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Q.

An aluminium sphere is dipped into water. Which of the following statement is true? [NCERT Exemplar]

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a

Buoyancy will be less in water at 0° C than that in water at 4° C.

b

Buoyancy will be more in water at 0° C than that in water at 4° C.

c

Buoyancy in water at 0° C will be same as that in water at 4° C.

d

Buoyancy may be more or less in water at 4° C depending on the radius of the sphere.

answer is A.

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Detailed Solution

Let volume of the sphere be V and ρ be its density, then we can write buoyant force as                                 F = V ρ g (g = acceleration due to gravity)⇒                            F ∝ ρ      (∵V and g both are constants)⇒                             F4°CF0°C=ρ4°Cρ0°C>1                    (∵ ρ4∘C>ρ0∘C)Hence, buoyancy will be less in water at 0° C than that in water at 4° C.
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