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Question

An observer move towards a stationary source of sound with a velocity equal to one fifth of the velocity of sound. The apparent change in frequency is

A
35%
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B
30%
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C
25%
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D
20%
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Solution

The correct option is D 20%
From Doppler's effect, the apparent frequency heard by the observer is,
f=f0(v±v0v±vs), here,
f0 is the original frequency produced by the source, v is the speed of sound, v0 is the speed of observer and vs is the speed of source.
Given, v0=v5
f=f0⎜ ⎜v+v5v0⎟ ⎟
f=65f0=1.2f0
Now,
Apparent change in frequency =Δff0×100
=1.2f0f0f0×100=20%

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