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MHT CET · Physics · Ray Optics

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. A xz=v
  2. B \(\mathbf{z}=\mathbf{x}\)
  3. C \(\mathrm{xyz}=1\)
  4. D \(\mathrm{x} y=\mathbf{z}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{xyz}=1\)

Step-by-step Solution

Detailed explanation

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