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 u (fixed) the frequency varies inversely with the vibrating length. Therefore,
`f prop 1/l rArr f = C/l`
`rArr l xx f = C` , where C is a constant.
(ii) 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`
` rArr f = A sqrtT` where 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)`
` rArr f = (B)/(sqrtmu)` where B is a constant