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Two identical vessels are filled with equal amounts of ice. The vessels are made from different materials. If the ice melts in the two vessels in times $t_{1} and t_{2}$ respectively, then their thermal conductivities are in the ratio

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${t_{2}}^{2} : {t_{1}}^{2}$

$\frac{t_{1}}{t_{2}}$

$\frac{t_{2}}{t_{1}}$

${t_{1}}^{2} : {t_{2}}^{2}$

answer is B.

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Detailed Solution

mL = $\frac{KA (θ_{1} - θ_{2}) t}{d}$

In the given problem, Kt = constant

$∴ \frac{K_{1}}{K_{2}} = \frac{t_{2}}{t_{1}}$

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