Calculate time of immersion of body into the liquid, Physics

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A streamlined body given relative density ρ1 falls into air from a height h1 on surface of a liquid of relative density ρ2 where ρ2 > ρ1. find out the time of immersion of body into the liquid will be... ?

Solution: let assume answer is t

Then formula is (t/2)(p2*g-p1*g)=√(2h1/g)

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