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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
The coefficient of apparent expansion of a liquid in a copper vessel is $C$ and in a silver vessel is $ S$. The coefficient of volume expansion of copper is $\gamma_c$. What is the coefficient of linear expansion of silver?
A
$\frac{{(C + {\gamma _c} + S)}}{3}$
B
$\frac{{(C - {\gamma _c} + S)}}{3}$
C
$\frac{{(C + {\gamma _c} - S)}}{3}$
D
$\frac{{(C - {\gamma _c} - S)}}{3}$
Solution
$\gamma_{a c}=\gamma_{l}-\gamma_{c}$
$\therefore C=\gamma_{l}-\gamma_{c} \ldots .(1)$
$\gamma_{a s}=\gamma_{l}-\gamma_{s}$
$\therefore S=\gamma_{l}-\gamma_{s}$
From (1) and (2)
$S+\gamma_{s}=C+\gamma_{c}$
$\gamma_{s}=C-S+\gamma_{c}$
$3 \alpha_{s}=C-S+\gamma_{c}$
$\Rightarrow \alpha_{s}=\frac{C-S+\gamma_{c}}{3}$
Standard 11
Physics
