1.

A body of density `rho` is dropped from reat from a height h into a lake of density `sigma(sigmagtrho)`. The maximum depth the body sinks inside the liquid is (neglect viscous effect of liquid)A. `(hrho)/(sigma-rho)`B. `(h sigma)/(sigma-rho)`C. `(h rho)/(sigma)`D. `(h sigma)/(rho)`

Answer» Correct Answer - A
Velocity of body just before touching the lake surface is,
`v=sqrt(2gh)`
Retardation in the lake ,
`a=("upthrust-weight")/("mass")`
`=(V rhog-V rhog)/(Vrho) =((sigma-rho)/(rho))g`
Maximum depth `d_(max)=(v_2)/(2a)=(h rho)/(sigma-rho)` .


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