. A ball of density d is dropped on to a horizontal solid surface. It bounces elastically from the surface and returns to its original position in a tim

(a)         If d < dL, obtain an expression (in terms of d, t1 and dL) for the time t2 the ball takes to come back to the position from which it was released.

              (b)   Is the motion of the ball simple hormonic?

              (c)   If d = dL, how does the speed of the ball depend on its depth inside the liquid? Neglect all frictional and other dissipative force. Assume the depth of the liquid to be large.

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