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Math
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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3
2×3
2^{34}
234
a_{i-1}
ai−1
\frac{2}{3}
32
\sqrt{2}
2
\sum_{i=1}^3
∑i=13
\sin \theta
sinθ
\boxed{123}
123
Comments
This depends entirely on the interpretation of quantum mechanics. For example, the Bohm interpretation finds that light is a particle but that particles inherently are "guided" by a pilot wave. Whatever the interpretation, however, we find that there exists a wave-particle duality in nature and that the predictions of the strange math underlying QM have so far checked out.
Well light has dual nature...
i.e. both particle as well as wave nature.
the nature of light to be taken into consideration depends upon the size of the obstacle or instrument as compared to the wavelength of the light.
Like in reflection and refraction etc, we have mirrors etc whose size is large as compared to light's wavelength hence ray optics can be used to explain it.
But in phenomenons like interference and diffraction and polarization etc. the obstacle(the slits) is comparable to wavelength of light hence we use wave theory to explain it.
polarization confirms that light is a transverse wave.
particle nature of light is used to explain photoelectric effect etc.
So light has both particle and wave nature..
It's seems like a unique thing to light but it's actually not..
Every particle has both particle and wave nature.
Yeah I do agree it has a dual nature both particle as well as a wave.
Why there are separations? Wave theory failed in photoelectric effect and validity of ray optics in slit experiments.
Is this a fact of a Broglie hypothesis? While traveling photon it should have some mass according to Albert Einstein which will release waves as per de Broglie? So they originated as a particle
please advice me on it.
no, particles and waves are one... look at sound waves... it involves particles... these particles are swinging like waves... also the wave phenomena is the consequence of the energy possessed by the particles...
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
This depends entirely on the interpretation of quantum mechanics. For example, the Bohm interpretation finds that light is a particle but that particles inherently are "guided" by a pilot wave. Whatever the interpretation, however, we find that there exists a wave-particle duality in nature and that the predictions of the strange math underlying QM have so far checked out.
Well light has dual nature... i.e. both particle as well as wave nature. the nature of light to be taken into consideration depends upon the size of the obstacle or instrument as compared to the wavelength of the light. Like in reflection and refraction etc, we have mirrors etc whose size is large as compared to light's wavelength hence ray optics can be used to explain it. But in phenomenons like interference and diffraction and polarization etc. the obstacle(the slits) is comparable to wavelength of light hence we use wave theory to explain it. polarization confirms that light is a transverse wave. particle nature of light is used to explain photoelectric effect etc. So light has both particle and wave nature.. It's seems like a unique thing to light but it's actually not.. Every particle has both particle and wave nature.
Yeah I do agree it has a dual nature both particle as well as a wave.
Why there are separations? Wave theory failed in photoelectric effect and validity of ray optics in slit experiments.
Is this a fact of a Broglie hypothesis? While traveling photon it should have some mass according to Albert Einstein which will release waves as per de Broglie? So they originated as a particle please advice me on it.
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Ray optics failed in slits because size of slit is comparable to wavelength of light hence we need to apply wave optics.
no, particles and waves are one... look at sound waves... it involves particles... these particles are swinging like waves... also the wave phenomena is the consequence of the energy possessed by the particles...