A ball of density is dropped on to a horizontal solid surface

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

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 time

t_1

. Next, the ball is released and its falls through the same height before striking the surface of a liquid of density

d_L

. Neglect all frictional and other dissipative force. Assume the depth of the liquid to be large. If

d < d_L

, obtain an expression (in terms of

d

t_1

and

d_L

) for the time

t_2

the ball takes to come back to the position from which it was released. (A)

2t_1

(B)

\frac{dL_1}{(d_L - d)}

(C)

\frac{d_L t_1}{(d_L - d)}

(D)

\frac{2dL_1}{(d_L - d)}