A glass cube of length $24 \mathrm{~cm}$ has a small air bubble trapped inside. When viewed normally from…

A glass cube of length $24 \mathrm{~cm}$ has a small air bubble trapped inside. When viewed normally from one face it is $10 \mathrm{~cm}$ below the surface. When viewed normally from the opposite face, its apparent distance is $6 \mathrm{~cm}$. The refractive index of glass is
  1. 1.50
  2. 1.40
  3. 1.45
  4. 1.55

Solution

Let $\mathrm{x}$ be the real depth from first surface $10=\frac{\mathrm{x}}{\mu}$ When viewed from opposite face $6=\frac{24-x}{\mu}$ By solving, $\mu=1.5$

Asked in: MHT CET 2021 (21 Sep Shift 1)

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