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As shown in Fig. AB is rod of length 30 cm and area of cross section 1.0`cm^2` 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 `L_f=80 cal//g`)

A

`"84 mg s"^(-1)`

B

`"84 m s"^(-1)`

C

`"20 mg s"^(-1)`

D

`"40 mg s"^(-1)`

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The correct Answer is:
D
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