The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_1$ and $\gamma_2$ respectively. If the coefficient of linear expansion of vessel $A$ is $\alpha$, the coefficient of linear expansion of vessel $B$ is
The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_1$ and $\gamma_2$ respectively. If the coefficient of linear expansion of vessel $A$ is $\alpha$, the coefficient of linear expansion of vessel $B$ is
- A
$\frac{{\alpha {\gamma _1}{\gamma _2}}}{{{\gamma _1} + {\gamma _2}}}$
- B
$\frac{{{\gamma _1} - {\gamma _2}}}{{2\alpha }}$
- C
$\frac{{{\gamma _1} - {\gamma _2} + \alpha }}{3}$
- D
$\frac{{{\gamma _1} - {\gamma _2}}}{3} + \alpha $
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- [IIT 1999]
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