Question

A
ray
Of light from a liquid (refractive index=
$\sqrt{3}$

Incident on a system of two right angled
prisms of refractiveindex
$\sqrt{3}$
and rear
suffers
zero deviatico
shown the
ray
when emerges into the air from CD the
angle of incidence
i is
​

Answer 1

Answer:

First, we apply the law of refraction for the interface AC,

The incident angle will be 90−i

3

​  

sin(90−i)=  

2

​  

sinr

3

​  

cosi=  

2

​  

sinr

Now, for the interface CD,

2

​  

sin(90−r)=sini

Thus,  

2

​  

cosr=sini

We have two equations in i and r,  squaring and adding these 2,

we get,

2cos  

2

i+1=2

This gives, cos i=  

2

​  

 

1

​  

 

Thus, i=45