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

Options

A. Bouancy will be less in water at `0^(@)C` than that in water at `4^(@)C`.
B. Bouncy will be more in water at `0^(@)C` than that in water at `4^(@)C`.
C. Bouncy in water at `0^(@)C` will be same as that in water at `4^(@)C`.
D. Bouncy may be more less in water at `4^(@)C` depending on the radius of the sphere.

Answer

A

Explanation

Let V be the volume of the shere and `rho` be the density of water. Buoyancy (F) on sphere due to water is `F=V rho g` or `F prop rho`
Since, `rho_(0^(@)C) lt rho_(4^(@)C)` so `F_(0^(@)C)ltF_(4^(@)C)`.