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

A) Zero
B) 0.5%
C) 5%
D) 20%
Explanation

(d) Given,
$v_{o} = \frac{v}{5}$
$\Longrightarrow \ \ v_{o} = \frac{320}{5} = 64ms^{- 1}$
When observers moves towards the stationary source, then
$n^{'} = \left( \frac{v + v_{o}}{v} \right)n$
$n^{'} = \left( \frac{320 + 64}{320} \right)n$
$n^{'} = \left( \frac{384}{320} \right)n$
$\frac{n^{'}}{n} = \frac{384}{320}$
Hence, percentage increases
$\left( \frac{n^{'} - n}{n} \right) = \left( \frac{384 - 320}{320} \times 100 \right)\%$
$= \left( \frac{64}{320} \times 100 \right)\% = 20\%$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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