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Q.

An aluminium sphere is dipped into water at 10°C. If the temperature is increased, the force of buoyancy

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a

Will increase

b

Will decrease

c

Will remain constant

d

May increase or decrease depending on the         radius of the sphere.

answer is B.

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Detailed Solution

Let be the density of water at 10°C, then buoyant foce at 10°C is, where V0 is the volume of the sphere at 10°C ., and be coefficient of volume expansion of aluminimum and water respectively, then for a temperature rise of t°C, and Since
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