Question

A liquid having co-efficient of cubical expansion $\gamma$ is filled in the container having co-efficient of linear expansion as $\alpha$. If, on heating, the liquid overflows, then which of the following relations is correct ?

• A. $\gamma = 2\alpha$
• B. $\gamma < 2\alpha$
• C. $\gamma >3\alpha$
• D. $2\gamma =3\alpha$

Answer 1

Answer: (C)

$\gamma >3\alpha$

Answer 2

Co-efficient of cubical expansion of the liquid is 3$\alpha$. When $\gamma > 3 \alpha$, increase in the volume of the liquid is more than that of the vessel.