what is the answer to this physics questions?
1. A ray of light in the air is incident on an air to glass boundary at an angle of exactly 3.0×10^1 with the normal. If the index of refraction of the glass is 1.65, what is the angle of the refracted ray within the glass with the respect to the normal?
a) 56
b) 46
c) 29
d) 18
c) 29
2. a lapidary cuts a diamond so that the light will refract at the angle of 17.0 to the normal. What is the index of refractor of the diamond when the angle of incidence is 45.0?
a) 2.13
b) 1.74
c) 1.23
d) 2.42
I need TONS of Answers!! thank you!!!!!!!!!!!
n_i*sin(I) = n_r*sin(R)
1.
sin(R) = (n_i/n_r)*sin(I)
R = arcsin{(n_i/n_r)*sin(I)}
R = arcsin{(1/1.65)*sin(30)}
R = arcsin{(1/1.65)*0.5}
R = 17.64 degrees
answer: d) 18
2.
n_r = n_i*sin(I)/sin(R)
n_r = 1*sin(45)/sin(17)
n_r = 2.42
answer: d) 2.42
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