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An air column in a pipe, which is closed...

An air column in a pipe, which is closed at one end, will be in resonance with a vibaring tuning fork of frequency 264 Hz, if the length of the column in cm is (Speed of sound = 330 m/s)

A

31.25

B

62.5

C

93.75

D

125

Text Solution

Verified by Experts

The correct Answer is:
A, C
The wave length possible in air column in a pipe which has one closed end is
`lambda=(4 1)/((2n+)) so, c=vlambda implies 330=264xx(4 1)/(2n+1)`
as it is in resonance with a vibrating tuning fork of frequency 264 Hz
`1=(330xx(2n+1))/(264xx4)`
For n=0,l=0.315m=31.25cm, for n=1,l=0.9375m=93.75 cm
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