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A solid body X of very large heat capaci...

A solid body X of very large heat capacity is kept in an atmosphere whose temperature is 300 K. The body X is connected to a rod of length 1 m and cross sectional area S, as shown in the figure. Thermal conductivity of rod AB is `0.0567W//mK`. Assuming that there is no heat exchange with the surrounding except fom the end B of the rod i.e., neither by any surface of X nor by the curved surface of rod. The end B has emissivity `e=0.8`. If the steady state temperature of the end B is 400 K then find the temperature of X in steady state. (Stefan constant `sigma-5.67xx10^(-8)W//m^(2)K^(4)`)

A

14400 K

B

12600 K

C

13000 K

D

12000 K

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The correct Answer is:
A
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