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

\frac{C + S - 3 A}{3}

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\frac{C + 3 A - S}{3}

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\frac{S + 3 A - C}{3}

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\frac{C + S + 3 A}{3}

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Solution

The correct option is C $\frac{C + 3 A - S}{3}$
$γ_{r} = γ_{a} + γ_{g}$
Since $γ_{r}$ is same for the liquid,
$γ_{S} + 3 α_{S} = γ_{C} + 3 α_{C}$
$\Rightarrow S + 3 α_{S} = C + 3 A$
$\Rightarrow α_{S} = \frac{C + 3 A - S}{3}$

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

The correct option is C C+3A−S3γr=γa+γgSince γr is same for the liquid,γS+3αS=γC+3αC⇒S+3αS=C+3A⇒αS=C+3A−S3

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

The correct option is C $\frac{C + 3 A - S}{3}$
$γ_{r} = γ_{a} + γ_{g}$
Since $γ_{r}$ is same for the liquid,
$γ_{S} + 3 α_{S} = γ_{C} + 3 α_{C}$
$\Rightarrow S + 3 α_{S} = C + 3 A$
$\Rightarrow α_{S} = \frac{C + 3 A - S}{3}$