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If the frequency of the first overtone o...

If the frequency of the first overtone of a closed organ pipe of length 33cm is equal to the frequency of the first overtone of an organ pipe, then the length of the open organ pipe will be

A

33cm

B

22cm

C

44cm

D

88cm

Text Solution

Verified by Experts

The correct Answer is:
C
`3n_c = 2n_0`
`3(v)/(4l_c) = 2xx(v)/(2l_0) therefore 3/2 1/l_c = 2/l_0`
`l_0 = (2xx2)/(3) xxl_c = (4xx33)/(3) = 44`
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