# A ray of light through a prism

## Homework Statement

A light ray in air strikes the right-angle prism shown in the figure (Figure 1) (∠B=28.0∘). This ray consists of two different wavelengths. When it emerges at face AB, it has been split into two different rays that diverge from each other by 8.50∘ .

Find the index of refraction of the prism for each of the two wavelengths.

nasinΘa=nbsinΘb

## The Attempt at a Solution

From the Normal I determined that the angles for n1 and n2 are 74 and 82.5. However I am running into the issue of where to go from here Also the angle for the incident angle is 62.

I did not know what the index is for the Right angle prism I used 1.5 for glass for it orginally and out with the values 1.38 (74)and 1.34 (82.5). however those were not the correct values.

I do not know where to go from here

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TSny
Homework Helper
Gold Member
Hello, ghostops.

1. The problem statement
Find the index of refraction of the prism for each of the two wavelengths.

nasinΘa=nbsinΘb

## The Attempt at a Solution

From the Normal I determined that the angles for n1 and n2 are 74 and 82.5. ... Also the angle for the incident angle is 62.
Your numbers look good to me.

I did not know what the index is for the Right angle prism... I used 1.5 for glass for it
I believe this is what the question is asking you to calculate. Try setting up Snell's law for the ray corresponding to the 12o angle in the picture. Then repeat for the other ray.