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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 the vessel \( A \) is \( \alpha \), the coefficient of linear expansion of the vessel \( B \) is
[EAMCET 2002]
(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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