A closed cubical box is made of a perfectly insulating material walls of thickness 8cm and the only way for heat to enter or leave the box is through two solid metallic cylindrical plugs, each of cross-sectional area 12cm^(2) and length 8cm, fixed in the opposite walls of the box. The outer surface A on one plug is maintained at 100^(@)C while the outer surface B of the other plug is maintained at 4^(@)C. The thermal conductivity of the material of each plug is 0.5 cal//.^(@)C//cm. A source of energy generating 36 cal//s is enclosed inside the box. Assuming the temperature to be the same at all points on the inner surface, the equilibrium temperature of the inner surface of the box is

A closed cubical box is made of a perfectly insulating material walls

1.	A closed cubical box is made of a perfectly insulating material walls of thickness 8cm and the only way for heat to enter or leave the box is through two solid metallic cylindrical plugs, each of cross-sectional area 12cm^(2) and length 8cm, fixed in the opposite walls of the box. The outer surface A on one plug is maintained at 100^(@)C while the outer surface B of the other plug is maintained at 4^(@)C. The thermal conductivity of the material of each plug is 0.5 cal//.^(@)C//cm. A source of energy generating 36 cal//s is enclosed inside the box. Assuming the temperature to be the same at all points on the inner surface, the equilibrium temperature of the inner surface of the box is
Answer» `62^(@)C` `46^(@)C` `76^(@)C` `52^(@)C` Answer :C