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AP EAMCET · PHYSICS · Thermal Properties of Matter

In the figure shown, \(\mathrm{AB}\) is a rod of length \(30 \mathrm{~cm}\), area of cross-section \(1 \mathrm{~cm}^2\) and thermal conductivity \(336 \mathrm{SI}\) units. The ends \(\mathrm{A}\) and \(\mathrm{B}\) are at constant temperatures \(20^{\circ} \mathrm{C}\) and \(40^{\circ} \mathrm{C}\) respectively. A point \(\mathrm{C}\) of the rod is connected to ice at \(0^{\circ} \mathrm{C}\) in a thermally insulated box \(\mathrm{D}\) through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is \(\left(\mathrm{L}_{\mathrm{ice}}=80 \mathrm{cal} \mathrm{g}^{-1}\right)\)

  1. A \(84 \mathrm{mgs}^{-1}\)
  2. B \(84 \mathrm{gs}^{-1}\)
  3. C \(20 \mathrm{mgs}^{-1}\)
  4. D \(40 \mathrm{mgs}^{-1}\)
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(D) \(40 \mathrm{mgs}^{-1}\)

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