Question

Relation between extension and velocity

Answer 1

The velocity of transverse wave in a string under tension T and mass per unit length μ is given by, v=√T/μ. The tension in the string is related to its extension x by Hooke's law, T=kx, T = k x , where k is a constant. The tension is kx in the first case and 1.5kx 1.5 k x in the second case.