A tuning fork is used to produce resonance in glass tuve. The length of the air column in the tube can be adjusted by a variable piston. At room temperature of `27^@C` two succesive resonance are produced at 20 cm and 73 cm column length. If the frequency of the tuning fork is 320 Hz. the velocity of sound is air at `27^(@)C` is

Options

A. `330 ms^(-1)`
B. `339 ms^(-1)`
C. `350 ms^(-1)`
D. `300 ms^(-1)`

Explanation

The velocity of sound in air at `27^(@)C` is `v=2(upsilon)[L_(2)-L_(1)]`, where `upsilon` = frequency of tuning fork and `L_(1),L_(2)` are the successive column length.
`therefore v=2xx320[73-20]xx10^(-2)=339.2ms^(-1)~~339ms^(-1)`