shubhamsrg
  • shubhamsrg
reason for dispersion of light using fermat principle..
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
shubhamsrg
  • shubhamsrg
|dw:1350653499281:dw| had the interface not been there in between, lets say light, with velocity c, in time t, would have travelled a distance d = ct now there is dispersion, speed of V or v_v is less that v_r (red light) according to fermat's principle, the time taken is same for each to reach the same plane. now lets consider a plane (which i shall include in my next diagram) parallel to while light one. red light we all know has a greater speed, thus in same time, it'll travel a greater distance as compared to violet ,, but owing to fermat principle, they reach the plane together, hence, they deviate from their path in such a way to do that.. if they had moved on the same path, violet would have lagged behind, which fails fermat's principle..
shubhamsrg
  • shubhamsrg
|dw:1350654003848:dw|
shubhamsrg
  • shubhamsrg
what i want to ask through all this is that,, can above be treated as a satisfactory enough reason for dispersion ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

shubhamsrg
  • shubhamsrg
one reason ofcorse i know is snells law, including velocity and angles..i just want to know if this one can be a reason ?
shubhamsrg
  • shubhamsrg
@CliffSedge ?
anonymous
  • anonymous
It's certainly related. Fermat's principle (as well as I can understand it) is due to destructive interference of waves, and the photons' interactions with electrons. Higher frequency light interacts more frequently and is refracted more.
shubhamsrg
  • shubhamsrg
well i dont know that much to be frank! :P in layman language ? can this thing be a reason for the bending of light ?
anonymous
  • anonymous
Light bends because higher frequencies (shorter wavelengths), i.e colors on the blue side of the spectrum, interact more with matter and are slowed down more.
shubhamsrg
  • shubhamsrg
and so as to follow fermat;s principle, red bends less and reaches to the same plane by travelling a greater dist, and vice versa for violet ?
anonymous
  • anonymous
It's not necessarily that they travel greater or less distance, but rather they spend more or less time in 'slow' regions. The light path is determined by which atoms cause the greatest constructive interference.
shubhamsrg
  • shubhamsrg
slow reigons ?
anonymous
  • anonymous
Yeah, I'm not sure how else to explain it.
shubhamsrg
  • shubhamsrg
mm.. nevermind,,thank you sir :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.