Question

A liquid with coefficient of volume expansion $\gamma$ is filled in a container of a material having coefficient of linear expansion $\alpha$. If the liquid overflows on heating, then:

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

Answer 1

The correct option is B $\gamma >3\alpha$

Volumetric coefficient of expansion of material is $3a.$

As the system is heated liquid started flowing out of box, it means volumetric coefficient of expansion of liquid is greater then of the container$.$

So$,$ $\gamma >3a.$

Hence,

option $\left(B\right)$ is correct answer.