When does a body sink in a liquid? Explain.

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(A) body sinks in a liquid when its weight $(W)$ is greater than the buoyant force $(F_B)$ acting on it.Mathematically,let $\rho_b$ be the density of

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When the density of the body is greater than the density of the liquid.

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(A) body sinks in a liquid when its weight $(W)$ is greater than the buoyant force $(F_B)$ acting on it.Mathematically,let $\rho_b$ be the density of the body and $\rho_l$ be the density of the liquid.The weight of the body is $W = V \rho_b g$,where $V$ is the volume of the body.The buoyant force is $F_B = V \rho_l g$.For the body to sink,$W > F_B$.Substituting the expressions,$V \rho_b g > V \rho_l g$,which simplifies to $\rho_b > \rho_l$.Therefore,a body sinks if the density of the body is greater than the density of the liquid.

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