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0 votes
0 answers
37 views

Is the relativistic energy-momentum relation fundamental? [duplicate]

The following relativistic energy-momentum relationship is taken to be fundamental: $$E^2=p^2c^2+m_0^2c^4.\tag{1}$$ Let us specialize to massless particles ($m_0=0$) so that we have: $$E=p\ c.\tag{2}$$...
John Eastmond's user avatar
1 vote
0 answers
109 views

The speed of light in medium with different frequency

We know that the speed of light in vaccuum can be expressed as $c=\frac{1}{\sqrt{\mu_0\epsilon_0}}$ and thus the speed of light in vaccuum is thus $$v=\frac{1}{\sqrt{\mu\epsilon}}=\frac{c}{\sqrt{\...
Pck Tsp's user avatar
  • 83
1 vote
2 answers
278 views

Is there a wave equation describing electromagnetic waves in materials?

Solutions to the usual wave equation for electromagnetic waves have the property that wave components of different wavelengths travel at the same phase speed $c$, so no dispersion occurs. What I ...
Maximal Ideal's user avatar
0 votes
1 answer
239 views

Why is the refractive index of blue light larger than red light in water while the refractive index of radiowaves is larger than both?

So I thought the reason why radio waves have a relatively high refractive index in water is because they have a low frequency which increases the permittivity, but blue light that has a higher ...
per persson's user avatar
15 votes
6 answers
6k views

Why are red and blue light refracted differently if they travel at the same speed in the same medium?

When I look at Snell's law $\frac{\sin\theta_2}{\sin\theta_1} = \frac{v_2}{v_1} = \frac{n_1}{n_2}$ I don't see any reference to wavelength. If red and blue have the same speed in the same medium, why ...
João Pimentel Ferreira's user avatar
-1 votes
1 answer
53 views

Confusion on the indice of refraction: is it dependent on the frequency or not? [duplicate]

I saw in my course than when light hit a medium, it makes some dipole oscillating with the same frequency as the one of the light $\omega$. By a classical mechanics reasoning, one can show that the ...
Dicordi's user avatar
  • 183
0 votes
0 answers
39 views

If both violet light and red light was incident on the center of a semi circular block, and refracted, would they have the same refraction angle?

As the violet and red light have the same speed in air, with the incident angle being less than the critical, with the violet light and the red light coinciding on each other, (like on top of each ...
Anonymous's user avatar
  • 101
0 votes
0 answers
697 views

Dispersion, refractive index against frequency graph

From Hecht optics page 74, the plot of $n$ , the refractive index, against $\omega$ , the angular frequency of the incoming wave is And the relation between $n$ and $\omega$ is: Where each $\omega_{...
khaled014z's user avatar
17 votes
5 answers
5k views

Do colors differ in terms of speed? [duplicate]

Here is a very simple question about light. As far as I remember from the school program, each color is merely one of the frequencies of light. I also remember that each color's wave length is ...
brilliant's user avatar
  • 665
1 vote
1 answer
613 views

Why violet light bends the most? [duplicate]

I have read about refraction through a triangular prism,rainbow formation and other natural phenomena.They all told about the strong bending of violet light . I know that it has a shorter wavelength ...
anushka verma's user avatar
1 vote
2 answers
359 views

What does it mean to say that glass has refractive index 1.5?

The refractive index of a material depends on the wavelength of the light incident upon it which is why dispersion happens. When we say that glass has refractive index 1.5 which wavelength do we have ...
Solidification's user avatar
0 votes
1 answer
104 views

Speed of electromagnetic wave [closed]

On dispersion , speed of wave is inversely proportional to its wavelength . Therefore, gamma has max speed. But then in visible light , violet has least wavelength still it has least speed in visible ...
Utkarsh Mahale's user avatar
1 vote
1 answer
2k views

Why is the speed of light the same for all colors in a vacuum but different depending on the color when light goes through a non-air medium? [duplicate]

I know that red light travels faster in non-air mediums than blue light because of its wavelength, but I'm not understanding why this doesn't happen in a vacuum? This is related to the topic of ...
terpenedude's user avatar
0 votes
3 answers
228 views

What is the intensity of photon before and after striking the glass prism?

during dispersion we all know that white light enters in to the prism and disperses into the visible radiation, my question is whether a glass prism can eliminate other wavelengths and allow only ...
Kota Saisatish's user avatar
5 votes
3 answers
3k views

Which electromagnetic radiation is faster in water, microwaves or light?

Well I've been asked this question, but I haven't been able to come with an answer yet using books and some web searches. The point is as the title says, to answer the question with the whole ...
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