At temperature `27^(@)C,` black body is emitting at heat at a rate of `3.0 xx 10^(5)` Joule/second-`"metre"^(2)` At what temperature will it emit heat at rate of` 243 xx 10^(5)` Joule/second-metre)?

Explanation

To solve the problem, we will use Stefan-Boltzmann Law, which states that the power emitted per unit area of a black body is proportional to the fourth power of its absolute temperature. The formula is given by:

\[ Q = \sigma T^4 \]

Where:
- \( Q \) is the heat emitted per second per unit area (in Joules per second per square meter),
- \( \sigma \) is the Stefan-Boltzmann constant (approximately \( 5.67 \times 10^{-8} \, \text{W/m}^2\text{K}^4 \)),
- \( T \) is the absolute temperature in Kelvin.
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