Question

The critical angle for a ray of light from glass to air is 'θ' and refractive index of glass with respect to air is 'n'. If a ray of light is incident from air to glass at an angle 'θ', then corresponding angle of refraction is ______.

Options

• `sin^-1(1/n)`

• `cos^-1(1/n)`

• `sin^-1(1/n^2)`

• `cos^-1(1/n^2)`

Answer 1

The critical angle for a ray of light from glass to air is 'θ' and refractive index of glass with respect to air is 'n'. If a ray of light is incident from air to glass at an angle 'θ', then corresponding angle of refraction is `underline(sin^-1(1/n^2))`.

Explanation:

Since θ is critical angle from glass to air, the refractive index of glass is n `=1/sintheta`

When ray is incident at an angle θ in air, we have

`"n"=sintheta/sin"r"=1/sintheta`