A rod of length `L` with sides fully insulated is made of a material whose thermal conductivity `K` varies with temperature as `K=(alpha)/(T)` where `alpha` is constant. The ends of rod are at temperature `T_(1)` and `T_(2)(T_(2)gtT_(1))` Find the rate of heat flow per unit area of rod .

Options

A. `T_1(T_2/T_1)^(x/L)`
B. `x/Lin T_2/T_1`
C. `T_1e^((T_2x)/(T_1L))`
D. `T_1 + (T_2-T_1)/Lx`

Answer

A