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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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An icebox made of 1.5 cm1.5 \mathrm{~cm} thick styrofoam has dimensions 60 cm×60 cm×30 cm60 \mathrm{~cm} \times 60 \mathrm{~cm} \times 30 \mathrm{~cm}. It contains ice at 0∘C0^{\circ} \mathrm{C} and is kept in a room at 40∘C40^{\circ} \mathrm{C}. Find the rate at which the ice is melting. Latent heat of fusion of ice =3.36×105 J kg−1=3.36 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}. and thermal conductivity of styrofoam =0.04 W m−1∘C−1=0.04 \mathrm{~W} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}.
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Correct option: B
0.46 g s−10.46 \mathrm{~g~s}^{-1}
Option B (0.46 g s−10.46 \mathrm{~g~s}^{-1}) is correct because it accurately calculates the rate of heat flow into the icebox and then uses the latent heat of fusion to determine the rate at which the ice melts.

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