Question

A ray of light is incident at an angle of 45° on one face of a rectangular glass slab of thickness 10 cm and refractive index 3/2. Calculate the lateral shift produced ______.

Options

• 0.33 m

• 0.45 m

• 0.33 m

• 0.045 m

Answer 1

A ray of light is incident at an angle of 45° on one face of a rectangular glass slab of thickness 10 cm and refractive index 3/2. Calculate the lateral shift produced 0.33 m.

Explanation:

Here i = 45°, t = 10 cm = 0.1 m, µ = 1.5 lateral shift = ?

As, `mu = (sin "i"_1)/(sin "r"_1)`

`therefore sin "r"_1 = (sin "i"_1)/mu = (sin 45^circ)/1.5`

`sin "r"_1 = 0.707/1.5`

r₁ = 28.14°

lateral shift = `("t" sin ("i"_1 - "r"_1))/(cos "r"_1)`

lateral shift = 0.033 m