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A string under a tension of 100 N , emit...

A string under a tension of `100 N` , emitting its fundamental mode , gives `5 beats//s` with a tuning fork. When the tension is increased to `121 N`, again `5 beats//s` are heard. The frequency of the fork is

A

`105 Hz`

B

`95 Hz`

C

`210 Hz`

D

`190 Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
`f prop sqrt(T)`
`(f + 5)/( f - 5) = sqrt((121)/(100))`
`10 f + 50 = 11 f - 55`
`f = 105 Hz`
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