Math, asked by dsbhasin409, 1 year ago

Show that angle of deviation depends on angle of incidence

Answers

Answered by danielochich
6
Consider the ray ABCD.

The angle of incidence is i and angle of deviation is D.

We know that we can reverse the light ray hence consider a ray DCBA.

The angle of incidence is e and the angle of deviation is d.

When a straight line intersect at two points, the opposite angles are equal.

Therefore we will have two angles of incidence for the same angle of deviation that is i and e.

The angle of the prism A equals :

A = i + e - d

In terms of d :

d = i + e - A

We can plot the angle of deviation against the angle of incidence.

From the graph we observe that as i increases, the angle of deviation d decreases until it attains a minimum value then it starts increasing for further increase in angle if incidence.
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