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A resonance air column shows resonance w...

A resonance air column shows resonance with a tuning fork of frequency 256 Hz at column lengths 33.4 cm and 101.8 cm. find (i) end-correction and (ii) the speed of sound in air.

A

`300 ms^(-1)`

B

`250ms^(-1)`

C

`390ms^(-1)`

D

`350ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
End correction =`(L_(2)-3L_(1))/2`
`=(101.8-3xx33.4)/2=1.6/2=0.8cm`
Speed of sound
`v=2upsilon(L_(2)-L_(1))=2xx256xx(1.018-0.334)`
`=2xx256xx0.684=350.2ms^(-1)`
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