Question

When a ray of light is refracted from one medium to another, then the wavelength changes from 6000 Å to 4000 Å. The critical angle for the interface will be ______.

पर्याय

• `cos^-1 (3/2)`

• `sin^-1 (2/sqrt 3)`

• `sin^-1 (2/3)`

• `cos^-1 (2/sqrt 3)`

Answer 1

When a ray of light is refracted from one medium to another, then the wavelength changes from 6000 Å to 4000 Å. The critical angle for the interface will be `bbunderline(sin^-1 (2/3))`.

Explanation:

Given: Initial wavelength (λ₁) = 6000 Å

Final wavelength (λ₂) = 4000 Å

μ = `v_1/v_2`

= `(v lambda_1)/(v lambda_2)`

= `6000/4000`

= `3/2`

Critical angle (i_c) = `sin^-1 (1/mu)`

= `sin^-1 (2/3)`