Question

A ray of light is incidence on a substance of refractive index m at an angle of incidence of 60 degree . if the angle of refraction was 30 degree, find m square?

Answer 1

Answer:

3

Explanation:

sin i/sin r = sin 60/sin 30

= root 3

and square of root 3 = 3

Answer 2

Answer:

The value of m² will be 3.

Explanation:

We will solve this question through the concept of Snell's law. Snell's law in optics shows the relationship between the path taken by a ray of light in crossing the boundary of separation between two contacting surfaces and the refractive index of each. i.e.

$\mu_1 \times sin\theta_1=\mu_2 \times sin\theta_2$         (1)

μ₁=1 (as it will be air)

sinθ₁=60°

sinθ₂=30°

μ₂=m

By placing these values in equation (1) we get;

$1\times sin60\textdegree=m\times sin30\textdegree$

$m=\sqrt{3}$

$m^2=3$

Hence, the value of m² will be 3.