An aluminium sphere is dipped into water. Whi | vedclass

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(B) The buoyant force $F_b$ acting on a submerged object is given by Archimedes' principle: $F_b = V \rho g$,where $V$ is the volume of the displaced

Vedclass · Accepted Answer

Buoyancy will be less in water at $0 \ ^\circ C$ than that in water at $4 \ ^\circ C$

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(B) The buoyant force $F_b$ acting on a submerged object is given by Archimedes' principle: $F_b = V \rho g$,where $V$ is the volume of the displaced liquid,$\rho$ is the density of the liquid,and $g$ is the acceleration due to gravity.The density of water is maximum at $4 \ ^\circ C$ $(\rho_4 \approx 1000 \ kg/m^3)$ and is lower at $0 \ ^\circ C$ $(\rho_0 \approx 999.8 \ kg/m^3)$.Since the volume of the aluminium sphere $V$ remains constant,the buoyancy at $0 \ ^\circ C$ is $F_b = V \rho_0 g$ and at $4 \ ^\circ C$ is $F'_b = V \rho_4 g$.Comparing the two,since $\rho_0 Therefore,the buoyancy is less in water at $0 \ ^\circ C$ than in water at $4 \ ^\circ C$.

An aluminium sphere is dipped into water. Which of the following is true?

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