One end A of a metallic rod of length 10 cm is inserted in a furnace whose temperature is `827^(@)C`. The curved surface of the rod is insulated. The room temperature is `27^(@)C`. When the steady state is attained, the temperature of the other end B ofthe rod is `702^(@)C`. Find the thermal conductivity ofthe metal. Stefan's constant `= 5.67 xx 10^(-8)W m^(-2) K^(-4)`.

Explanation

To find the thermal conductivity of the metallic rod, we will follow these steps:

### Step 1: Convert temperatures from Celsius to Kelvin
- The temperature at end A (furnace temperature) is given as \( 827^\circ C \).
\[ T_A = 827 + 273 = 1100 \, K \]
- The temperature at end B is given as \( 702^\circ C \).
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