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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

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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

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

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Answer

In a transverse wave, the phase difference between two points can be determined by their relative positions on the wave. Since P and S are on consecutive peaks of the wave pattern, the phase difference between them is zero, not π2\frac{\pi}{2} rad.

Step 2

The distance between P and R is 6.0 cm.

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Answer

The distance between P and R is indeed not 6.0 cm, as R is located one quarter of the wavelength away from P. The full wavelength can be calculated from speed and frequency, but the distance given is inaccurate.

Step 3

The particle velocity at Q is a maximum.

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Answer

At point Q, which corresponds to the crest of the wave, the particle velocity is indeed at a maximum because it is at the equilibrium position when the particles are moving the fastest during their oscillation.

Step 4

Particles at P and R are in phase.

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Answer

Particles P and R are not in phase; they are separated by a quarter wavelength. Therefore, this statement is incorrect.

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