A wire of uniform cross-section is stretched berween two points I w apart. The wire is fixed at one end und u weight of 9 kg is hung over a pulley at the other end produces fundamental frequency of 750 Hz.
(a) What is the velocity of transverse waves propagating in the wire ?
(b) If now the suspended weight is submerged in a liquid of density (5/9) that of the weight, what will be the velocity and frequency of the waves propagating along the wire ?

Explanation

In case of fundamental vibrations of string
`(lambda//2) =L.i.e., lambda= 2xx1 =2m`.

Now as `v =f lambda and f = 750 Hz, V_T =2 xx 750 = 1500 m//s`
i.e., `lambda=2m, f = 750 Hz and V_T =1500 m//s`