1.
A composite string is made up by joining two strings of different masses per unit length μ\mu and 4μ4\mu respectively. The composite string is under the same tension. A transverse wave pulse Y=(6mm)sin(5t+40x)Y = (6\,\text{mm})\sin(5t + 40x), where tt is in seconds and xx in metres, is sent along the lighter string towards the joint. The joint is at x=0x = 0. The equation of the wave pulse reflected from the joint is