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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

`256+5Hz`

B

`256+2Hz`

C

`256-2Hz`

D

`256-5Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
Suppose `n_P=` frequency of piano`=?`
`(n_ppropsqrtT)`
`N_f=`Frequency of tuning fork `=256Hz`
`x=`beat frequency `=5bps` which is decreasing `(5rarr2)` after clanging the tension of piano wire also, tension of piano wire is increasing so `n_Pdarr` Hence `n_puarr-n_f=xdarr` wrong
`n_f-n_puarr=xdarr` correct
`impliesn_p=n_f-x=256-5Hz`.
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