Discuss the laws of transverse vibration in stretched strings.

Explanation

Laws of transverse vibrations in stretched strings: There are three laws of transverse vibrations of stretched strings which 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 vibrating length. Therefore,
`f prop (1)/(l) implies f = (C)/(l)`
`implies " " l xx f = C ` where C is a constant
The law of tension: For a given vibrating length l (fixed) and mass per unit length `mu` (fixed) the frequency varies directly with the square root of the tension T,
`f prop sqrtT`
`implies " " f = A sqrtT` , where A is constant
(iii) The law of mass: For a given vibrating length/ (fixed) and tension T (fixed) the frequency varies inversely with the square root of the mass per unit length `mu` ,
`f prop (1)/(sqrtmu)`
`implies " " f = (B)/(sqrtmu)` , where B is a constant