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  • An aluminium sphere is dipped into water. Which of the following is true? a) buoyancy will be less in water at 0oC than that in water at 4oC

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

a) buoyancy will be less in water at 0^{\circ}C than that in water at 4^{\circ}C

b) buoyancy will be more in water at 0^{\circ}C than that in water at 4^{\circ}C

c) buoyancy in water at 0^{\circ}C will be same as that in water at 4^{\circ}C

d) buoyancy may be more or less in water at 4^{\circ}C depending on the radius of the sphere

Answers (1)

We know that,

Buoyant force (B.F.) =V^{'}\rho lg

Where, V’ = volume of displaced liquid by dipped body

\rho l = density if liquid

Now, at 40C, the density of water is maximum, thus, the density of water and buoyant force will also be maximum at 40C.

B.F. \propto P_{l}

Thus,

\frac{F_{A}}{F_{0}}= \frac{\rho _{A}}{\rho _{0}}, where, \rho_{A}> \rho _{0}

\frac{F_{A}}{F_{0}}>1or

F_{A}>F_{0}

Posted by

infoexpert24

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