![A slender rod of length L, diameter d ( L >> d ) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal](https://www.gkseries.com/blog/wp-content/uploads/2023/08/A-slender-rod-of-length-L-diameter-d-L-d-and-thermal-conductivity-k1-is-joined-with-another-rod-of-identical-dimensions-but-of-thermal-.jpg)
Q. A slender rod of length L, diameter d ( L >> d ) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal conductivity k2 , to form a composite cylindrical rod of length 2L . The heat transfer in radial direction and contact resistance are negligible. The effective thermal conductivity of the composite rod is
Ans:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/image-58.png)
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-645-1.png)