Q. An engine moving towards a wall with a velocity $50\ ms^{- 1}$ emits a note of 1.2 kHz. Speed of sound in air is $350\ ms^{- 1}$. The frequency of the note after reflection from the wall as heard by the driver of the engine is

A) 2. 4kHz
B) 0.24 kHz
C) 1.6 kHz
D) 1.2 kHz
Explanation

(c) The reflection sound appears to propagate in a direction opposite to that of moving engine. Thus, the source and the observer can be presumed to approach each other with same velocity.
$v^{'} = \frac{v\left( v + v_{o} \right)}{\left( v - v_{s} \right)}$
$= v\left( \frac{v + v_{s}}{v - v_{s}} \right)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left( \because v_{o} = v_{s} \right)$
$\Longrightarrow v^{'} = 1.2\left( \frac{350 + 50}{350 - 50} \right)$
$= \frac{1.2 \times 400}{300} = 1.6\ kHz$

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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