JEE Mains Model Paper 24

rope hangs from a rigid support. A pulse is set by jiggling the bottom end. We want to design a rope in which velocity v of pulse is independent of z, the distance of the pulse from fixed end of the rope. If the rope is very long the desired functionfor mass per unit length µ(z) in terms of µ0 (mass per unit length of the rope at the top (z = 0) , g , v and z is ('g' is acceleration due to gravity)