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A ball of density rho(0) falls from rest...

A ball of density `rho_(0)` falls from rest from a point P onto the surface of a liquid of density `rho` in the time T. It enters the liquid, stops, moves up, and returns to P in a total time 3 T. neglect viscosity, surface tension and splashing find the ratio of `(rho)/(rho_(0))`

Text Solution

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It strike the surface of liquid with velocity `v_(1)=g T`
In water (liquid) its time of flight `T=(2v_(1))/(((rho)/(rho_(0))-1)g)=(2gT)/(((rho)/(rho_(0))-1)g)implies(rho)/(rho_(0))=3`
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