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

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Homework Help Overview

The discussion revolves around the behavior of light as it passes through a liquid with a time-varying refractive index. Participants are exploring whether the path of the light ray will be straight or curved.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants express their belief that the light will travel in a straight line, while others question the interpretation of the refractive index as time-varying versus spatially varying.

Discussion Status

There is an ongoing exploration of the assumptions regarding the nature of the refractive index. Some participants agree on the reasoning that symmetry might imply a straight path, but the discussion remains open without a definitive conclusion.

Contextual Notes

Participants are clarifying whether the problem involves time-varying or spatially varying refractive index, which could significantly affect the interpretation of the light's path.

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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