Question:
The amount of heat energy radiated by a metal at temperature T is E. When the temperature is increased to 3T, energy radiated is
The amount of heat energy radiated by a metal at temperature T is E. When the temperature is increased to 3T, energy radiated is
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Radiation energy is extremely sensitive to temperature changes.
Updated On: Apr 10, 2026
- 81E
- 9E
- 3E
- 27E
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The Correct Option is A
Solution and Explanation
Step 1: Stefan's Law
Energy radiated ($E$) is proportional to the fourth power of absolute temperature ($T$): $E \propto T^4$.
Step 2: Substitution
New energy $E' \propto (3T)^4$.
Step 3: Calculation
$E' = 3^4 \times E = 81E$.
Final Answer: (a)
Energy radiated ($E$) is proportional to the fourth power of absolute temperature ($T$): $E \propto T^4$.
Step 2: Substitution
New energy $E' \propto (3T)^4$.
Step 3: Calculation
$E' = 3^4 \times E = 81E$.
Final Answer: (a)
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