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:

will increase

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will decrease

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will stay the same

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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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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:

Q. A solid sphere of iron at 2^oC is lying at the bottom of a bucket full of water at 2^oC. If the temperature of water is increased to 3^oC the buoyant force on the sphere due to water will
A) increase
B) be unchanged
C)Decrease
D) Increase or decrease depending on the numerical valves of coefficient of expansion of water and iron.

An aluminium sphere is dipped into water at 15∘C(γaluminium = 69 × 10−6/∘C;γwater=214 × 10−6/∘C). If the temperature is increased, the force of buoyancy:

The correct option is B will decrease Comparing the given values, as γaluminium<γwater,an apparent shrinkage of the aluminium will take place with respect to water; hence the buoyancy force will decrease.

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:

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.