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Is the total number of photons in a cavity meaningless?

The gran-canonical partition function for an ideal gas of bosons can be written as $$\mathcal{Z}=\prod_{(\vec{r},\vec{p})\in\mathbb{R}^{6}}\sum_{N=0}^\infty e^{-\beta E(\|\vec{p}\|)N+\mu\beta N}=\...
Ivan Burbano's user avatar
  • 3,975
1 vote
2 answers
93 views

What's the disconnect between blackbodies and lived experience? Do they violate the laws of thermodynamics? [closed]

My understanding of the 2nd law of thermodynamics is, partly that, basically a 'cold' object cannot heat a 'hot' object. Case in point: if I take a 1500W hot plate and put it on full, the plate will ...
Cloudyman's user avatar
  • 1,277
3 votes
1 answer
94 views

How to identify the composition of sun if it is treated like a blackbody? [duplicate]

The sun is usually assumed to be approximately very close to a blackbody, but using spectroscopy it is concluded that the sun is made up of Hydrogen and Helium because the lines corresponding to those ...
junfan02's user avatar
  • 185
1 vote
2 answers
117 views

Does the gravitational redshift obey the Stefan-Boltzmann law?

Here is a non rotating neutron star emitting perfect black body radiation from its surface. Supposing that the radiation is redshifted by a factor of 2 for distant observers (which is chosen purely ...
哲煜黄's user avatar
  • 1,537
0 votes
1 answer
100 views

Why won't hydrogen gas heated via conduction/convection emit a blue light / how can it emit infrared light?

According to the European Space Agency: Every object with a temperature above absolute zero (that corresponds to 0 K, or -273 degrees C) emits electromagnetic (EM) radiation over virtually all ...
Cloudyman's user avatar
  • 1,277
6 votes
3 answers
1k views

Why does the CMB have a spectrum like a black-body radiation?

Equilibrium distributions of particles (Maxwell, Boltzmann, Saha) are achieved by the particle collisions. On the other hand, photons do not interact with each other. From the introductory course in ...
MakaJE's user avatar
  • 61
2 votes
2 answers
179 views

Why can't a reflective barrier raise an object's temperature past a heat source's temperature?

Say I have a 1 $m^2$ source of visible light emitting 1,000W worth of light. This is shining down upon 1 $m^2$ of ground. If we treat the ground as a blackbody, my understanding is that eventually it'...
Cloudyman's user avatar
  • 1,277
6 votes
4 answers
906 views

Why can't fire heat something hotter than itself, but electromagnetic waves can heat something indefinitely?

Part of my question on Can a low-energy source/object heat a higher-energy object via radiative heat transfer? asked if a 100W lightbulb could heat a blackbody in a vacuum indefinitely, presuming ...
Cloudyman's user avatar
  • 1,277
2 votes
2 answers
2k views

Why does UV light feel warm on my skin? Whereas infrared light heats up space around me plus my skin?

Noticed something weird today. I have an infrared space heater that is pretty good at heating up my desk at work (as well as my skin obviously). I also have a UV flashlight. I noticed the UV ...
user3807846's user avatar
0 votes
1 answer
273 views

Would an object travelling close to the speed of light gather a lot of energy?

Quick disclaimer: I don't know much about physics, so I don't really know what I'm talking about. The idea The idea is that an object traveling fast enough in space will be receiving more radiation ...
Siriusmart's user avatar
0 votes
2 answers
111 views

Can a low-energy source/object heat a higher-energy object via radiative heat transfer?

Say we have a blackbody sphere in a perfect vacuum with surface area of $1 m^2$ at temperature 5.1205 C = 278.2705 K. Let's say inside the sphere it has its own energy source that is outputting enough ...
Cloudyman's user avatar
  • 1,277
1 vote
1 answer
120 views

What determines the particular frequency of infrared any given object emits?

Infrared (IR) includes EM waves between 780nm and 1mm in wavelength. (Source) As an object gets hotter, it emits a greater amplitude of infrared. What determines the particular frequency(s) of IR an ...
Oliver Walters's user avatar
21 votes
6 answers
5k views

How does fire heat air?

I understand that fire heats its surroundings via conduction, convection and radiation. I've read that conduction is nearly irrelevant to this process as air is a poor heat conductor. In descriptions ...
katefull06's user avatar
1 vote
2 answers
324 views

Does a blackbody always appear black?

By definition an ideal black body ⚫️ is a complete absorber that is no radiation in any spectrum goes reflected by it , which suggested that it should appear dark or black On the other hand by ...
Test Test's user avatar
2 votes
4 answers
210 views

Does thermal energy include the energy of thermal radiation as part of its definition?

I can't get a simple answer to this simple question online, so I thought I'd ask here. Thermal radiation is usually meant to be the energy associated with a given temperature of a material body. Now ...
MaximusIdeal's user avatar
  • 8,776
0 votes
1 answer
48 views

Why the blackbody's spectral emittance isn't a growing exponential in the wavelength?

I have read multiple paragraphs about why we do get the bell shaped curve and the tale goes like this, oscillators with high frequency aren't paying the bell getting excited as they would require ...
Jack's user avatar
  • 1,035
1 vote
2 answers
52 views

Is the emitted spectrum is that of a blackbody when the blackbody is in thermal equilibrium with the ambient or with its interior or either?

I have came across the following paragraph in Wikipedia A perfectly insulated enclosure which is in thermal equilibrium internally contains blackbody radiation, and will emit it through a hole made ...
Jack's user avatar
  • 1,035
0 votes
1 answer
140 views

Cooling of a solid vs hollow sphere

We have a solid and a hollow sphere made of same material, and of same dimensions. We have to compare the temperatures of the sphere after a long time of cooling. So initially I can safely say that ...
Kshitij Kumar's user avatar
1 vote
1 answer
2k views

Photon statistics for thermal light?

I know that the variance $\Delta^2$ of the number of photons $n$ for thermal light is: $\Delta^2 n = \bar{n} + \bar{n}^2 \hspace{2 cm} (1) $ where $\bar{n}$ is the average number of photons. This ...
MementoMori's user avatar
2 votes
1 answer
54 views

Why doesn't the accretion of ice, cause the ice to melt?

I was reading about the accretion of ice which describes the rate at which the ice layer above a lake thickens. It said that in order for the water just below the ice to solidify,heat had to be ...
S123's user avatar
  • 23
0 votes
2 answers
60 views

If a satellite is shut down, will it eventually reach the high temperatures of the exosphere?

If a satellite is shut down so that it neither generates additional heat from whatever internal energy source it might have, nor is able to dissipate heat by an active cooling system, will it ...
Wood's user avatar
  • 1,964
1 vote
0 answers
76 views

Focusing blackbody light simulation

As an honest citizen, I do not intend to violate the laws of thermodynamics by concentrating the light emitted by a blackbody on a smaller area. However by playing with this wonderful 2d ray online ...
Alexis Gros's user avatar
0 votes
1 answer
161 views

Temperature estimate from eclipsing binary

So assuming perfect edge on eclipsing binary, we can estimate the temperature ratio of the two stars because the "blocked area" is the same, and thus the amount of light "dimmed" ...
ABC's user avatar
  • 191
1 vote
0 answers
24 views

Can a thermal radiating surface be replaced by an equivalent antenna with proper current distribution?

Thermal radiation is EM waves generated by electrons movements due to a non-zero absolute temperature. Given a certain material with such an emission at temperature T, is it possible to see it as an ...
Kinka-Byo's user avatar
  • 1,329
1 vote
1 answer
75 views

What fraction of heat is exchanged by thermal radiation (by ordinary objects)? [closed]

I understand that heat can be transferred by conduction, convection and thermal radiation. So, lets say when I bring a cold glass of milk in a room at room temperature, then what fraction of heat is ...
Rohit Shekhawat's user avatar
3 votes
3 answers
344 views

Power emitted during thermal radiation

How does the power emitted during thermal radiation depend on time (if it does)? What are some sources refering to the particular relation between the power emitted during thermal radiation and time? ...
schris38's user avatar
  • 4,157
1 vote
1 answer
82 views

Derivation of Planck's Formula: Why summing over maximal number of linear independent modes and NOT over all modes?

Here I have a question about the Derivation of Planck's formula in this text. On page 5 is derived the differential expression $dN= 2 \times \frac{4\pi \nu^2 V}{c^3} d\nu $ for the number of modes of ...
user267839's user avatar
  • 1,555
1 vote
1 answer
45 views

How is black-body radiation affected by recoil?

In a semi-relativistic framework, which accounts for the mass of an energetic photon ($=h\nu/c^2$), a black body cannot emit a photon whose relativistic mass is greater than its own. So the higher the ...
Zzyzx's user avatar
  • 11
1 vote
0 answers
21 views

When the radiation spectrum of two bodies will be undistinguishable?

While reading my book I came a cross the question that . Suppose there is solid sphere of radius $r$ inside a spherical shell of radius $R$. If a heating source is connected to the inner solid sphere ...
WATCHER's user avatar
  • 11
1 vote
1 answer
110 views

When a gas is in thermodynamic equilibrium, does it emit like a black-body? [duplicate]

Black-body radiation is said to be the thermal electromagnetic radiation within, or surrounding, a body in thermodynamic equilibrium with its environment or emitted by a black body. For the first case ...
user9867's user avatar
  • 221
7 votes
2 answers
2k views

How a piece of metal put in the oven reaching a constant temperature of 3000 K fit the model of a hole in a cavity?

The common and practical model for a blackbody is a hole inside a cavity, and even stars can be made to fit into this model. My question is how to make anything else like a piece of metal at some ...
Jack's user avatar
  • 1,035
2 votes
2 answers
391 views

If all matter can emit at all wavelengths, can all matter absorb at all wavelengths too?

Based on Planck’s law all matter can emit at all wavelengths at different intensities dependent of temperature. I was wondering if this holds true, does all matter absorb all wavelengths too, at ...
Authentic Melody's user avatar
2 votes
1 answer
23 views

Doubt on the radiated heat of a black spheric shell

Consider a black spheric shell of radius $R$ manteined at temperature $T$ in an empty space. By Stephan-Boltzmann's Law we know that the power radiated is given by $\dot{Q} = 4\pi R^2 \sigma T^4$ but ...
Matteo Menghini's user avatar
0 votes
1 answer
64 views

Do gases emit radiation at all wavelength? [duplicate]

According to Planck's law, all matter emits radiation at all wavelengths but is this statement true for gases and pure elements? Gases like hydrogen and helium have specific emission spectrums and I ...
Authentic Melody's user avatar
2 votes
1 answer
112 views

Do all matter emits radiation at all wavelengths? [duplicate]

Does all matter emit radiation at all wavelengths? Do gasses also emit radiation at all wavelengths since they have a specific emission spectrum? Shouldn't they only emit radiation according to their ...
Authentic Melody's user avatar
0 votes
1 answer
457 views

Estimating the climate sensitivity parameter

Temperature changes $\Delta T$ are related to radiative forcing $\Delta F$ linearly (to a first approximation): $\Delta T = \lambda \Delta F$ I was thinking how to estimate the climate sensitive ...
Sebby's user avatar
  • 679
6 votes
1 answer
791 views

Is the Sun considered to be a black body as a whole or it is only the photosphere which is a black body?

I am having some difficulties understating how fusion inside the Sun is connected to the Sun being a blackbody. How do the photons transfer to the photosphere? Is the amount of transferred energy less ...
Authentic Melody's user avatar
0 votes
4 answers
128 views

Why doesn't a black body absorb its own radiation?

If black bodies absorb all the radiation and emit radiation by themselves, why don't they absorb their own emitted radiation? We shouldn't see the sun for example, since it's a black body.
Authentic Melody's user avatar
3 votes
1 answer
50 views

Different radiation intensities from a black body

I am a high school student and was wondering about the radiation curve of a black body. Why do the emitted wavelengths from a black body have different intensities? What happens at the atomic level ...
Authentic Melody's user avatar
0 votes
4 answers
368 views

How does blackbody radiation suggest the quantization of energy?

I have read about Wein's law and Rayleigh-Jeans law which were apparently based on classical mechanics and couldn't explain the radiation spectrum of a blackbody. Then Planck came up with the ...
Rohit Shekhawat's user avatar
1 vote
1 answer
85 views

Blackbody radiation and the quantization of energy?

If the energy spectrum is continuous, a blackbody would radiate shorter wavelengths with higher intensity with no upper limit (the "ultraviolette catastrophe") for any temperature. How can ...
magistern's user avatar
1 vote
0 answers
60 views

What is the temperature of a greenhouse gas?

The temperature of a gas is usually the sum of the kinetic energy of its particles, right? Whereas the temperature of a solid object is given by the Stefan-Bolzmann equation, as a function of how much ...
Karolina Hagegård's user avatar
1 vote
0 answers
73 views

Elementary question about quanta

I've been trying to read about the origins of quantum physics, and I have not found a very satisfactory answer to this question. The ultraviolet catastrophe resulted from, as I understand it, the ...
Abcderia's user avatar
3 votes
1 answer
130 views

Can an evaporating black hole emit protons with an energy beyond the GZK limit?

There are protons reaching the earth with energies that exceed what their interaction with the cosmic microwave background should allow, the so-called GZK limit. Could an evaporating black hole emit ...
user avatar
0 votes
0 answers
45 views

Temperature of copper block inside a metal container

I have one cylindrical metal container : ~20 cm in length; ~15 cm in diameter. I have kept one small copper block inside this container. Copper block is thermally insulated from all other components ...
atom's user avatar
  • 1,034
1 vote
2 answers
72 views

Photoionization by black-body radiation

I am trying to solve the question: "Show that if an atom is photoionized by black-body radiation with the temperature $T^*$ such that $kT^*\ll I_H,$ the average kinetic energy acquired by an ...
TTT's user avatar
  • 63
1 vote
1 answer
233 views

Is the Drapers point inaccurate?

Is the Drapers point faulty since an oven glows visibly red without it actually reaching Drapers point? When the Drapers point blackbody radiation frequency is calculated by Wien's law it results ...
user avatar
2 votes
2 answers
598 views

How does anodization increase emissivity?

In articles devoted to the study of the contribution of radiation to heat dissipation, it is often mentioned that an anodized heatsink has better emissivity compared to a bare heatsink. Since the ...
AndrBar's user avatar
  • 23
2 votes
1 answer
37 views

Is there a relationship between the electrical power supplied to a material and the emitted wavelength?

I have a graphite bar that is used in a vacuum furnace that serves as a heating resistor and the heat is provided by radiation, so I would like to know by knowing the electrical input power (240kW), ...
Le H's user avatar
  • 21
0 votes
2 answers
112 views

If mass is just energy, how does thermal or kinetic energy transfer happen? [closed]

If mass is just energy, as it's excitations on quantum fields that when they vibrate together a certain way, they end up a particle, then how does energy transfer work? Specifically kinetic energy ...
Jordan M's user avatar

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