Question

When a liquid taken in along cylindrical vessel of material with linear coefficient of expansion($\alpha$) is heated, the level of liquid did not change. The volume coefficient of expansion of liquid is :

• A. $\frac{\alpha }{3}$
• B. $3\alpha$
• C. $\alpha$
• D. ${\alpha }^3$

Answer 1

The correct option is B $3\alpha$

${\gamma }_r={\gamma }_a+{\gamma }_g$
Since the level of the liquid did not change on heating, ${\gamma }_a=0$
$\therefore {\gamma }_r={\gamma }_g=3{\alpha }_g$