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An aluminium sphere is dipped into water...

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

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.

Text Solution

Verified by Experts

The correct Answer is:
A
As buoyancy, at `0^(@)C , F_(b) = Vrho_(0)g` and buoyancy at `4^(@)C, F'_(b) = Vrho_(4)g`,
`(f_(b))/(F'_(b)) = (rho_(0))/(rho_(4)) lt 1` (density of water at `4^(@)C` is maximum)
i.e., `F_(b) lt F'_(b)`
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