Let ${ }^{\prime} \mu_{1}{ }^{\prime}$ and ${ }^{\prime} \mu_{2}{ }^{\prime}$ be the refractive indices of…

Let ${ }^{\prime} \mu_{1}{ }^{\prime}$ and ${ }^{\prime} \mu_{2}{ }^{\prime}$ be the refractive indices of two media. ' $\mathrm{v}_{1}{ }^{\prime}$ and ' $\mathrm{v}_{2}$ ' are the velocities of light in the media respectively. Which one of the following relations is TRUE?
  1. $\mu_{1} \mathrm{v}_{1}=\mu_{2} \mathrm{v}_{2}$
  2. $\mu_{2} \mathrm{v}_{1}=\mu_{1} \mathrm{v}_{2}$
  3. $\mu_{1} \mathrm{v}_{1}^{2}=\mu_{2} \mathrm{v}_{2}^{2}$
  4. $\mu_{2}^{2} \mathrm{v}_{1}=\mu_{1}^{2} \mathrm{v}_{2}$

Solution

$\mu_{1}=\frac{c}{v_{1}} \quad \mu_{2}=\frac{c}{v_{2}}$ $\therefore \quad \mu_{1} v_{1}=\mu_{2} v_{2}$

Asked in: MHT CET 2020 (15 Oct Shift 1)

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