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Q.

Co-efficient of apparent expansion 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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a

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

b

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

c

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

d

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

answer is B.

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Detailed Solution

$γ_{r e a l} = γ_{a p p a r e n t} + γ_{v e s s e l}$

$\Rightarrow G + 3 A = s + 3 α$

$\Rightarrow α = \frac{G - S + 3 A}{3}$

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