If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of `512 Hz`, first resonance was observed at` 30.7 cm` and second was obtained at `63.2 cm`, then maximum possible error in velocity of sound is (consider actual speed of sound in air is `332m//s

Options

A. 256 cm/sec
B. 92 cm/sec
C. 102.4 cm/sec
D. 204.8 cm/sec

Answer

D

Explanation

`v=flamda=2f(l_(2)-l_(1))`
`=512xx2(63.2-30.7)xx10^(-2)=332.8ms^(-1)`
`(Deltav)/(v)=((Deltalamda)/(lamda))=((Deltal_(2)+Deltal_(1))/(l_(2)-l_(1)))`
`rArr Deltav=v((Deltal_(2)+Deltal_(1))/(l_(2)-l_(1)))=(332.8)((0.1+0.1)/(32.5))=2.048 m//s`.