Which of the following is a correct relation?

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(D) The refractive index of a medium $2$ with respect to medium $1$ is given by $_1\mu_2 = \frac{\mu_2}{\mu_1}$.Given the expression in option $D$: $\

Vedclass · Accepted Answer

$_a\mu_r / _w\mu_r = _a\mu_w$

Vedclass · Answer

(D) The refractive index of a medium $2$ with respect to medium $1$ is given by $_1\mu_2 = \frac{\mu_2}{\mu_1}$.Given the expression in option $D$: $\frac{_a\mu_r}{_w\mu_r}$.Substituting the refractive indices: $\frac{_a\mu_r}{_w\mu_r} = \frac{\mu_r / \mu_a}{\mu_r / \mu_w}$.Simplifying the fraction: $\frac{\mu_r}{\mu_a} 	imes \frac{\mu_w}{\mu_r} = \frac{\mu_w}{\mu_a}$.By definition,$\frac{\mu_w}{\mu_a} = _a\mu_w$.Therefore,the relation $\frac{_a\mu_r}{_w\mu_r} = _a\mu_w$ is correct.

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