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Question: Answered & Verified by Expert
A ray of light travels from air to water to glass and again from glass to air. Refractive index of water w.r.t. air is ' $\mathrm{X}$ ', glass w.r.t. water is ' $Y$ and air w.r.t. glass is ' $\mathrm{Z}$ '. Which one of the following is correct?
PhysicsRay OpticsMHT CETMHT CET 2021 (23 Sep Shift 2)
Options:
  • A $Y Z=X$
  • B $X Y Z=1$
  • C $X Y=Z$
  • D $X Z=Y$
Solution:
1484 Upvotes Verified Answer
The correct answer is: $X Y Z=1$
$\begin{aligned} & X=\frac{v_a}{v_w}, Y=\frac{v_w}{v_g}, Z=\frac{v_g}{v_a} \\ & \therefore X Y Z=1\end{aligned}$

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