jegues
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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,
n_{1},\theta_{2}
My first equation,
n_{1}sin\theta_{1}=n_{2}sin\theta_{2}
my second equation (This is where I think I am misunderstanding something)
Since it is experiencing total internal reflection,
\theta_{2} = arcsin\frac{n_{1}}{n_{2}}
Or in other words,
sin\theta_{2} = \frac{n_{1}}{n_{2}}
If I plug this into my first equation I get an inconsistency because,
sin\theta_{1} \neq 1
What am I doing wrong?