A monochromatic laser beam has a wavelength of 514 nm in air. Calculate the wavelengthof the laser light when the beam propagates through water
Question
A monochromatic laser beam has a wavelength of 514 nm in air. Calculate the wavelength of the laser light when the beam propagates through water.
Solution
The speed of light in a medium is given by c/n, where c is the speed of light in vacuum and n is the refractive index of the medium. The refractive index of water is approximately 1.33.
The wavelength of light in a medium is given by λ = λ0/n, where λ0 is the wavelength in vacuum and n is the refractive index of the medium.
Given that the wavelength of the laser light in air (which we can approximate as vacuum for this purpose) is 514 nm, the wavelength of the laser light in water is:
λ = λ0/n = 514 nm / 1.33 ≈ 386 nm.
So, the wavelength of the laser light when the beam propagates through water is approximately 386 nm.
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