A ray of light travels from air to water to g | vedclass

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(C) Let $n_{aw}$ be the refractive index of water with respect to air,$n_{gw}$ be the refractive index of glass with respect to water,and $n_{ag}$ be

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$xyz=1$

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(C) Let $n_{aw}$ be the refractive index of water with respect to air,$n_{gw}$ be the refractive index of glass with respect to water,and $n_{ag}$ be the refractive index of air with respect to glass. Given: $x = n_{aw}$,$y = n_{gw}$,and $z = n_{ag}$.By the principle of reversibility and the definition of relative refractive indices,we have:$x = \frac{n_w}{n_a}$$y = \frac{n_g}{n_w}$$z = \frac{n_a}{n_g}$Multiplying these three expressions:$x \cdot y \cdot z = \left(\frac{n_w}{n_a}\right) \cdot \left(\frac{n_g}{n_w}\right) \cdot \left(\frac{n_a}{n_g}\right) = 1$Therefore,$xyz = 1$.

$A$ ray of light travels from air to water to glass and again from glass to air. The refractive index of water with respect to air is $x$,glass with respect to water is $y$,and air with respect to glass is $z$. Which one of the following is correct?

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