- #1

- 1,097

- 3

## Homework Statement

See figure attached for problem statement.

## Homework Equations

## The Attempt at a Solution

I'm getting a disagreement in my equations so I must be doing something wrong.

We have two unknowns,

[tex]n_{1},\theta_{2}[/tex]

My first equation,

[tex]n_{1}sin\theta_{1}=n_{2}sin\theta_{2}[/tex]

my second equation

**(This is where I think I am misunderstanding something)**

Since it is experiencing total internal reflection,

[tex]\theta_{2} = arcsin\frac{n_{1}}{n_{2}}[/tex]

Or in other words,

[tex]sin\theta_{2} = \frac{n_{1}}{n_{2}}[/tex]

If I plug this into my first equation I get an inconsistency because,

[tex]sin\theta_{1} \neq 1[/tex]

What am I doing wrong?