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Thermal Properties of Matter — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsThermal Properties of Matter2 Marks
Question
Two vessels made of two different metals are identical in all respects. They are completely filled with ice at 0°C. The ice in one is melted in 30 minutes and that in another in 10 minutes by heat coming from outside. Compare the thermal conductivities of metals.
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Answer

We know that, $\text{Q}=\frac{\text{KA}(\text{T}_1-\text{T}_2)\text{t}}{\text{l}}$ For given problem, kt = constant or $\text{k}\propto\frac{1}{\text{t}}.$ $\therefore\frac{\text{k} _1}{\text{k}_2}=\frac{\text{t}_2}{\text{t}_1}=\frac{10}{30}=\frac{1}{3}.$

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