Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A ray goes from air into water (). Find the angle of refraction for angles of incidence from to , in steps of . By how much does the ray turn each time? What pattern do you see?
Light bends because its speed changes. Into an optically denser material it bends toward the normal; into a rarer one, away from it. Snell's law: is a constant for two materials; from air into a material of index , .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. At . , so . The ray turns by .
Step 2. At . , so . The ray turns by .
Step 3. The rest. The program does every angle. The refraction angles run from (at ) to (at ).
Answer: grows from to , and the turn grows from to .
What do we see? The turn grows faster than the angle: a slanting ray bends much more. And never passes about , however large is.
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