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  1. GATE2019-1-55
  2. GATE2019-1-55
  3. GATE2019-1-55
  4. GATE2019-1-55

A slender rod of length $L$, diameter $d$ $(L ยป d)$ and thermal conductivity $k_1$ is joined with another rod of identical dimensions, but of thermal conductivity $k_2$, to form a composite cylinderical rod of length $2L$. The heat transfer in radial direction and contact resistance ae negligible. The effective thermal conductivity of the composite rod is

  1. $k_1+k_2$
  2. $\sqrt{k_1k_2}$
  3. $\frac{k_1k_2}{k_1+k_2}$
  4. $\frac{2k_1k_2}{k_1+k_2}$
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