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MHT CET · Physics · Ray Optics

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. A 37.5 cm
  2. B 50 cm
  3. C 45 cm
  4. D 40 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 45 cm

Step-by-step Solution

Detailed explanation

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