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A tuning fork of known frequency 256 Hz ...

A tuning fork of known frequency `256 Hz` makes `5` beats per second with the vibrating string of a piano. The beat frequency decreases to `2` beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A

261 Hz

B

251 Hz

C

258 Hz

D

254 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
`f_(1) = 256 ` Hz and `f_(2)` may be 261 to 251.
` n propto sqrtT`
If the tension is increased, the frequency is increased.
If it is 261, then it will be more then 261.
Say 263 , then the number of beats will increase.
If it si 251 Hz,it is possible to get 2 beats /s.
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