Discuss the laws of transverse vibration in stretched strings.

Explanation

There are thre laws of transverse vibrations of stretched string that are given as follows :
(i) The law of length : For a given wire with tension T( which is fixed) and mass per unit length `mu` (fixed) the frequency varies inversely with the vibtrating length. therefore.
`f prop (1)/(f) rArr f=(C)/(l)`
`rAr lxx f=C` when C is a constant.
(ii) The law of tension : For a given vibrating length `mu` (fixed) the frequency varies directly with the squre root of the tension T,
`f prop sqrt(T)`
`rArr f=A sqrt(T)` When A is a constant.
(iii) The law of mass : For a given vibrating length l (fixed) and tension T( fixed) the frequency varies inversely with the square root of the mass per unit length `mu`.
`f prop (1)/ (sqrt(mu))` when B is constant.