A monochromatic light wave with wavelength λ₁ and frequency ν₁ in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then the wavelength λ₂ and frequency ν₂ of the refracted wave are:
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Question

A monochromatic light wave with wavelength λ₁ and frequency ν₁ in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then the wavelength λ₂ and frequency ν₂ of the refracted wave are:

Options

G1 Physics · Accepted Answer

Frequency of light does not change when light passes from one medium to another: ν₂ = ν₁ Using Snell's law: n = sin45°/sin30° = (1/√2)/(1/2) = √2 Since v = νλ and frequency is unchanged, λ₂ = λ₁/n = λ₁/√2 Therefore: λ₂ = λ₁/√2 and ν₂ = ν₁ Hence option A follows.