Three immiscible liquids of densities $d_1 > d_2 > d_3$ and refractive indices $\mu_1 > \mu_2 > \mu_3$ are put in a beaker. The height of each liquid column is $\frac{h}{3}$. $A$ dot is made at the bottom of the beaker. For near normal vision,find the apparent depth of the dot.

  • A
    $\frac{h}{3} \left( \frac{1}{\mu_1} + \frac{1}{\mu_2} + \frac{1}{\mu_3} \right)$
  • B
    $\frac{h}{6} \left( \frac{1}{\mu_1} + \frac{1}{\mu_2} + \frac{1}{\mu_3} \right)$
  • C
    $\frac{h}{3} \left( \frac{1}{\mu_1} - \frac{1}{\mu_2} - \frac{1}{\mu_3} \right)$
  • D
    $\frac{h}{6} \left( \frac{1}{\mu_1} - \frac{1}{\mu_2} - \frac{1}{\mu_3} \right)$

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