"Explain the statement that one's eyes could not detect the faint star-light if light were not particle like"
The Attempt at a Solution
What comes to my mind is that when light from outside enters the atmosphere,it gets refracted...referred to as atmospheric refraction.For this,light bends before it reaches the earth surface.But,from a more realistic point of view,this bending is a scattering rather than a refraction.
If we look upon the atmosphere as a continuous medium with constant refractive index,the idea of refraction is correct.We might see the refraction using light as an EM wave.
But, basically, the air is not so.Its density, pressure etc. changes with time.Thus, we know it is composed of air molecules and what we know as refraction,is more precisely, a case of scattering.
And when a scattering is involved, we know that the corresponding light can be treated as particles...[Compton Scattering]
---This arguement has the virtue that, the wavelength is almost constant [remember that for visible light,Compton shift is negligible], yet it explains that the intensity is so small. By the action of scattering,many photons go away....they do not ultimately reach our eyes....and the observed intensity is much lower...
Please let me know what do you think about this problem.