The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/2 i $s _________nm.$
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Question

The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/2 i $s _________nm.$

Options

G1 Physics · Accepted Answer

The frequency of light remains unchanged while passing from one transparent medium to another. Since v = fλ and μ = c/v, we have λ ∝ 1/μ. Therefore, λ₂/λ₁ = μ₁/μ₂. Given, λ₁ = 540 nm, μ₁ = 4/3, μ₂ = 3/2. Hence, λ₂ = 540 × [(4/3)/(3/2)] = 540 × 8/9 = 480 nm. Correct option: C.

The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/2 i s _________nm.