Question:
According to Stefan-Boltzmann law, the radiant energy emitted by a black body is proportional to:
According to Stefan-Boltzmann law, the radiant energy emitted by a black body is proportional to:
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Logic Tip: Radiation is incredibly sensitive to temperature. If you double the absolute temperature of an object, the heat it radiates doesn't just double—it increases by a factor of 16 ($2^4$)!
Updated On: Jun 9, 2026
- Absolute temperature
- Square of absolute temperature
- Cube of absolute temperature
- Fourth power of absolute temperature
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The Correct Option is D
Solution and Explanation
Concept:
Thermal radiation is the emission of electromagnetic waves from all matter that has a temperature greater than absolute zero. The Stefan-Boltzmann law quantifies the total maximum thermal energy a perfect emitter (a black body) radiates.
Step 1: The Stefan-Boltzmann law is mathematically expressed as $E = \sigma \cdot T^4$.
Step 2: In this equation, '$E$' represents the total radiant heat energy emitted per unit surface area, and '$\sigma$' is the Stefan-Boltzmann constant (a fixed numerical value).
Step 3: The variable '$T$' represents the absolute temperature of the black body's surface, measured in Kelvin.
Step 4: The equation explicitly dictates that the emitted energy ($E$) scales with the temperature ($T$) raised to the power of 4.
Step 5: Therefore, the radiant energy is directly proportional to the fourth power of the absolute temperature.
Thermal radiation is the emission of electromagnetic waves from all matter that has a temperature greater than absolute zero. The Stefan-Boltzmann law quantifies the total maximum thermal energy a perfect emitter (a black body) radiates.
Step 1: The Stefan-Boltzmann law is mathematically expressed as $E = \sigma \cdot T^4$.
Step 2: In this equation, '$E$' represents the total radiant heat energy emitted per unit surface area, and '$\sigma$' is the Stefan-Boltzmann constant (a fixed numerical value).
Step 3: The variable '$T$' represents the absolute temperature of the black body's surface, measured in Kelvin.
Step 4: The equation explicitly dictates that the emitted energy ($E$) scales with the temperature ($T$) raised to the power of 4.
Step 5: Therefore, the radiant energy is directly proportional to the fourth power of the absolute temperature.
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