First slide

Doppler

Question

An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency?

Moderate

A

5%
B

20%
C

zero
D

0.5%

Solution

When observer moves towards stationary source then apparent frequency
$n^{'} = [\frac{v + v_{0}}{v}] n = [\frac{v + \frac{v}{5}}{v}] n = \frac{6}{5} n = 1.2 n$
Increment in frequency = 0.2 n so percentage change infrequency = $\frac{0.2 n}{n} \times 100 = 20 %$

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