A \( 100 \mathrm{~cm} \) long cylindrical flask with inner and outer diameters \( 2 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \) respectively is completely filled with ice as shown in the figure. The constant temperature outside the flask is \( 40^{\circ} \mathrm{C} \). (Thermal conductivity of the flask is \( \left.0.693 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}, L_{\text {ice }}=80 \mathrm{cal} / \mathrm{gm}\right) \).
(A) Rate of heat flow from outside to the flask is \( 80 \pi \mathrm{J} / \mathrm{s} \)
(B) The rate at which ice melts is \( \frac{\pi}{4200} \mathrm{Kg} / \mathrm{s} \)
(C) The rate at which ice melts is \( 100 \pi \mathrm{Kg} / \mathrm{s} \)
(D) Rate of heat flow from outside to flask is \( 40 \pi \mathrm{J} / \mathrm{s} \)
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