A stretched wire under a tension of 4 kg wt is in unison with a tuning fork of frequency 512 Hz. How should the tension be altered to make the wire vibrate in unison with a tuning fork of frequency 256 Hz ?

Explanation

Data : T = 4 kg wt, ` n_(1) = 512 Hz n_(2) = 256` Hz
` n prop sqrt(T)`
`n_(2) /n_(2) = sqrt(T_(1)/T_(2))`
` T_(2)/T_(1) = 4/4 =1 ` kg wt
The tension in the wire should be reduced to 1 kg wt.