Question

A liquid with co-efficient of volume expansion ($\gamma$) is filled in a container of material having co-efficient of linear expansion ($\alpha$). If the liquid overflows on heating, then

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

Answer 1

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

If the coefficient of volume expansion for liquid is greater than the coefficient of volume expansion for the material of the container, the liquid will have greater volume, hence it will overflow.
As given,
${\gamma }_{liquid}$- coefficient of volume expansion for liquid
${\alpha }_{container}$- coefficient of linear expansion for the material of the container
$\therefore {\gamma }_{container}=3{\alpha }_{container}$
$\therefore$ if ${\gamma }_{liquid}$ > ${\gamma }_{container}$, liquid will overflow.