A cylinder of radius \( R \) is surrounded by a cylindrical shell of inner radius \( R \) and ou....

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A cylinder of radius \( R \) is surrounded by a cylindrical shell of inner radius \( R \) and outer radius \( 2 R \). The thermal conductivity of the material of the inner
\( \mathrm{P} \)
cylinder is \( K_{1} \) and that of the outer cylinder is \( K_{2} \). Assuming no loss of heat, the effective thermal
W
conductivity of the system for heat flowing along the length of the cylinder is:
(1) \( \frac{K_{1}+K_{2}}{2} \)
(2) \( K_{1}+K_{2} \)
(3) \( \frac{2 K_{1}+3 K_{2}}{5} \)
(4) \( \frac{K_{1}+3 K_{2}}{4} \)


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