Light incident from air strikes a diamond at 30? a) At what angle to the normal

Question

Light incident from air strikes a diamond at 30?

a) At what angle to the normal a is the light reflected back into air?

b) At what angle to the normal a is the light refracted inside the diamond?

c) At what angle to the normal b is the light incident on the back side of the diamond?

d) At what angle to the normal b is the light reflected on the back side of the diamond?

e) at what angle to the normal b is the light refracted back into air on the back side of the diamond?

I don't even know where to start ...

Explanation / Answer

a.)r= 30

b.) n1sin30= n2sin2

sin2=0.208

2=12.02

c.)3= 90-(180-135-12.02)

3= 57.02

d.) 5= 57.02

2.4 sin3= 1 sin4

sin4= 2.01

so light will have total internal reflection and it wont go out.

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