Question

The coefficient of volume expansion is equal to ____

• A. twice the coefficient of linear expansion
• B. equal to the coefficient of linear expansion
• C. thrice the coefficient of surface expansion
• D. equal to the coefficient of surface expansion

Answer 1

The correct option is A

twice the coefficient of linear expansion

$\alpha$ = Coefficient of linear expansion is the increase in length of an object per unit length per degree rise in temperature.
$\beta$ = Coefficient of surface expansion is the increase in surface area of an object per unit area per degree rise in temperature.
$\gamma$ = Coefficient of volume expansion is the increase in volume of an object per unit volume per degree rise in temperature.

$\alpha =\frac{\beta }{2}=\frac{\gamma }{3}$
So, $\gamma =2\alpha$ and $\gamma =\frac{3}{2}\beta$