Question

If a mu b is refractive index of medium A with respect to medium B, then which of the following relations is correct for refractive index? ​

Answer 1

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Answer 2

Although your question is incomplete, you may be referring to:

If aμb is the refractive index of medium A with respect to medium B, then which of the following relations is correct for the refractive index?

(a) aμb = $\frac{Mua}{Mub}$                                       (b) aμb = $\frac{Mu_{b} }{Mua}$

(c) aμb = μᵃ × μᵇ                                   (d) aμb = μᵃ + μᵇ  

The correct relation for the refractive index is  aμb = $\frac{Mua}{Mub}$. (option a)

What is the refractive index?

• The Refractive index is the measure of the extent of bending of light when it passes from one medium to another.
• It is measured as the ratio of the speed of light in a vacuum and the speed of light in a medium.
• Thus, in a medium 'a', refractive index is given by:

                                        μᵃ = $\frac{c}{v_{a} }$

where vₐ is the speed of light in medium A.

• Since the refractive index is a ratio, it does not have any dimensions.

• In the question, we are given the refractive index of medium A with respect to medium B, thus the correct relation will be:

                              ᵃμb =  $\frac{Mua}{Mub}$

Therefore, the correct option is (a).