If _i{mu _j} represents the refractive index | vedclass

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(C) The refractive index of medium $j$ with respect to medium $i$ is defined as $_i{\mu _j} = \frac{\mu_j}{\mu_i}$,where $\mu$ represents the absolute

Vedclass · Accepted Answer

$\frac{1}{{_1{\mu _4}}}$

Vedclass · Answer

(C) The refractive index of medium $j$ with respect to medium $i$ is defined as $_i{\mu _j} = \frac{\mu_j}{\mu_i}$,where $\mu$ represents the absolute refractive index of the medium.Given the expression: $_2{\mu _1} 	imes {\,_3}{\mu _2} 	imes {\,_4}{\mu _3}$.Substituting the definition: $\frac{\mu_1}{\mu_2} 	imes \frac{\mu_2}{\mu_3} 	imes \frac{\mu_3}{\mu_4}$.Canceling the common terms $\mu_2$ and $\mu_3$,we get: $\frac{\mu_1}{\mu_4}$.By definition,$\frac{\mu_1}{\mu_4} = {_4}{\mu _1}$.Since $_4{\mu _1} = \frac{1}{{_1{\mu _4}}}$,the product is equal to $\frac{1}{{_1{\mu _4}}}$.

If $_i{\mu _j}$ represents the refractive index when a light ray goes from medium $i$ to medium $j,$ then the product $_2{\mu _1} \times {\,_3}{\mu _2} \times {\,_4}{\mu _3}$ is equal to

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