Question

The frequency of the second overtone of the open pipe is equal to the frequency of the first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is.

A

B

C

D

Medium
Solution
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Correct option is A)

Let the lengths of open pipe and closed pipe be   and , respectively.
Frequency of second overtone (or third harmonic i.e ) of open pipe    

Frequency of first overtone (or third harmonic ie. ) of open pipe    
But  
              

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