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When an air column at 27^(@)C and a tuni...

When an air column at `27^(@)C` and a tuning fork are sounded together, 5 beats per second are produced. The frequency of the fork is less than that of air column. No beat is heard at `-3^(@)C`. Determine the frequency of the fork.

A

`70Hz`

B

`147Hz`

C

`104Hz`

D

`90Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(1)-n_(2)=5` at `T_(1)=27+273=300K`
`n_(2)=n` at `T_(2)=-3+273=270K`
`n prop V prop sqrt(T)implies(n_(1))/(n_(2))=sqrt((T_(1))/(T_(2)))=sqrt((300)/(270))=sqrt((10)/(9))`
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