A body of density ' ' is dropped from rest at a height ' h ' into a lake of density ' ' ( > ) . The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces)

Step-by-step solution

Initial velocity of the ball = 2 gh Upward force: aligned & F= V g- V g & ( V) a=V g( - ) & a= g( - ) aligned Final velocity is zero when it sinks. aligned & v^2-u^2=2 as & 0-( 2 g h )^2=2 g( - ) H & H= h ( - ) aligned