A certain rod of uniform area of cross section $$A$$ with $$A=1.0\ \text{cm}^2$$ and length $$2\ \text{m}$$ is thermally insulated on its lateral surface. The thermal conductivity $$K$$ of the material of the rod varies with temperature $$T$$ as $$K=\alpha/T$$, where $$\alpha$$ is a constant. The two ends of the rod are maintained at temperatures $$T_1=90^\circ\text{C}$$ and $$T_2=10^\circ\text{C}$$. The correct options are