Why is the sky blue using avogardo's number?

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SUMMARY

The blue color of the sky is primarily due to Rayleigh scattering, which involves the scattering of light by molecules of oxygen and nitrogen in the atmosphere. This phenomenon was first accurately described by Albert Einstein in 1911, who provided a detailed formula for light scattering that confirmed Avogadro's number through experimental observation. Contrary to earlier beliefs that dust and water droplets were responsible for the sky's color, scientific consensus now attributes this effect to molecular interactions with light waves, resulting in the scattering of shorter wavelengths, particularly blue light.

PREREQUISITES
  • Understanding of Rayleigh scattering
  • Familiarity with Avogadro's number
  • Basic knowledge of electromagnetic waves
  • Concept of electric dipole moments
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  • Study the principles of Rayleigh scattering in detail
  • Explore the relationship between Avogadro's number and molecular behavior
  • Investigate the electromagnetic spectrum and its interaction with matter
  • Review Einstein's contributions to physics, particularly in light scattering
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Students of physics, educators explaining atmospheric phenomena, and anyone interested in the scientific principles behind color perception in the atmosphere.

kealakamu
[SOLVED] Why is the sky blue using avogardo's number?

This question was brought up in a physics class, and was never answered for me.

I was wondering if anyone here can tell me, given avogadro's number, why is the sky blue? (including all the messy equations if possible).

I believe Einstein was the first person to figure this one out.

Thanks
from
kealakamu
 
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To reflect the color of your pretty eyes

Nah, honestly, I have no clue.
 
haha that's sweet, but then that'd make the sky brown
 
Tyndall and Rayleigh thought that the blue colour of the sky must be due to small particles of dust and droplets of water vapour in the atmosphere. Even today, people sometimes incorrectly say that this is the case. Later scientists realized that if this were true, there would be more variation of sky colour with humidity or haze conditions than was actually observed, so they supposed correctly that the molecules of oxygen and nitrogen in the air are sufficient to account for the scattering. The case was finally settled by Einstein in 1911, who calculated the detailed formula for the scattering of light from molecules; and this was found to be in agreement with experiment. He was even able to use the calculation as a further verification of Avogadro's number when compared with observation. The molecules are able to scatter light because the electromagnetic field of the light waves induces electric dipole moments in the molecules.
 

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