Clarification of Black Body Radiation

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SUMMARY

The discussion clarifies the concept of black body radiation, emphasizing two key points: a black body is a perfect emitter that radiates energy uniformly across all wavelengths, and the emitted radiation is solely dependent on the object's temperature. The classical interpretation leads to an unrealistic prediction of infinite energy emission at high frequencies, which is resolved by quantum theory, resulting in a peak emission frequency and a drop-off at higher frequencies. The source of this clarification is the HyperPhysics website.

PREREQUISITES
  • Understanding of classical physics principles related to radiation
  • Familiarity with quantum theory concepts
  • Knowledge of the relationship between temperature and radiation
  • Basic grasp of emission curves and their characteristics
NEXT STEPS
  • Study Planck's Law of black body radiation
  • Explore the concept of Wien's Displacement Law
  • Investigate the implications of black body radiation in astrophysics
  • Learn about the Stefan-Boltzmann Law and its applications
USEFUL FOR

Students of physics, researchers in thermodynamics, and professionals in fields related to thermal radiation and quantum mechanics will benefit from this discussion.

Minki
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Hi, I'm trying to understand black body radiation but I have two conflicting descriptions (both reputable sources). Maybe both are true, but I need some clarification please:

1. A black body is a perfect emitter – it will emit equally well at any wavelength.

2. The black body re-radiates energy which is characteristic of this object only.

Thanks.
 
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Minki said:
Hi, I'm trying to understand black body radiation but I have two conflicting descriptions (both reputable sources). Maybe both are true, but I need some clarification please:

1. A black body is a perfect emitter – it will emit equally well at any wavelength.

I think what this statement is saying is that, on a totally classical level, a blackbody has a equal chance of radiating into any allowed frequency mode. Since the number of allowed modes increases with the square of the frequency, this results in a parabolic emission curve. However, there is obviously a problem. The parabola grows without bound and the black body is predicted to emit absurdly large amounts of energy at high frequencies.

The quantum theory of black body emission fixes this problem. When analyzed using quantum theory, the blackbody emission curve has a peak at a certain frequency and the emitted radiation intensity drops to zero for high frequencies.


2. The black body re-radiates energy which is characteristic of this object only.

This is correct. The blackbody radiation curve depends only on the temperature of the object.

For more info:

http://hyperphysics.phy-astr.gsu.edu/hbase/mod6.html
 
Thanks GO1, that sorts it. The second statement did actually come from that link.
 

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