**Is Light Reflected or Refracted?**

Part A = Increases

Part B = +1

Part C = θ_{2} > θ_{1}

Part D = θ_{2} < θ_{1}

Part E = Just pick the material with the greatest index of refraction

Part F = Increases up to a maximum value of 90 degrees.

Part G = 0.7297 radians

**Solution Below:**

Part A

Increases

Part B

The answer is +1

+1

Part C

_{1}≠ 0, which of the following relations regarding the angle of refraction, θ

_{2}, is correct?

The answer is:

θ_{2} > θ_{1}

θ_{2} > θ_{1}

Part D

_{1}≠ 0, which of the following relations regarding the angle of refraction, θ

_{2}, is correct?

The answer is:

θ_{2} < θ_{1}

θ_{2} < θ_{1}

Part E

_{1}, in which material will the direction of propagation of the ray change the most due to refraction?

Just pick the material with the greatest index of refraction

Just pick the material with the greatest index of refraction

Part F

_{1}> n

_{2}, if the incidence angle is increased, the angle of refraction

Increases up to a maximum value of 90 degrees.

Increases up to a maximum value of 90 degrees.

Part G

_{crit}for light propagating from a material with an index of refraction of 1.50 to a material with an index of refraction of 1.00?

Express your answer in radians.

The critical angle is the angle at which the angle of refraction equals 90 degrees. Use Snell’s law:

nsin(θ_{1}) = nsin(θ_{2})

1.50 * sin(θ_{crit}) = 1.00sin(90)

1.50 * sin(θ_{crit}) = 1.00sin(90)

1.50 * sin(θ_{crit}) = 1.00

sin(θ_{crit}) = 0.667

θ_{crit} = 0.7297 radians

Make sure your calculator is in radians mode!

0.7297 radians