OCR GCE AS Level Physics A Paper 2 June 2024 question paper H156/02

In space, Asteroid A, called Dimorphos travels at constant speed in a circle around a larger Asteroid B, called Didymos. The diagram shows Asteroid A at position P.

The distance r₀ between Asteroid A and Asteroid B is 1.19 km. The time T₀ for Asteroid A to travel once around Asteroid B is 4.29 × 10⁴ s (11 hours 55 minutes).

Calculate the average speed v, in m s^–1, of Asteroid A. (a)

v =........ m s^–1

Explain one similarity and one difference between the velocity of Asteroid A at P and its velocity six hours later.

similarity........

........

difference........

........

In 2022, the NASA DART mission impact caused Asteroid A to follow a different circular path round Asteroid B.

The new time T_N for Asteroid A to travel once around Asteroid B was reduced by 30 minutes.

The relationship between the distance r from the centre of Asteroid B to the centre of Asteroid A and the time T for Asteroid A to travel around Asteroid B is

r³ T²

Calculate the new distance r_N from the centre of Asteroid B to the centre of Asteroid A. Give your answer in km and to 3 significant figures.

In ice hockey, players use a stick to hit an object called a puck, across the surface of the ice. Assume that the frictional force between the ice and the puck is negligible. The mass of each puck is 0.16 kg.

State Newton’s second law of motion.

A player hits a single, stationary, puck. The stick is in contact with the puck for a time of 0.033 s and the puck moves at a velocity of 20 m s^–1 across the ice.

Calculate:

the impulse of the force applied to the puck. Include an appropriate unit.

the average force F that the stick exerts on the puck.

Explain what is meant by a perfectly elastic collision.

After the collision B travels across the surface of the ice with a velocity of 8.0 m s^–1. (ii) The velocity of the single puck after the collision is –12 m s^–1. Determine m.

A solid uniform wooden isosceles prism has a mass of 3.98 kg. The corners of one of the triangular faces are P, Q and R.

Fig. 4.1 (not to scale)

A student determines the thickness of the prism to be 2.83 cm.

Explain how to determine the thickness of the prism accurately in the laboratory.

Calculate the density of the wood.

=........ kg m^–3

Explain what is meant by centre of gravity.

State the two conditions for the equilibrium of the prism.

Calculate the force F.

The table shows the speed and wavelength of yellow light in air.

The refractive index at the air glass boundary is 1.52.

Calculate the frequency, in THz, of yellow light in air.

Record your answer in the table.

Complete the table for yellow light in glass.

A student uses a ray box to investigate the refraction of the yellow light in a rectangular glass block.

Fig. 5.1 shows the path the yellow light travels as it enters the block at point P and travels to point Q.

Fig. 5.1

Draw on Fig. 5.1 the angle of incidence i and the angle of refraction r at point P. Label the angles i and r.

Describe how the student produces Fig. 5.1 experimentally using a ray box.

The angle of incidence i is 49.9.

Show that the angle of refraction r is approximately 30.

Show that total internal reflection occurs at point Q.

Draw on Fig. 5.1 the path of the light as it travels from point Q back into the air.

A stationary sound wave is set up in a closed resonance tube as shown in Fig. 6.1.

Sound is produced by a signal generator connected to a loudspeaker. The sound is detected by a microphone connected to an oscilloscope.

The time-base setting on the oscilloscope is 1 ms cm^–1.

The signal generator is adjusted until the fundamental mode of vibration is detected. Fig. 6.2 shows the trace on the oscilloscope.

Use Fig. 6.2 to determine the frequency f₀ of the fundamental mode of vibration.

Draw on Fig. 6.3 the stationary wave pattern for the fundamental mode of vibration.

Label on Fig. 6.3 the positions, if any, of any nodes N and any antinodes A.

Fig. 6.3

The frequency of the signal generator is increased until the next harmonic is displayed on the oscilloscope.

Calculate the frequency f_n of the next harmonic.

A battery of electromotive force (e.m.f.) and internal resistance r is connected to five identical wire wound resistors in a circuit.

Each resistor between points P and Q has a resistance of 300 . Two of the resistors are labelled X and Y as shown.

The table shows the ammeter and voltmeter readings when the switch is open and when the switch is closed.

Suggest why a student deduces that the e.m.f. of the battery has the value of 4.57 V.

Show that the resistance r is approximately 3.9 .

Show that the total resistance of the resistors between P and Q is 250 .

The switch is closed for 300 s.

Calculate:

the energy E dissipated in r.

the number of electrons N passing through r.

Resistor Y is removed from the circuit.

The switch is closed.

Complete the sentences to state the change, if any, in the meter readings.

Choose from increases, decreases, or stays the same.

The ammeter reading

The voltmeter reading

8* In 1929, the Nobel prize was awarded to Louis de Broglie for his discovery of the wave nature of electrons.

Describe, with the aid of a suitable diagram:

• how an experiment can be safely conducted to demonstrate the wave nature of electrons

• how the observations indicate the wave nature of electrons

• how an estimate of the de Broglie wavelength of the electrons compares with an estimate of the de Broglie wavelength for a car travelling at a speed of 110 Km / h on a motorway.

Diagram