Question

A rectangular block is heated from $0^{\circ }C$ to ${100}^{\circ }C$. The percentage increase in its length is 0.10%. What will be the percentage increase in its volume?

• A. 0.03%
• B. 0.10%
• C. 0.30%
• D. None of these

Answer 1

The correct option is C 0.30%

We know that $\frac{\Delta l}{l}=\alpha \Delta T$

Cubical Expansion $\gamma =3\alpha$

$\frac{\Delta V}{V}=\gamma \Delta T=3\alpha \Delta T=3\frac{\Delta l}{l}$

As $\frac{\Delta l}{l}\times 100=0.1\%$ then $\frac{\Delta V}{V}\times 100=0.3\%$

The percentage increase in volume is $0.3\%$