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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

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

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

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

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

answer is B.

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Detailed Solution

$γ_{a} α$
Gold $\to$ G A
Silver $\to$ S $α$ ¹ = ?
Real expansion $γ_{R}$ constant
${(γ_{a} + 3 α_{g})}_{Gold} = {(γ_{a} + 3 α_{g})}_{Silver} G + 3 A = S + 3 α^{1} \Rightarrow α^{1} = \frac{G - S + 3 A}{3}$

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