A uniform rod of thermal conductivity of `65J//m-s-^(@)C` is surrounded by an insulator on its sides. One of its ends is put in a furnace, while the other end is kept exposed. If the temperature gradient of the rod is `-75^@C//m`, find the emissive power of the exposed end.

Explanation

To solve the problem, we need to find the emissive power of the exposed end of a uniform rod given its thermal conductivity and the temperature gradient. Here’s a step-by-step solution:

### Step 1: Understand the Given Data
We have the following information:
- Thermal conductivity of the rod, \( k = 65 \, \text{J/m-s-°C} \)
- Temperature gradient, \( \frac{\Delta T}{\Delta x} = -75 \, \text{°C/m} \)

### Step 2: Define the Emissive Power
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