Why does a black body radiate in all the frequency spectrum?

In summary, a black body in thermodynamic equilibrium radiates at all frequencies due to the principle of maximal entropy. This means that it must both absorb and emit photons at all frequencies in order to maintain equilibrium. This can be understood through the concept of detailed balance, where emission and absorption are reverse reactions that must occur together. If an object only emitted at a certain frequency but did not absorb at that frequency, it would eventually lose all its energy and violate the principle of thermodynamic equilibrium. Therefore, a black body must both absorb and emit at all frequencies in order to maintain equilibrium.
  • #1
Joker93
504
36
I understand why a black body absorbs every frequency(it is the definition of a black body!) but i do not understand why it also radiates at all frequency spectrum.
 
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  • #2
Is there a reason to expect it would not radiate at certain frequencies?
 
  • #3
DaveC426913 said:
Is there a reason to expect it would not radiate at certain frequencies?
Hello. No, but my question is why radiating at all frequencies means also absorbing at all frequencies and vice versa. Why does the one mean the other?
 
  • #4
According to Wiki:
An approximate realization of a black surface is a hole in the wall of a large enclosure. Any light entering the hole is reflected indefinitely or absorbed inside and is unlikely to re-emerge, making the hole a nearly perfect absorber.
https://en.wikipedia.org/wiki/Black_body#Cavity_with_a_hole

For the same reasons, it would also be a nearly perfect emitter.
 
  • #5
Adam Landos said:
I understand why a black body absorbs every frequency(it is the definition of a black body!) but i do not understand why it also radiates at all frequency spectrum.
The correct statement is that black body in thermodynamic equilibrium radiates at all frequencies. In principle, a black body might not be in a thermodynamic equilibrium, in which case it might not radiate at all frequencies.

If you want to ask why thermodynamic equilibrium implies radiation at all frequencies, it is because thermodynamic equilibrium, by definition, is a state with maximal entropy.
 
  • #6
Demystifier said:
The correct statement is that black body in thermodynamic equilibrium radiates at all frequencies. In principle, a black body might not be in a thermodynamic equilibrium, in which case it might not radiate at all frequencies.

If you want to ask why thermodynamic equilibrium implies radiation at all frequencies, it is because thermodynamic equilibrium, by definition, is a state with maximal entropy.
About your last statement, why having maximal entropy means radiating in all frequencies?(i have not taken a course on thermodynamics). Thank you for the answer by the way
 
  • #7
Adam Landos said:
About your last statement, why having maximal entropy means radiating in all frequencies?(i have not taken a course on thermodynamics). Thank you for the answer by the way
Entropy can be thought of as the number of different possible states. Clearly, there are more possible states if all frequencies are allowed than if only some of them are allowed.
 
  • #8
Emission and absorption of photons are both reverse reactions to each other. They are pretty much the same thing, just reversed in time. Any time you have one, you have the other. This is governed by the thermodynamic principle of detailed balance.

Consider an object behind some kind of hypothetical cavity box that only allowed a single wavelength of light through. If the object could emit at that wavelength but could not absorb at that frequency, the object would eventually emit all its energy away to the surroundings, even until the object is colder than the surroundings. This is not allowed by thermodynamics. So the object must also absorb at that same wavelength.
 

Related to Why does a black body radiate in all the frequency spectrum?

1. Why do black bodies radiate in all frequencies?

Black bodies radiate in all frequencies because they are perfect absorbers and emitters of electromagnetic radiation. This means that they absorb all incoming radiation and then emit it back out in all frequencies, making them appear black to the human eye.

2. What is the relationship between temperature and the frequency spectrum of a black body?

The frequency spectrum of a black body is directly related to its temperature. As the temperature of a black body increases, the frequency and intensity of the radiation it emits also increases. This is known as Planck's law of black body radiation.

3. Why is a black body considered a theoretical concept?

A black body is considered a theoretical concept because it does not exist in nature. It is an idealized object that has perfect absorption and emission properties, which cannot be achieved in reality.

4. How does the Stefan-Boltzmann law relate to black body radiation?

The Stefan-Boltzmann law states that the total energy emitted by a black body is proportional to the fourth power of its absolute temperature. This means that as the temperature of a black body increases, the total amount of radiation it emits also increases significantly.

5. What is the significance of black body radiation in understanding the universe?

Black body radiation is significant in understanding the universe because it is one of the key pieces of evidence for the Big Bang theory. The current temperature of the cosmic microwave background radiation, which is a form of black body radiation, supports the idea that the universe began with a hot, dense state and has been expanding and cooling ever since.

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