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Question

A person is standing 1 km away from a source of sound. The velocity of sound in the medium is 340 ms1. Calculate the number of oscillations (approximately) that the sound wave makes before it reaches that person. The frequency of the sound is 500 Hz.

A
1450
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B
1417
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C
1470
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D
340
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Solution

The correct option is C 1470
Given:
Distance between source and observer, s=1000 m
Velocity of sound, v=340 ms1
Frequency of sound, f=500 Hz

Time taken for the sound wave to reach the observer from the source is:
t=sv

Number of oscillations in 1 s is the frequency, f
Number of oscillations in time t will be:
n=tf
n=svf
n=1000×500340
n1470

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