A body of density ρ ′ is dropped from rest at a height h into a lake of density ρ where ρ ρ ′ neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface:

Question

A body of density ρ ′ is dropped from rest at a height h into a lake of density ρ where ρ > ρ ′ neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface:, ρ − ρ ′ h ​, ρ h ρ ′ ​, ρ − ρ ′ h ρ ′ ​, ρ − ρ ′ h ρ ​

MARKS App · Accepted Answer

The effective acceleration of the body g ′ = ( 1 − ρ ′ ρ ​ ) g Now, the depth to which the body sinks h ′ = ( 2 g ′ u 2 ​ ) = 2 g ′ 2 gh ​ = g ′ gh ​ = ρ − ρ ′ h × ρ ′ ​

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