A sonometer wire having a length of 1.50 m between the bridges vibrates in its second harmonic in resonance with a tuning fork of frequency 256 Hz. What is the speed of the transverse wave on the wire ?

Answer

A, C, D

Explanation

First harmonit be `f_0`.
Second harmonic be `f_1`
`rarr f_1=2f_0`
`f_1=256Hz`
`:.1`st harmonic or fundamental frequency
`=f_0=f_1/2=256/2=128Hz`
`lamda/2=1.5m`
`rarr lamda=3m`
[when fundamental wave is produced] `rarr Wave speed =V`
`=f_0lamda=128xx3=384m/s`