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A long glass tube is held vertically in water. A tuning fork is struck and held over the tube. Strong resonances are observed at two successive lengths 0.50 m and 0.84 m above the surface of water. If velocity of sound is `340 m s^(-1)`, then the frequency of the tuning fork is

A

`128 Hz`

B

`256 Hz`

C

`384 Hz`

D

`500 Hz`

Text Solution

Verified by Experts

The correct Answer is:
D

` lambda = 2( x_(2) - x_(1)) = 2 (0.84 - 0.50) = 0.68`
` n = (v)/(lambda) = ( 340)/( 0.68) = 500 Hz`
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