In this scenario, the rod acts as a fin dissipating heat from the wall to the surrounding air.
The temperature distribution along a fin depends on the material's thermal conductivity.
- Materials like copper, silver, and aluminium have high thermal conductivity, allowing efficient heat transfer from the wall to the tip — resulting in a higher temperature at the tip.
- Steel has relatively low thermal conductivity compared to the others, resulting in poorer heat conduction and thus a lower temperature at the tip.
Hence, the rod made of steel will have the lowest tip temperature among the options.
Three conductors of same length having thermal conductivity \(k_1\), \(k_2\), and \(k_3\) are connected as shown in figure. Area of cross sections of 1st and 2nd conductor are same and for 3rd conductor it is double of the 1st conductor. The temperatures are given in the figure. In steady state condition, the value of θ is ________ °C. (Given: \(k_1\) = 60 Js⁻¹m⁻¹K⁻¹,\(k_2\) = 120 Js⁻¹m⁻¹K⁻¹, \(k_3\) = 135 Js⁻¹m⁻¹K⁻¹) 