Q. When an engine passes near to a stationary observer then its apparent frequencies occurs in the ratio $5/3.$ If the velocity of engine is (Velocity of sound is $340\ m/s$)

A) $540\ m/s$
B) $270\ m/s$
C) $85\ m/s$
D) $52.5\ m/s$
Explanation

(c) When engine approaches towards observer
$n^{'} = n\left( \frac{v}{v - v_{S}} \right)$
When engine going away from observer
$n" = \left( \frac{v}{v + v_{S}} \right)n$
$\therefore\frac{n'}{n"} = \frac{v + v_{S}}{v - v_{S}} \Rightarrow \frac{5}{3} = \frac{340 + v_{S}}{340 - v_{S}} \Rightarrow v_{S} = 85\ m/s$

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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