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Q.

An open pipe is suddenly closed with the result that, the second overtone of the closed pipe is found to be higher in frequency by 100 Hz, then the first overtone of the original pipe. The fundamental frequency of open pipe will be

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a

100Hz

b

300Hz

c

150Hz

d

200Hz

answer is D.

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Detailed Solution

For second overtone of closed pipen3=5V4lFor first overtone of open pipen2=2V2lGiven that 5V4l−2V2l=100 or V2l=200Now fundamental frequency of open pipen1=V2l=200
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An open pipe is suddenly closed with the result that, the second overtone of the closed pipe is found to be higher in frequency by 100 Hz, then the first overtone of the original pipe. The fundamental frequency of open pipe will be