · 2 marks

  • B1

    force to left or force due to atmospheric pressure / pressure of air surrounding the syringe

  • B1

    no resultant force (on piston) or (two) forces balance or forces in equilibrium

4b(i) · 3 marks

  • B1

    (particles / they) hit the walls / sides / piston / syringe

  • B1

    (particles / they) less densely packed / more spread out / further apart

  • B1

    collisions (of particles) less frequent

4b(ii) · 2 marks

  • C1

    (p₂) = p₁V₁ / V₂ or 1.0 × 10⁵ × 1.2 × 10⁻⁴ / 1.5 × 10⁻⁴

  • A1

    8.0 × 10⁴ (Pa)

5a · 1 mark

  • B1

    a drawn lens that is thinner at the middle (than at the edges)

5b(i) · 1 mark

  • B1

    1.8 (cm)

5b(ii) · 1 mark

  • B1

    vertical arrow of height 2.1 cm drawn 3.0 cm from lens (and labelled O)

5b(iii) · 3 marks

  • B2

    any two from: paraxial ray from tip of object to lens that then refracts through F₂ ray from tip of object, straight through and past optical centre ray from tip of object through F₁ to lens that then emerges paraxially

  • B1

    image drawn from (sensible) intersection to principal axis

5b(iv) · 2 marks

  • C1

    (linear magnification =) hI / ho or height of candidate's image / 2.1 (cm)

  • A1

    1.2 ⩽ magnification ⩽ 1.8

5b(v) · 1 mark

  • B1

    real and formed by converging light / rays

6a · 2 marks

  • B1

    current / it in AB / the (magnetising) coil produces magnetic field

  • B1

    (relay) switch (between X and Y) closes or switch attracted by magnetic field / coil or (relay) switch made of iron

6b · 3 marks

  • B1

    (initially) the current in the relay coil is large or relay switch (in relay circuit / relay) is closed or heater is connected to a 12 V supply or voltage of supply does not change or heater is switched on

  • B1

    (as R increases) current / magnetic field (in relay coil) decreases

  • B1

    (at R = RH) relay switch (in relay coil) opens or magnetic field not strong enough to hold switch closed

6c(i) · 2 marks

  • C1

    (E =) Pt or 40 × 2.0 or 40 × 2.0 × 60 or 80

  • A1

    4800 (J)

6c(ii) · 3 marks

  • C1

    I = P / V or I = 40 / 12 or I = 3.3 (A)

  • C1

    (R =) V / I or 12 / 3.3

  • A1

    3.6 (Ω)

7a · 3 marks

  • B1

    sinusoidal curved line drawn on Fig. 7.1

  • B1

    at least one sinusoidal cycle of period 0.020 (s) on Fig. 7.1

  • B1

    2.5 sinusoidal cycles of period 0.020 (s) and amplitude of 300 V on at least one cycle on Fig. 7.1

7b(i) · 1 mark

  • B1

    it is a temporary magnetic material

7b(ii) · 3 marks

  • B1

    (alternating / changing) current in primary coil

  • B1

    alternating / changing magnetic field (in core / in secondary coil)

  • B1

    voltage / e.m.f. induced (in secondary coil)

7b(iii) · 2 marks

  • C1

    (VS =) NSVP / NP or 60 × 300 / 750

  • A1

    24 (V)

8a(i) · 1 mark

  • B1

    2 neutrons and 2 protons and no other particles present

8a(ii) · 1 mark

  • B1

    helium and nucleus

8b(i) · 1 mark

  • B1

    138 cao

8b(ii) · 1 mark

  • B1

    88 cao

8c · 3 marks

  • C1

    7.2 × 10¹⁶ / 9.0 × 10¹⁵ or 9.0 × 10¹⁵ / 7.2 × 10¹⁶ or 8(x) or 1 / 8(th)

  • C1

    3 half-lives identified or 3 × 75 000

  • A1

    2.25 × 10⁵ (years)

8d(i) · 1 mark

  • B1

    horizontal line in electric field and nothing else

8d(ii) · 1 mark

  • B1

    horizontal line in magnetic field and nothing else

9a(i) · 3 marks

  • C1

    (v =) s / t or any relevant distance / any relevant time

  • C1

    (v =) 2π × 6.4 × 10⁶ / (24 × 3600)

  • A1

    470 (m / s)

9a(ii) · 2 marks

  • B1

    (circumference of) path decreases (with distance from Equator)

  • B1

    rotation period / time for rotation remains constant

9b(i) · 2 marks

  • B1

    gravitational attraction / field

  • B1

    due to Sun

9b(ii) · 2 marks

  • B1

    increases and decreases or fluctuates or varies or not constant

  • B1

    decreases when moving away from Sun or increases when moving towards Sun

9b(iii) · 2 marks

  • B1

    (at greatest distance) the gravitational potential energy is the greatest

  • B1

    (hence) kinetic energy the smallest (and so speed is the smallest)

Questions

  1. 1
    Question 110 marks
    Mark scheme ›
  2. 2
    Question 25 marks
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  3. 3
    Question 38 marks
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  4. 4
    Question 49 marks
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  5. 5
    Question 59 marks
    Mark scheme ›
  6. 6
    Question 610 marks
    Mark scheme ›
  7. 7
    Question 79 marks
    Mark scheme ›
  8. 8
    Question 89 marks
    Mark scheme ›
  9. 9
    Question 911 marks
    Mark scheme ›

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