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If a tuning fork of frequency (340 pm 1 ...

If a tuning fork of frequency `(340 pm 1 %)` is used in the resonance tube method and the first and second resonance lengths are `20.0cm` and `74.0 cm` respectively. Find the maximum possible percentage error in speed of sound.

Text Solution

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The correct Answer is:
A, C
`l_1= 20.0 cm`
`rArr Deltal_1= 0.1 cm`
`rArr l_2 =74.0 cm`
`rArr Deltal_2=0.1cm`
`v=2f(l_2-l_2)`
`:. (Delta v)/vxx100=(Delta f)/fxx100+((Delta l_1+Delta l_2)/(l_2-l_1))xx100`
`=1%+((0.1+0.1)/(74.0-20.0))xx10`
`=1% +0.37%=1.37%`.
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