A tuning fork is used to produce resonan...

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

`300 m//s`

`330 m//s`

`350 m//s`

`339 m//s`

Text Solution

Verified by Experts

The correct Answer is:

We have `f _(1) = (v)/(2L)`
Taking `L = L _(2) ` we get, `f _(1) = (v)/(2 (L _(2) - L _(1)))`
`therefore v = 2f _(1) (L_(2) -L_(1))`
`= 2 xx 320 xx (0.73 -0.20)`
`= 339.2 m//s`
`~~ 339 m//s`

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