Question

If the angle of incidence and angle of emergence of a light ray falling on a glass slab are i and e respectively, prove that, i = e.

Answer 1

Answer:

Hey mate! Here is your proof.

Explanation:

We know that the two glass slabs are parallel to each other.

Let us consider the refractive index of the glass slab to be μ.

Now,

We are going to follow the Snell's law of Refraction.

So if we apply, we get;

Sin i / Sin $r_{1}$ = μ. ----------- 1

But we also know that $r_{1} =r_{2}$

So we get,

Sin $r_{2}$ / Sin e = μ. --------------- 4

When we multiply  1 and 4, we get,

Sin i / Sin e = 1

Then sin and sin gets cut and we are left with i / e = 1

Therefore,

i = e

Hence proved.

Hope helps....

Answer 2

Explanation:

according to the second law of reflection. angle of incidence=angle of reflection.

thus, the angle of emergence of a light ray falling on glass slab is the angle of reflection.

thus , i=e