A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1…

A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index 1.5. The apparent depth of vessel when viewed normally is
  1. 37.5 cm
  2. 50 cm
  3. 45 cm
  4. 40 cm

Solution

$\begin{aligned} \begin{aligned} \text { Apparent depth } & =\frac{\mathrm{d}_1}{\mathrm{n}_1}+\frac{\mathrm{d}_2}{\mathrm{n}_2} \\ & =\frac{40}{1.6}+\frac{30}{1.5} \\ \text { Apparent depth } & =45 \mathrm{~cm}\end{aligned}\end{aligned}$

Asked in: MHT CET 2024 (11 May Shift 2)

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