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A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequency $f_{s}$ . The farther end of the pipe is closed. The speed of sound in air is v and $f_{0}$ is the fundamental frequency of the pipe. For which of the following combination(s) of u and $f_{s}$ , will the sound reaching the pipe lead to a resonance?

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$u = 0.8 v$ and $f_{s} = f_{0}$

$u = 0.8 v$ and $f_{s} = 2 f_{0}$

$u = 0.8 v$ and $f_{s} = 0.5 f_{0}$

$u = 0.5 v$ and $f_{s} = 1.5 f_{0}$

answer is A, D.

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Detailed Solution

f_detected = $f_{s} (\frac{v}{v - u}) =$ may be $f_{0}, 3 f_{0}, 5 f_{0}, 7 f_{0} .......$
Hence answer is A, D

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