Calculate the temperature (in K) at which a perfect black body radiates energy at the rate of `5.67W cm^(-2)`. Given `sigma = 5.67 xx 10^(8)Wm^(-2)K^(-4)`.

Explanation

To calculate the temperature at which a perfect black body radiates energy at the rate of 5.67 W/cm², we can use the Stefan-Boltzmann law, which states that the power radiated per unit area of a black body is directly proportional to the fourth power of its absolute temperature (T). The formula is given by:

\[ E = \sigma T^4 \]

Where:
- \( E \) is the energy radiated per unit area (in W/m²),
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