If the temperature of a hot body is increased by 50%, the amount of radiation emitted by it increases by approximately:
Show Hint
- 50%
- 125%
- 225%
- 400%
The Correct Option is D
Solution and Explanation
According to Stefan-Boltzmann Law, $E \propto T^{4}$.
Step 2: Analysis
New temperature $T' = 1.5T$. New radiation $E' \propto (1.5T)^{4} = 5.0625 T^{4} \approx 5E$. Increase $= E' - E = 4E$.
Step 3: Conclusion
The percentage increase is approximately 400%.
Final Answer: (D)
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