Question

The coefficient of linear expansion($\alpha$) of a solid is equal to ____.

• A. $\beta$
• B. $2\beta$
• C. $\frac{\beta }{2}$
• D. $3\beta$

Answer 1

The correct option is C

$\frac{\beta }{2}$

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

We know that,
$\alpha =\frac{\beta }{2}=\frac{\gamma }{3}$
So, $\alpha =\frac{1}{2}$ times of $\beta$