A spherical shell of inner radius R_(1) and outer radius R_(2) is having variable thermal conductivity given by K=a_(0)Txxr, where a_(0) is constant and T is temperature in kelvin and r is the distance from the centre. Two surface of the shell are maintained at temperature T1 (inner surface) and T_(2) (outer surface), respectively (T_(1)gt T_(2)). The heat current flowing through the shell would be

A spherical shell of inner radius R_(1) and outer radius R_(2) is havi

1.	A spherical shell of inner radius R_(1) and outer radius R_(2) is having variable thermal conductivity given by K=a_(0)Txxr, where a_(0) is constant and T is temperature in kelvin and r is the distance from the centre. Two surface of the shell are maintained at temperature T1 (inner surface) and T_(2) (outer surface), respectively (T_(1)gt T_(2)). The heat current flowing through the shell would be
Answer» `(4PI a_(0)(T_(1)^(2)-T_(2)^(2)))/(R_(2)-R_(1))xxR_(1)R_(2)` `(4pi a_(0)R_(1)^(2)R_(2)^(2)(T_(1)^(2)-T_(2)^(2)))/(R_(2)^(2)-R_(1)^(2))` `(4pi a_(0)(T_(1)^(2)-T_(2)^(2))R_(1)R_(2))/(R_(2)-R_(1))` `(4pi a_(0)(T_(1)^(2)-T_(2)^(2))(R_(1)+R_(2))^(2))/(R_(2)-R_(1))` Answer :B