A conducting cylindrical shell inner radius R_(1) maintained at a temperature T_(1) and outer radius R_(2) maintained at a temperature T_(2) respectively. Thermal conductivity of the shell varies with distance from the axis as K=(alpha)/(r^(2)). where alpha is constant. The temperature as a function of distance R from the axis of the cylinder is

A conducting cylindrical shell inner radius R_(1) maintained at a temp

1.	A conducting cylindrical shell inner radius R_(1) maintained at a temperature T_(1) and outer radius R_(2) maintained at a temperature T_(2) respectively. Thermal conductivity of the shell varies with distance from the axis as K=(alpha)/(r^(2)). where alpha is constant. The temperature as a function of distance R from the axis of the cylinder is
Answer» `T_(1)-((R^(2)-R_(1)^(2))(T_(2)-T_(1)))/(R_(2)^(2)-R_(1)^(2))` `T_(1)+((r^(2)-R_(2)^(2))(T_(2)-T_(1)))/(R_(2)^(2)-R_(1)^(2))` `T_(1)+((r^(2)-R_(1)^(2))(T_(1)-T_(2)))/(R_(2)^(2)-R_(1)^(2))` `T_(1)+((r^(2)-R_(1)^(2))(T_(2)-T_(1)))/((R_(2)^(2)-R_(1)^(2)))` ANSWER :D