Red light is incident in air on a 30° -60°-90° prism as shown. The incident beam is directed at an angle of P₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 30⁰ 1.36 01 71.9 d 1) What is 42, the angle the beam in the prism makes with the horizontal axis? 45.66 degrees Submit Submit 2) What is n, the index of refraction of the prism for red light? h $3 3) What is 3, the angle the transmitted beam makes with the horizontal axis? degrees Submit

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Red light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is
directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism
at a height h = 20 cm above the base. The beam leaves the prism to the air at a
distance d = 54.2 along the base as shown.
45.66
1.36
30⁰
1) What is 2, the angle the beam in the prism makes with the horizontal axis?
71.9
d
degrees Submit
2) What is n, the index of refraction of the prism for red light?
dviolet
<d
dviolet = d
dviolet > d
Submit
Submit
02
3) What is 3, the angle the transmitted beam makes with the horizontal axis?
h
degrees Submit
03
degrees Submit
(+)
4) What is 41,max, the maximum value of 1 for which the incident beam experiences
total internal reflection at the horizontal face of the prism?
degrees Submit
+
+
5) The red beam is now replaced by a violet beam that is incident at the same angle 1
and same height h. The prism has an index of refraction nviolet = 1.46 for violet
light. Compare dviolet, the exit distance for violet light, to d, the exit distance for red
light.
+
+
6) Suppose now that the violet beam is incident at height h, but makes an angle 41,v=
60⁰ with the horizontal. What is 43,v, the angle the transmitted beam makes with
the horizontal axis?
Transcribed Image Text:Red light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 45.66 1.36 30⁰ 1) What is 2, the angle the beam in the prism makes with the horizontal axis? 71.9 d degrees Submit 2) What is n, the index of refraction of the prism for red light? dviolet <d dviolet = d dviolet > d Submit Submit 02 3) What is 3, the angle the transmitted beam makes with the horizontal axis? h degrees Submit 03 degrees Submit (+) 4) What is 41,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit + + 5) The red beam is now replaced by a violet beam that is incident at the same angle 1 and same height h. The prism has an index of refraction nviolet = 1.46 for violet light. Compare dviolet, the exit distance for violet light, to d, the exit distance for red light. + + 6) Suppose now that the violet beam is incident at height h, but makes an angle 41,v= 60⁰ with the horizontal. What is 43,v, the angle the transmitted beam makes with the horizontal axis?
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