The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water. The amplitude of the wave is 2.0 cm and the frequency is 4.0 Hz. Which statement is correct? A The phase difference between particles at P and S is $\frac{\pi}{2}$ rad. B The distance between P and R is 6.0 cm. C The particle velocity at Q is a maximum. D Particles at P and R are in phase.

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The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water - AQA - A-Level Physics - Question 16 - 2020 - Paper 1

Question 16

The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water. The amplitude of the wave is 2.0 cm and the frequency is 4.0 H... show full transcript

Worked Solution & Example Answer:The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water - AQA - A-Level Physics - Question 16 - 2020 - Paper 1

Step 1

A The phase difference between particles at P and S is $\frac{\pi}{2}$ rad.

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Answer

This statement is incorrect. Since P and S are half a wavelength apart, the phase difference should be $rac{\pi}{2}$ rad, as half a wavelength corresponds to a phase difference of $rac{\pi}{2}$ .

Step 2

B The distance between P and R is 6.0 cm.

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Answer

This statement is incorrect. The distance between P and R is equivalent to one wavelength, which is $\lambda = 24 cm/s \cdot \frac{1}{4 Hz} = 6 cm$ .

Step 3

C The particle velocity at Q is a maximum.

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Answer

This statement is correct. In a transverse wave, the particle velocity is maximum at the equilibrium position, which corresponds to point Q on the wave.

Step 4

D Particles at P and R are in phase.

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Answer

This statement is incorrect. Since P and R are separated by half a wavelength, they are out of phase by $rac{\pi}{2}$ rad.

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The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water - AQA - A-Level Physics - Question 16 - 2020 - Paper 1

Worked Solution & Example Answer:The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s⁻¹ on water - AQA - A-Level Physics - Question 16 - 2020 - Paper 1

A The phase difference between particles at P and S is $\frac{\pi}{2}$ rad.

B The distance between P and R is 6.0 cm.

C The particle velocity at Q is a maximum.

D Particles at P and R are in phase.

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