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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 wavelengths possible in an air column in a pipe which has one closed end is
`lamda = (4l)/((2n+1))`
so, `c = v lamda rArr 330 = 264 xx (4l)/(2n+1)`
as it is in resonance with a vibrating tuning fork of frequency `264 Hz`
`l =(330 xx(2n+1))/(264 xx4)`
For `n = 0,l = 0.315 m = 31.25 cm`
For `n=1,l=0.9375 m=93.75 cm`.
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