Q. The apparent coefficient of expansion of a liquid when heated in a copper vessel is $C$ and when heated in a silver vessel is $S.$ If $A$ is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is
A) $\frac{C + S - 3A}{3}$
B) $\frac{C + 3A - S}{3}$
C) $\frac{S + 3A - C}{3}$
D) $\frac{C + S + 3A}{3}$
Explanation
(b) $\gamma_{r} = \gamma_{a} + \gamma_{v};$ where $\gamma_{r} =$ coefficient of real expansion,
$\gamma_{a} =$ coefficient of apparent expansion and
$\gamma_{v} =$ coefficient of expansion of vessel.
For copper $\gamma_{r} = C + 3\alpha_{Cu} = C + 3A$
For silver $\gamma_{r} = S + 3\alpha_{Ag}$
$= C + 3A = S + 3\alpha_{Ag} \Rightarrow \alpha_{Ag} = \frac{C - S + 3A}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.