Ray Optics and Optical Instruments

Question: Each quarter of a vessel of depth H is filled with liquids of the refractive indices $n_1$, $n_2$, $n_3$ and $n_4$ from the bottom respectively. The apparent depth of the vessel when looked normally is

1) $\frac{H({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4}$

2) $\frac{H\left( \frac{1}{{{n}_{1}}}+\frac{1}{{{n}_{2}}}+\frac{1}{{{n}_{3}}}+\frac{1}{{{n}_{4}}} \right)}{4}$

3) $\frac{({{n}_{1}}+{{n}_{2}}+{{n}_{3}}+{{n}_{4}})}{4H}$

4) $\frac{H\left( \frac{1}{{{n}_{1}}}+\frac{1}{{{n}_{2}}}+\frac{1}{{{n}_{3}}}+\frac{1}{{{n}_{4}}} \right)}{2}$

Solution:

Explanation: No Explanation

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