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If a tuning fork of frequency (f(0)) 340...

If a tuning fork of frequency (`f_(0)`) 340 Hz and tolerance `pm1%` is used in the resonance column method for determining the speed of sound. If the first and the second resonance are measured at `l_(1) = 24.0 cm and l_(2) = 74.70 cm`, then the permissible error in speed of sound is

A

`1%`

B

`1.2 %`

C

`1.4%`

D

`1.6%`

Text Solution

Verified by Experts

The correct Answer is:
C
`v=2f_(0)(l_(2)-l_(1))`
`rArr ((Deltav)/v)_(Max)=(Deltaf_(0))/(f_(0))+(Deltal_(1)+Deltal_(2))/(l_(2)-l_(1)) =1/100+(0.1 +0.1)/(74-24) =1.4 %`
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