the wavelength of a laser light is 372.6 nm in air. what is the wavelength of the laser light in a transparent medium that has an index of refraction of 2.08 in units of nm?



Answer :

The wavelength of the laser light in a transparent medium is 234.70 nm.

What is the Refractive index?

  • Wavelength can affect the refractive index. White light is refracted as a result and separated into its component hues.
  • Dispersion is the term for this. Prisms, rainbows, and chromatic aberration in lenses are all examples of this effect.
  • A complex-valued refractive index can be used to explain how light moves through absorbing materials.
  • After then, the imaginary part takes care of attenuation, and the real part takes care of refraction.
  • Across the visible spectrum, the refractive index varies with wavelength for the majority of materials by several percent.
  • However, the refractive indices of materials are frequently reported using a single value for n, which is normally determined at 633 nm.
  • From X-rays to radio waves, the refractive index principle is applicable to the entire electromagnetic spectrum.

We know that the refraction index, n, is defined as the ratio of the wavelength in the vacuum to the wavelength in the medium.

n = λ / λₓ

Given that

n = refraction index  = 2.08

λ = wavelength of the laser light in air = 372.6 nm.

λₓ = wavelength of the laser light in a transparent medium

We know that

refraction index = wavelength of the laser light in air /λₓ

2.34  =  549.2 nm/λₓ

λₓ=234.70 nm

Therefore, the wavelength of the laser light in a transparent medium is 234.70 nm.

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