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

AI Thread Summary
The discussion focuses on calculating the refractive index for light transitioning from substance X to substance Y, defined as nx/ny. Participants explore the relationship between the velocities of light in both substances, noting that the refractive index is the ratio of the speed of light in a vacuum to its speed in a medium. The formula n_i = c/v_i is referenced to clarify the concept. There is some confusion about the correct application of the formulas, leading to a realization that the initial approach may be incorrect. The conversation emphasizes the importance of using the appropriate equations to derive the refractive index accurately.
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

n_i = c/v_i

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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