Properties Of Solids And Liquids Question 413
Question: The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and that 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
Options:
A) $ \frac{C+S-3A}{3} $
B) $ \frac{C+3A-S}{3} $
C) $ \frac{S+3A-C}{3} $
D) $ \frac{C+S-A}{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
[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
From copper: $ {\gamma _{r}}=C+3{\alpha _{cu}}=C+3A $
For silver, $ {\gamma _{r}}=S+3{\alpha _{Ag}} $
$ \Rightarrow C+3A=S+3{\alpha _{Ag}}\Rightarrow {\alpha _{Ag}}=\frac{C-S+3A}{3} $
