The apparent coefficient of expansion of a liquid when heated in a brass vessel is \( X \) and w...

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The apparent coefficient of expansion of a liquid when heated in a brass vessel is \( X \) and when heated in a tin vessel is \( Y \). If \( \alpha \) is the coefficient of linear expansion for brass, the coefficient of linear expansion of tin is
(a) \( \frac{X+Y+3 \alpha}{3} \)
(b) \( \frac{X+3 \alpha-Y}{3} \)
(c) \( \frac{X+Y-2 \alpha}{3} \)
(d) \( \frac{(X+Y-2 \alpha)}{2} \)
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