Question
Download Solution PDFThe Stefan-Boltzmann law, which includes the Stefan-Boltzmann constant, primarily applies to which type of bodies?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Stefan-Boltzmann Law
- The Stefan-Boltzmann law is a fundamental principle in thermal radiation that describes the power radiated from a black body in terms of its temperature. The law is named after physicist Josef Stefan, who experimentally established the law in 1879, and Ludwig Boltzmann, who derived it theoretically.
- The law states that the total energy radiated per unit surface area of a black body is directly proportional to the fourth power of the black body's absolute temperature. This implies that even a small increase in temperature results in a significant increase in the amount of radiation emitted.
Mathematical Expression: The Stefan-Boltzmann law is mathematically expressed as:
J = σT4
Where:
- J is the total power radiated per unit surface area of the black body.
- σ is the Stefan-Boltzmann constant, approximately equal to 5.67 × 10-8 W/m2K4.
- T is the absolute temperature of the black body in Kelvin (K).
Option 2: Black bodies
- This option correctly identifies the type of bodies to which the Stefan-Boltzmann law primarily applies. A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. Because of this property, a black body is also the best emitter of thermal radiation. The Stefan-Boltzmann law applies specifically to black bodies, which radiate energy according to the formula J = σT4.
Last updated on May 16, 2025
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