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A tuning fork of frequency 480 Hz produc...

A tuning fork of frequency 480 Hz produces 10 beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before

A

`460Hz`

B

`480Hz`

C

`490Hz`

D

`470Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
`n_(1)=480Hz`, `n_(2)=?` , `Deltan=10` beats/s
`T. gt Timpliesn_(2)^(1) gt n_(2)` as `n_(2) prop sqrt(T)` and given `Deltan. lt Deltan` , this is possible when `n_(1)-n_(2)=Deltan`
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