Q. A whistle of frequency 540 Hz rerates in a horizontal circle of radius 2m at an angular speed of 15$rads^{- 1}$. The highest frequency heard by a listener at rest with respect to the center of circle (velocity of sound in air =$330ms^{- 1}$)

A) 590 Hz
B) 594 Hz
C) 598 Hz
D) 602 Hz
Explanation

(b) Velocity of source
$v_{s} = r\omega = 2 \times 15 = 30ms^{- 1}$
The highest frequency heard by the stationary listener
$v^{'} = v\left( \frac{v}{v - v_{s}} \right)$
or$\ $
$v^{'} = 540\left( \frac{330}{330 - 30} \right) = 594\ Hz$

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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