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Q.

Coefficient of apparent expansions of a liquid in gold vessel is ‘G’ & 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

G+S−3A3

b

G−S+3A3

c

G+S+3A3

d

G−S+A3

answer is B.

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Detailed Solution

coefficient of real expansion of liquid is same in gold and silver container γRgold=γRsilver γa+3αggold=γa+3αgsilver;here γa=coefficient of apparent expansion of liquid;αg is coefficient of linear expansion of container substitute the given values G+3A=S+3α G+3A−S=3α α=G−S+3A3=coefficient of linear expansion of silver
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