Q. A motor car is approaching towards a crossing with a velocity of $72\ kmh^{- 1}$. The frequency of sound of its horn as heard by a policeman standing on the crossing is 260Hz. The frequency of horn is

A) 200 Hz
B) 244 Hz
C) 150 Hz
D) 80 Hz
Explanation

(b) From Doppler’s effect, perceived frequency is
$v^{'} = v\left( \frac{v - v_{o}}{v - v_{s}} \right)$
$v_{s} = 72kmh^{- 1} = \frac{72 \times 1000}{60 \times 60} = 20ms^{- 1}$
$v_{o} = 0,\ v = 332\ ms^{- 1},\ v^{'} = 260\ Hz$
$260 = v\left( \frac{332}{332 - 20} \right)$
$\Longrightarrow v = \frac{260 \times 312}{332} = 244\ Hz$

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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