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A glass bulb of volume V is filled with two immiscible liquids of densities d and 2d for equal volumes at 20°C. The temperature of the system is raised at 50°C. If the coefficient of linear expansion of glass is $α$ and coefficient of absolute expansion of the lighter liquid is 6α and that of other liquid is 7α , the volume of the liquid that overflows is nearly

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$50 vαd$

$105 vαd$

$75 vαd$

$210 vαd$

answer is A.

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Detailed Solution

$\begin{array}{l} ΔV = \frac{V}{2} [(6 α - 3 α) + (7 α - 3 α)] \times 30 \times d \\ = \frac{V}{2} \times 7 α \times 30 d = 105 Vαd \end{array}$

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