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Q.

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

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a

2.37%

b

3.37%

c

1.37%

d

0.37%

answer is C.

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Detailed Solution

l1=20.0 cmΔl1=0.1 cml2=74.0 cmΔl2=0.1 cmΔvv×100=Δff×100+Δl1+Δl2l2-l1×100=1%+0.1+0.174.0-20.0×100=1%+0.37%=1.37%
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