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The resonance lengths obtained by a stud...

The resonance lengths obtained by a student using a fork in resonance apparatus are `15.6 cm` and `47.6 cm`. If velocity of sound in air at room temperature is `327.5 m//s,` the frequency of fork is

A

`512 Hz`

B

`256Hz`

C

`520 Hz`

D

`250Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `l_(1)=15.6cm, l_92)=47.6cm`
`upsilon=327.5 m//s, v=?`
From` upsilon=2v(l_(2)-l_(1))`
`v=(upsilon)/(2(l_(2)-l_(1)))=(327.5xx100)/(2(47.6-15.6))=512Hz`
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