Path of Light in Time-Varying Refractive Index: Straight or Curved?

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SUMMARY

The discussion centers on the behavior of light passing through a liquid with a time-varying refractive index. Participants concluded that the path of the light ray will be a straight line rather than a curve, as symmetry in the refractive index does not favor any directional bending. The emphasis is on the distinction between time-varying and spatial variations in refractive index, confirming that the problem does not involve spatial changes.

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  • Ability to differentiate between time-varying and spatial variations in physical properties
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arpon
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Homework Statement


Suppose, light is passing through a liquid whose refractive index is time-varying. What will be the path of light ray ? Will it be a straaight line or curve ?

Homework Equations

The Attempt at a Solution


I think, it will be a straight line.
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arpon said:
time-varying
Are you certain the problem statement specified "time varying" and not a spatial variation such as refractive index of atmosphere with altitude?
 
Bystander said:
Are you certain the problem statement specified "time varying" and not a spatial variation such as refractive index of atmosphere with altitude?
No spatial variation.
 
arpon said:
I think, it will be a straight line.
I agree with your reasoning. By symmetry, there is no reason it should start curving one way rather than the other.
 

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