Question 355: Ray Optics

Question

A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $$\mu $$, then the angle of incidence is nearly equal to :

Accepted Answer

Since the light emerges normally from the other surface, the angle of, emergence
e = 0
For the triangular prism, we know
r
1
+ r
2
= A
But, e = r
2
= 0
So, r
1
= A
For surface 1,
Snell's Law is $$\sin i = \mu .\sin {r_1}$$
$$\sin i = \mu .\sin {A}$$
For small angles $$	heta $$ = sin$$	heta $$
So, i = $$\mu $$.A

Answer

$${{2A} \over \mu }$$

Answer

$$\mu $$A

Answer

$${{\mu A} \over 2}$$

Answer

$${A \over {2\mu }}$$

Ray Optics

A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu $, then the angle of incidence is nearly equal to :

Choose the correct answer: