Q. An object producing a pitch of 400 Hz flies past a stationary person. The object was moving in a straight line with a velocity$200\ ms^{- 1}$. What is the change in frequency noted by the person as the person as the object files past him?

A) 1440 Hz
B) 240 Hz
C) 1200 Hz
D) 960 Hz
Explanation

(c) From Doppler’s effect, the perceived frequency (v’) is given by
$v^{'} = \left( \frac{v - v_{o}}{v - v_{s}} \right)v\ $
Where $v_{o}$ is velocity of observer, $v_{s}$ of source, v of sound and v the original frequency.
Given, $v_{o} = 0$(stationary), $v = 300\ ms^{- 1}$
$v_{s} = 200\ ms^{- 1},\ \ \ \ \ v = 400\ Hz$
$\therefore v^{'} = \frac{300 \times 400}{300 - 200}$
$= \frac{300 \times 400}{100}$
$\Longrightarrow v^{'} = 1200\ Hz$

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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