Q. A bat flies at a steady speed of $4\ ms^{- 1}$ emitting a sound of $f = 90 \times 10^{3}$ Hz. It is flying horizontally towards a vertical wall. The frequency of the reflected sound as defected by the bat will be (take velocity of sound in air as $330\ ms^{- 1}$)

A) $88.1 \times 10^{3}$Hz
B) $87.1 \times 10^{3}$Hz
C) $92.1 \times 10^{3}$Hz
D) $89.1 \times 10^{3}$Hz
Explanation

(c) Frequency of reflected sound heard by the bat
$v^{'} = v\left\lbrack \frac{v - \left( v_{o} \right)}{v - v_{s}} \right\rbrack$
$= v\left\lbrack \frac{v + v_{o}}{v - v_{s}} \right\rbrack = v\left\lbrack \frac{v + v_{b}}{v - v_{b}} \right\rbrack$
$= v\left\lbrack \frac{330 + 4}{330 - 4} \right\rbrack 90 \times 10^{3}$
$= 92.1 \times 10^{3}Hz$

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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