Red light is incident in air on a 30°-60°-90° prism as shown. The incident beam

Question

Red light is incident in air on a 30°-60°-90° prism as shown. The incident beam is directed at an angle of p1 -43.7° with respect to the horizontal and enters the prism at a height h- 19 cm above the base. The beam leaves the prism to the air at a distance d- 49.5 along the base as shown. 300 i) What is ?2, the angle the bean in the prism makes with the horizontal axis? degrees 2) What is n, the index of refraction of the prism for red light? 3) What is p3, the angle the transmitted beam makes with the horizontal axis? degrees 4) What is ?1 a , the maximum value of ?1 for which the incident beam experences total internal reflection at the horizontal face of the prism? degrees 6) Suppose now that the violet beam is incident at height h, but makes an angle o1,y-60° with the horizontal. What is ?3.v, the angle the transmitted beam makes with the horizontal axis? degrees

Explanation / Answer

Since you didn't provide the part 5 in which value for refractive index of violet light is mentioned, so I'm considering it 1.62 . Please solve accordingly.

nv sin 30° = na sin theta

1.62 x sin 30° = 1 x sin theta (Refractive index for violet light = 1.62)

Sin theta = 1.62 x 0.5 = 0.81

Theta = 54.096°

Phi = 90 - 54.096 = 35.90°

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