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

Step-by-step solution

The velocity of the body when it reaches the surface of the lake is aligned & a g = - & a = ( - ) g aligned If a is the acceleration and retardation in the liquid then v ^2=2 ad by eq. (1) and (4) aligned & 2 ad =2 gh & d = g a h d = - h aligned