A ray of light travels from air to water to glass and again from glass to air. Refractive index of water…

A ray of light travels from air to water to glass and again from glass to air. Refractive index of water with respect to air is ' $x^{\prime}$, glass with respect to water is ' $y^{\prime}$ and air with respect to glass is 'z'. Which one of the following is correct?
  1. xz=v
  2. $\mathbf{z}=\mathbf{x}$
  3. $\mathrm{xyz}=1$
  4. $\mathrm{x} y=\mathbf{z}$

Solution

$\mathrm{X}=\frac{\mathrm{V}_{\mathrm{a}}}{\mathrm{V}_{\omega}}, \quad \mathrm{Y}=\frac{\mathrm{V}_{\mathrm{w}}}{\mathrm{V}_{\mathrm{g}}}, \mathrm{Z}=\frac{\mathrm{V}_{\mathrm{g}}}{\mathrm{V}_{\mathrm{a}}}$ $\therefore \mathrm{XYZ}=1$

Asked in: MHT CET 2020 (14 Oct Shift 1)

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