Question

Light passes from air to glass and is deviated 3.5°. When the angle of incidence is 10°, the refractive index of the material of the glass is ______.

Options

• 1.33

• 1.50

• 1.52

• 1.54

Answer 1

Light passes from air to glass and is deviated 3.5°. When the angle of incidence is 10°, the refractive index of the material of the glass is 1.54.

Explanation:

Deviation, δ = 3.5°

Angle of incidence, i = 10°

Refraction angle (r) = i − δ

= 10° − 3.5°

= 6.5°

Using Snell’s law:

n = `sin i/sin r`

= `(sin 10°)/(sin 6.5°)`

= `0.1736/0.1132`

= 1.534

≈ 1.54 (nearest option)