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 fs, will the sound reaching the pipe lead to a resonance?
Text Solution
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(a, d)
Natural frequency of closed pipe
f=(2n+l)f 0
f 0 is fundamental frequency
n = 0, 1,2,...........
frequency of source received by pipe
For resonance
F' = f
If u = 0.8 v
f s = f 0
for n = 2 pipe can be in resonance
Hence, option is correct.
If u = 0.8v f s = 2f 0
Not possible
If u = 0.5v, f s = 1.5ft
For n=1 f=3f 0
pipe can be in resonance
Hence, option is correct.
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