The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in a silver vessel is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

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Solution

The correct option is B

$γ_{r} = γ_{a} + γ_{v}$ ; where $γ_{r}$ = coefficient of real expansion, $γ_{a}$ = coefficient of apparent expansion and $γ_{v}$ = coefficinet of expansion of vessel.
For copper $γ_{r} = C + 3 α_{C u} = C + 3 A$
For silver $γ_{r} = S + 3 α_{A g}$
$\Rightarrow C + 3 A = S + 3 α_{A g} \Rightarrow α_{A g} = \frac{C - S + 3 A}{3}$

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The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in a silver vessel is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

The correct option is B γr=γa+γv; where γr = coefficient of real expansion, γa = coefficient of apparent expansion and γv = coefficinet of expansion of vessel. For copper γr=C+3 αCu=C+3A For silver γr=S+3 αAg ⇒C+3A=S+3αAg⇒αAg=C−S+3A3