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.

Options

A. `5.03m//s`
B. `0.503m//s`
C. `2.51m//s`
D. `0.251m//s`

Answer

A

Explanation

`l_(1)=20.0cm to Deltal_(1)=0.1 cm`
`l_(2)=74.0cm to Deltal_(2)=0.1 cm`
`{:(f_(0)=(340HZ+-1%),(Deltaf_(0))/(f_(0))=1%=(1)/(100)):} `
`((dv)/(v))_(max)=(Deltaf_(0))/(f_(0))+(Deltal_(2)+Deltal_(1))/(l_(2)-l_(1))`