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

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

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

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

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

answer is A.

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Detailed Solution

As buoyancy at $0°C$ , $F_{b} = V ρ_{o g} a n d$ buoyancy at 4°C $F_{b}^{'} = V ρ_{o g},$

$\frac{F_{b}}{F_{b}^{'}} = \frac{ρ_{0}}{ρ_{4}} < 1$ (density of water at 4°C is maximum)

i.e. $F_{b} < F_{b}^{'}$

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