The refractive indices of two transparent media A and B are \(\frac{3}{2}\) and \(\frac{4}{3}\), respectively. The refractive index of medium A with respect to medium B is equal to:

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RRB Group D 13 Sept 2022 Shift 1 Official Paper
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  1. \(\frac{9}{8}\)
  2. \(\frac{1}{2}\)
  3. \(\frac{8}{9}\)
  4. \(\frac{3}{4}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{9}{8}\)
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Detailed Solution

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The correct answer is 9/8.Key Points

  • Refractive index is the measure of the bending of light as it passes through a medium.
  • The refractive index of medium A with respect to medium B can be calculated by dividing the refractive index of medium A by the refractive index of medium B.
  • Therefore, the refractive index of medium A with respect to medium B is 3/2 divided by 4/3 = 9/8.

Additional Information

  • How much light is bent, or refracted, as it enters a material is determined by its refractive index.
  • In mathematical formulae and descriptive texts, the letter n or n' is most frequently used to represent the refractive index variable.
  • The velocity of light of a certain wavelength in empty space, c, divided by its velocity in a substance, v, yields the refractive index, which is also equal to n = c/v. 
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