JEE Main 201816 Apr, Morning shiftPhysicsHardOscillations and Waves185× since 2002
An oscillator of mass M is at rest in its equilibrium position in a potential
V = k(x X)². A particle of mass m comes from right with speed u and collides completely inelastically with M and sticks to it. This process repeats every time the oscillator crosses its equilibrium position. The amplitude of oscillations after 13 collisions is : (M = 10, m = 5, u = 1, k = 1)