A ray of light is incident on a glass slab making an angle of $60°$with the surface. Calculate the angle of refraction in glass if the refractive index of glass is 1.5

sin^-1(1/3)

Angle of Refraction in a Glass Slab

To solve the problem involving a glass slab, we use Snell's Law:

μ = sin(i) / sin(r)

Where:

• μ = 1.5 (refractive index of the glass slab)
• i = 30° (angle of incidence, as 90° - 60° = 30°)
• r is the angle of refraction in the glass slab, which we need to calculate.

Step-by-Step Solution:

1. Apply Snell's Law: 
   1.5 = sin(30°) / sin(r)
2. Substitute sin(30°) = 1/2: 
   1.5 = (1/2) / sin(r)
3. Rearrange the equation to find sin(r): 
   sin(r) = (1/2) / 1.5 = 1/3
4. Find r by taking the inverse sine: 
   r = sin^-1(⅓)

The angle of refraction within the glass slab is:

r = sin^-1(1/3)