A sphere with radius 10 cm is radiating 500 W power at 700 K. Calculate the power radiated if radius of sphere is doubled and temperature is halved.

Explanation

To solve the problem, we will use the Stefan-Boltzmann law, which states that the power radiated by a black body is proportional to the fourth power of its absolute temperature and the surface area of the body. The formula for power radiated is given by:

\[ P = \sigma A T^4 \]

Where:
- \( P \) is the power radiated,
- \( \sigma \) is the Stefan-Boltzmann constant,
- \( A \) is the surface area,
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