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6 October, 09:00

A beam of light with a wavelength 760 nm in air travels in water. The index of refraction of water is 1.33. What is the wavelength in water?

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  1. 6 October, 12:42
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    The wavelength of water = 571.43 nm

    Explanation:

    Refractive index of water = wave length of light in air/wave length of light in water

    R. d = λ₁/λ₂ ... Equation 1

    making λ₂ the subject of equation 1

    λ₂ = λ₁/R. d ... Equation 2

    R. d = refractive index of water, λ₁ = wave length of light in air, λ₂ = wave length of light in water

    Given: R. d = 1.33, λ₁ = 760nm

    Substituting these values into equation 2

    λ₂ = 760/1.33

    λ₂ = 571.43 nm

    Therefore the wavelength of water = 571.43 nm
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