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

Question

Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of ?1 = 35.1owith respect to the horizontal and enters the prism at a height h = 28 cm above the base. The beam leaves the prism to the air at a distance d = 81.9 along the base as shown.

Red light is incident in air on a 300-600-90 o prism as shown. The incident beam is directed at an angle of 1-35.10 with respect to the horizontal and enters the prism at a height h = 28 cm above the base. The beam leaves the prism to the air at a distance d = 81.9 along the base as shown. 30° 2 1) What is 2, the angle the beam in the prism makes with the horizontal axis? degrees Submit 2) What is n, the index of refraction of the prism for red light? Submit 3) What is p3, the angle the transmitted beam makes with the horizontal axis? degrees Submit

Explanation / Answer

phi2 = tan^-1(h/d-c)

c = h/tan30

d = 81. 9cm

phi2 = 39.97 degree

part b )

na*sintheta1 = ng*sintheta2

90 = 30 + phi + theta1

theta1 = 24.9 degree

180 = 30 + 39.97 +A

A = 110.03

theta2 = A -90 = 20.03 degree

ng = sin24.9/sin20.03

ng = 1.229 = 1.23

part 3 )

ng*sin(90-39.97) = na*theta3

theta3 = 70.37 degree

phi3 = 90 - 70.37 = 19.63 degree

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