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Question

When a sound wave of frequency 30 Hz enters a medium, then maximum displacement of medium particles is 1 cm. The maximum velocity of the particles will be

A
60 π cm/s
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B
30 π cm/s
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C
30 cm/s
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D
60 cm/s
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Solution

The correct option is A 60 π cm/s
Given:
Frequency, ν=30Hz
Amplitude, A=1cm (maximum displacement)

To find:
The maximum velocity of the particle, Vmax

Solution:
The maximum velocity of the particle is given by the formula,
Vmax=Aω

Where,
A is the maximum displacement, which is called as Amplitude
ω is the angular frequency

We know that, ω=2πν

This implies,
Vmax=A(2πν)
Vmax=12π30

Vmax=60πcm/s

So, the correct option is (A)





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