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 1) What is p2, the angle the beam in the prism makes with the horizontal axis? degrees Submit 30⁰ 71.9 2) What is n, the index of refraction of the prism for red light? d Submit dviolet < d dviolet = d dviolet > d 0₂ 3) What is p3, the angle the transmitted beam makes with the horizontal axis? degrees Submit Submit 03 (+) 4) What is P1,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit 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 1, y = 600 with the horizontal. What is 43,v, the angle the transmitted beam makes with the horizontal axis?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 127PQ: Light enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at...
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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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