A ray of light through a prism

1. The problem statement, all variables and given/known data
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.
Enter your answers in ascending order separated by a comma.

2. Relevant equations

3. 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

thank you in advance

Attached Images
File Type: png PHys homework 1.png (48.0 KB)


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