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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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`l_(1) = 20.0 cm rarr Deltal_(1) = 0.1 cm`
`l_(2) = 74.0 cm rarr Deltal_(2) = 0.1 cm`
`f_(0) = 9340 Hz -+ 1%) (Deltaf_(0))/(f_(0)) = 1% = (1)/(100)`
`((DeltaV)/(V))_(max) = (Deltaf_(0))/(f_(0)) + (Deltal_(2)+Deltal_(1))/(l_(2)-l_(1)) = (1)/(100) + (0.1 = 0.1)/(74.0 - 24.0) = (1)/(100) + (0.2)/(50.0) = 0.014` .
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