Question

A metal ball immersed in water weighs $w_1$ at $5^{\circ }Cand{w}_2$ 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. Insufficient information

Answer 1

The correct option is B $w_1<w_2$

Weight of immersed ball = mg -buoyancy force

Buoyancy force is equal to weight of liquid displaced.

now when we increase the temperature both will expand but expansion in water will be more,hence the mass of volume displaced will decrease.

Hence, $w_1<w_2$.