#### Question - 2

Two conducting cylinders are connected in series with each other. They are kept between two heat baths at temperatures T_{1} = 200 K and T_{2} = 400 K as shown in the figure. Radius of the smaller cylinder is half the radius of bigger one, whereas, both of them have same length L. Thermal conductivities of the materials of the larger and the smaller cylinders are K_{1} and K_{2} respectively. In steady state, if temperature at the junction of the two cylinders is 300 K. then \(\left(\frac{\mathrm{K}_{1}}{\mathrm{~K}_{2}}\right)\) will be ________.

- A 0.13
- B 0.25
- C 0.15
- D 0.45