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Area and Volume Expansion

An aluminium ...

Question

An aluminium sphere is dipped into water at $15^{\circ} C (γ_{a l u m i n i u m}$ = $69 \times 10^{- 6} /^{\circ} C; γ_{w a t e r} = 214 \times 10^{- 6} /^{\circ} C)$ . If the temperature is increased, the force of buoyancy:

A

will increase

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B

will decrease

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C

will stay the same

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D

will increase or decrease depending on the radius of the sphere

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Solution

The correct option is B will decrease
Comparing the given values, as $γ_{a l u m i n i u m} < γ_{w a t e r}$ ,an apparent shrinkage of the aluminium will take place with respect to water; hence the buoyancy force will decrease.

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