Q.

As shown in Fig., AB is a rod of length 30 cm and area of cross section 1.0 cm2 and thermal conductivity 336 SI units. The ends A and B are maintained at tempera­tures 20°C and 40°C, respectively. A point C of this rod is connected to a box D, containing ice at 0°C, through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is (assume latent heat of fusion for ice Lf = 80 cal/g)

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a

84 mg/s

b

84 g/s

c

20 mg/s

d

40 mg/s

answer is D.

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Detailed Solution

Thermal resistance of AC=LKA=0.1336×10−4=103336=RThermal resistance of BC = 0.2336×10−4=2RHeat flow rates areH1=20R;H2=402R=20RH=H1+H2=40R=40×336103=13440103=13.44  WRate of melting of ice =HLf=13.44/4.280g/s=40 mg/s
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As shown in Fig., AB is a rod of length 30 cm and area of cross section 1.0 cm2 and thermal conductivity 336 SI units. The ends A and B are maintained at tempera­tures 20°C and 40°C, respectively. A point C of this rod is connected to a box D, containing ice at 0°C, through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is (assume latent heat of fusion for ice Lf = 80 cal/g)