$A$ beaker contains water up to a height of $h_1$ and kerosene above the water up to a height of $h_2$. The total height is $(h_1 + h_2)$. The refractive index of water is $\mu_1$ and that of kerosene is $\mu_2$. What is the apparent shift of the bottom of the beaker when viewed from above?

  • A
    $\left( {1 - \frac{1}{{{\mu _1}}}} \right)\,{h_2} + \left( {1 - \frac{1}{{{\mu _2}}}} \right)\,{h_1}$
  • B
    $\left( {1 + \frac{1}{{{\mu _1}}}} \right)\,{h_1} - \left( {1 + \frac{1}{{{\mu _2}}}} \right)\,{h_2}$
  • C
    $\left( {1 - \frac{1}{{{\mu _1}}}} \right)\,{h_1} + \left( {1 - \frac{1}{{{\mu _2}}}} \right)\,{h_2}$
  • D
    $\left( {1 + \frac{1}{{{\mu _1}}}} \right)\,{h_2} - \left( {1 + \frac{1}{{{\mu _2}}}} \right)\,{h_1}$

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