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Q.

A closed pipe is vibrating in the second overtone mode. When opened, it vibrates in the first overtone mode with frequency that differs by 100 Hz. The fundamental frequency of the open pipe is

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a

200 Hz

b

100 Hz

c

400 Hz

d

300 Hz

answer is B.

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Detailed Solution

Second overtone of the closed pipe =5υ4l;
First overtone of the open pipe =υl  
But 5υ4l−υl=υ4l=100⇒12υ2l=100
Funcdamental frequency of the open pipe =υ2l=200HZ

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