The prism shown below has a vertical left face and the right face makes an angle

Question

The prism shown below has a vertical left face and the right face makes an angle such that ?x=2.6 cm and ?y=3.0cm. White light enters horizontally from the left and is refracted at the right face. For this material the index of refraction is different for red light and for blue light (nr = 1.426 and nb = 1.431). What are the angles of these two rays when they emerge from the prism and what is the angle difference between them? Assume the prism is surrounded by air  (na =1.000) and keep enough significant figures to determine the difference to two significant figures.

The prism shown below has a vertical left face and the right face makes an angle such that ?x=2.6 cm and ?y=3.0cm. White light enters horizontally from the left and is refracted at the right face. For this material the index of refraction is different for red light and for blue light (nr = 1.426 and n b = 1.431). What are the angles of these two rays when they emerge from the prism and what is the angle difference between them? Assume the prism is surrounded by air (n a =1.000) and keep enough significant figures to determine the difference to two significant figures.

Explanation / Answer

angle=arctan(deltax/deltay)

=40.91 degree

This angle to the normaof inclined plane is same

Now for red light

1/1.426=sin(40.91)/sin(theta_r)

theta_r=69.04

and

similarly for blue

1/1.431=sin(40.91)/sin(theta_b)

theta_b=69.57 ans

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