First slide

Thermal expansion

Question

Co-efficient of apparent expansions of a liquid in Gold vessel is G and when heated in a silver vessel is S. If coefficient of linear expansion of Gold is A, coefficient of linear expansion of Silver is

Easy

A

$\large \frac {G+S-3A}{3}$
B

$\large \frac {G-S+3A}{3}$
C

$\large \frac {G+S+3A}{3}$
D

$\large \frac {G-S+A}{3}$

Solution

            γ_a       α
Gold → G        A
Silver → S      α^' = ?
Real expansion γ_R = constant
$\large (\gamma_a+3\alpha_g)_{Gold}=(\gamma_a+3\alpha_g)_{silver}$
$\large G+3A=S+3{\alpha}'\Rightarrow {\alpha}'=\frac {G-S+3A}{3}$

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