Specific Heat Capacity

Step 1: Understanding Heat Conduction in Identical Rods The principle of thermal equilibrium states that heat flux through each rod should be equal at the junction. Since all rods are identical, they have the same thermal conductivity and length, so the heat flow rate through each rod is given by Fourier's Law: Since and are the same for all rods, we use the temperature differences for balancing heat flux.

Step 2: Applying Heat Balance at the Junction Let be the temperature at the junction. The left rod has a temperature difference of , while the two right rods have a temperature difference of . At steady-state thermal equilibrium: Canceling common terms:

Step 3: Verifying the Correct Option Comparing with the given options, the correct answer is: