Q90 / 120 · VITEEE 2017 · Physics

A vessel of depth $2 \mathrm{~d} \mathrm{~cm}$ is half filled with a liquid of refractive index $\mu_{1}$ and the upper half with a liquid of refractive index $\mu_{2} .$ The apparent depth of the vessel seen perpendicularly is

  • A
    $\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right) \mathrm{d}$
  • Correct answer
    B
    $\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) \mathrm{d}$
  • C
    $\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right) 2 \mathrm{~d}$
  • D
    $\left(\frac{1}{\mu_{1} \mu_{2}}\right) 2 \mathrm{~d}$

Solution

Apparent depth $=\mathrm{d} / \mu_{1}+\mathrm{d} / \mu_{2}$.

Hence, the correct answer is option: 'B'.

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