Question

The correct relation between coefficient of linear expansion $\alpha$, coefficient of surface expansion $\beta$ and coefficient of volume expansion$\gamma$ is

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

Answer 1

The correct option is C

$\alpha =\frac{\beta }{2}=\frac{\gamma }{3}$

$\alpha$ = 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.

$\alpha =\frac{\beta }{2}=\frac{\gamma }{3}$