A cylinder of radius R/2 is surrounded by a cylindrical shell of inner radius R/2 and outer radius R. The thermal conductivity of the material of the inner cylinder is K and that of the outer cylinder is 2K. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is:
1
3K
2
7K/4
3
2K/3
4
none of these