If ${ }_{\mathrm{i}} \mu_{\mathrm{j}}$ represents refractive index when ray goes from medium $\mathrm{i}$ to…

If ${ }_{\mathrm{i}} \mu_{\mathrm{j}}$ represents refractive index when ray goes from medium $\mathrm{i}$ to medium $\mathrm{j}$, then the product ${ }_2 \mu_1 \times\mu_2 \times \mu_3$ is equal to
  1. $\frac{1}{{ }_3 \mu_2}$
  2. ${ }_3 \mu_2$
  3. $\frac{1}{1 \mu_4}$
  4. ${ }_4 \mu_2$

Solution

So, ${ }_2 \mu_1 \times{ }_3 \mu_2 \times{ }_4 \mu_3=\frac{\mu_1}{\mu_2} \times \frac{\mu_2}{\mu_3} \times \frac{\mu_3}{\mu_4}=\frac{\mu_1}{\mu_4}={ }_4 \mu_1=\frac{1}{1 \mu_4}$

Asked in: MHT CET 2022 (07 Aug Shift 2)

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