(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The apex angle of a prism is [itex]50.0^\circ[/itex] and the index of refraction of the prism material is [itex]1.66[/itex]. What is the minimum deviation angle?

2. Relevant equations

Snell's Law: [itex]n_1\sin(\theta_1)=n_2\sin(\theta_2)[/itex]

3. The attempt at a solution

How would you approach this? I get a deviation angle of [itex]50+\arcsin(1.66\sin(\theta))+\arcsin\left(\frac{ \sin(50-1.66 \sin(\theta))}{1.66}\right)[/itex] using Snell's Law and angle chasing but I don't know how to minimize that. [itex]\theta[/itex] is the initial angle of incidence.

For some reason I think the solution should be much simpler than that. Can someone help me?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Minimum Deviation Angle

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**