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Q.

A horn is rotated in a circle of radius 1m. Its frequency is 500 Hz. The maximum and minimum frequencies heard by a man near the horn out side the circle are in the ratio 101/99. The velocity of horn is (v = 340 m/s).

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a

340 m/s

b

34 m/s

c

0.24 m/s

d

3.4 m/s

answer is D.

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Detailed Solution

$n_{A}^{1} = \frac{v}{v + v_{s}} \to M i n i m u m$
Question Image
$\begin{array}{l} n_{B}^{1} = \frac{v}{v - v_{s}} \to M a x i m u m \\ \frac{n_{B}^{1}}{n_{A}^{1}} = \frac{v + v_{s}}{v - v_{s}} \\ \frac{101}{99} = \frac{340 + v_{s}}{340 - v_{s}} \\ 101 (340 - v_{s}) = 99 (340 + v_{s}) \\ ∴ v_{s} = 3.4 m / s \end{array}$

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