Index.of Photobucket Please Help With Finding The Angle Of Incidence!?

Please help with finding the angle of incidence!? - index.of photobucket

Link to image: http://i608.photobucket.com/albums/tt165/trojans_cheerchick/liquid_compare-1.png

The equilateral glass prism shown in the link has a refractive index of 1.56. The prism is surrounded by air. A light beam hits the center of the left face of the prism. What is the smallest angle of incidence for the ray of the right side of the prism sheets?

1 comments:

DH said...

This can be difficult to follow without a picture, but I'll try

From the beginning we know that the angle of departure at the border 90 ° if sin (is 90) = 1

Thus n_b * sin (θ2) = 1.0 ... and θ2 = arcsin (1/1.56) = 39.87o

Thus, the complementary angle to angle from 90 to 39.87 = 50.13o

However, this upper triangle, the angle of an angle of 50.13 and 60. so that the third angle of the upper triangle is 180 - (50.13 60) = 69.87W

Therefore, the angle of refraction for the input beam is 90-69.87 = 20.13o

Now, for the incident beam 1 * sin (θ) = 1.56 * sin (20.13) => θ = arcsin (1.56 * sin (20.13)) = 32.5o

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