A longitudinal wave of frequency 660 Hz travels through a medium. The wave speed is 330 m s$^{-1}$. Which statement describes the motion of a particle in the wave? A. It is travelling at a speed of 330 m s$^{-1}$. B. It moves in phase with a particle in the wave 25 cm away. C. It oscillates with a time period of 1.5 ms. D. It changes direction 660 times every second.

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A longitudinal wave of frequency 660 Hz travels through a medium - AQA - A-Level Physics - Question 18 - 2022 - Paper 1

Question 18

A longitudinal wave of frequency 660 Hz travels through a medium. The wave speed is 330 m s$^{-1}$. Which statement describes the motion of a particle in the wave? ... show full transcript

Worked Solution & Example Answer:A longitudinal wave of frequency 660 Hz travels through a medium - AQA - A-Level Physics - Question 18 - 2022 - Paper 1

Step 1

C. It oscillates with a time period of 1.5 ms.

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Answer

To find the time period of a wave, we can use the formula:

$T = \frac{1}{f}$

where

T is the time period,
f is the frequency.

Given that the frequency (f) of the wave is 660 Hz, we can calculate the time period:

$T = \frac{1}{660} \approx 0.00151515 \text{ s} \approx 1.5 ext{ ms}$

This shows that the oscillation occurs with a time period of approximately 1.5 ms.

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