very glad I now signed up

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JohnnyFef
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Re: very glad I now signed up

Post by JohnnyFef »

B = blackbody radiation (Boltzmann)
f = frequency
E = energy
F = Planck's radiation law
k = Boltzmann constant
R = universal gas constant
T = temperature (K)
w = energy density (J/m3)
wf = frequency density (W/m3)
wv = wavelength density (W/m)
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Acknowledgement
Thank you for using the JavaScript Math Utilities which are based on the very useful JavaScript Math Utilities available at

A:

According to a physical understanding of black body, it is said that
if the black body is heated, the radiation from the black body can be seen as a continuous spectrum from a point.
Now, the intensity of radiation is proportional to the fourth power of frequency.
Here is the graph (The graph shows the spectral distribution of black body at
temperature T=10°C)

Now, the intensity of radiation is proportional to the fourth power of frequency and if the black body is heated, the intensity of radiation from the black body increases. If this intensity of radiation from the black body increases, the colour of the black body will also increase.
Another understanding of black body is that the energy density of radiation at a given frequency
will increase if the temperature of the black body is increased.
Let me elaborate this by the following figure:

Now, the yellow area is the black body radiation spectrum at temperature T=10°C. If we heat the black body then the radiation spectrum will increase and shift to the right. As the temperature increases the area under the black body radiation spectrum will increase. Hence, the radiation spectrum will become more and more red as temperature increases.
Now, let me elaborate this by the following figure:

I have not drawn the y-axis here. Now, if you look at the yellow area of the graph, it is coloured by yellow. If we heat the yellow area then the intensity of radiation will increase. If we zoom into the yellow area, the yellow area looks reddish. This is because the energy density of the radiation is more at the red end of the spectrum as compared to the blue end of the spectrum. Hence, the intensity of radiation from the yellow area is more at the red end of the spectrum. This is due to the fact that the black body is getting more hot and is emitting more red colour. a77f14ba26 froflet
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