Question

A metal ball immersed in water weighs $W_{1}$ at $0^{\circ} C$ and $W_{2}$ at $50^{\circ} C$. The coefficient of cubical expansion of metal is less than that of water. Then :

• A. $W_{1} > W_{2}$
• B. $W_{1} < W_{2}$
• C. $W_{1}=W_{2}$
• D. Data is insufficient

Answer 1

Answer: (B)

The apparent weight of a body submerted in a liquid is given as $W_{a p p}=W\left[1-\left(\rho_{L} / \rho_{S}\right)\right]$ where $\rho_{L}$ is the density of liquid and $\rho_{S}$ is the density of solid body. On increasing temperature water expands more than metal hence density of water decreases more so option (B) is correct.