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Question

I need help with 3 and 4 only, Thank You...

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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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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