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Question

The Refractive index of a medium is


A

directly proportional to the wavelength of light in air

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B

inversely proportional to the wavelength of light in air

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C

inversely proportional to the square of the wavelength of light in air

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D

directly proportional to the square of the wavelength of light in air

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Solution

The correct option is B

inversely proportional to the wavelength of light in air


Explanation

  1. If the refractive index of a medium is high then the velocity of light decreases in that medium.
  2. μ=cv where mu is the refractive index, c is the velocity of light in air or vacuum and v is the velocity of light in the medium.
  3. Now, v=fλ. So, we get, μ=cfλ.

Hence, option (B) is the correct answer.


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