Refractive Index Calculation for Light Passing from Substance X to Substance Y

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Homework Help Overview

The discussion revolves around calculating the refractive index for light transitioning from substance X to substance Y, with given refractive indices nx and ny for each substance. Participants are exploring the relationship between these indices and the velocities of light in the respective media.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to relate the refractive indices to the velocities of light in the two substances. There is a suggestion to write down the relevant formula and explore its implications. Some participants express uncertainty regarding the correctness of their formulations.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the relationships between refractive indices and velocities. Some guidance has been offered regarding the correct formula to use, but there is no explicit consensus on the approach yet.

Contextual Notes

Participants are grappling with the definitions and relationships of refractive indices and velocities, indicating a potential misunderstanding of the formulas involved. There is an emphasis on using the correct formula as part of the discussion.

disfused_3289
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Homework Statement



For substance X, the refractive index is nx. For another substance Y the refractive index ny. Show that the refractive index for light passing from x to y is nx/ ny.


2. The attempt at a solution

I'm finding it difficult to devise a solution, but I think the answer has a relation to the ratio of velocites to and from x and y.
 
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So just write down that formula first and let's see where it goes.
 
refractive index

ny= vx/ vy
nx= vy/vx

ny/nx= 1 ?
 
The refractive index is veolcity in a perticular medium (i) compared to the veolcity in vacuum

[tex]n_i = c/v_i[/tex]

c is velocity in vacuum
 
disfused_3289 said:
ny= vx/ vy
nx= vy/vx

ny/nx= 1 ?

You know it's wrong. Use the correct formula as given.
 

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