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Question

Physics Question on Waves

An observer moves towards a stationary source of sound with a velocity that is one-fifth the velocity of sound. The apparent change in frequency is

A

zero

B

0.05

C

0.2

D

0.001

Answer

0.2

Explanation

Solution

When the observer is moving towards a stationary source
Apparent frequency v=v[v+v0v] v' = v \bigg[ \frac{v + v_0}{v}\bigg]
\hspace50mm v' = v \bigg[ \frac{v + \frac{v}{5}}{v}\bigg]
or \hspace45mm v' = \frac{6}{5} v
\therefore Change in frequency =65vv= \frac{6}{5} v - v
\hspace50mm = \frac{1}{5} v
\therefore % change = 20%