A ray of light is incident normally on a glass slab of thickness $5 \mathrm{~cm}$ and refractive index 1.6.…

A ray of light is incident normally on a glass slab of thickness $5 \mathrm{~cm}$ and refractive index 1.6. The time taken to travel by a ray from source to surface of slab is same as to travel through glass slab. The distance of source from the surface is
  1. 12 cm
  2. 24 cm
  3. 5 cm
  4. 8 cm

Solution

Speed of light in a maternal of index $\mu$ is $\left(\frac{C}{\mu}\right)$ Given: $\mathrm{t}_{\mathrm{SA}}=\mathrm{t}_{\mathrm{SB}}$ $\begin{aligned} & \mathrm{t}_{\mathrm{SA}}=\frac{\mathrm{d}}{\mathrm{c}}=\frac{1}{\left(\frac{\mathrm{C}}{\mu}\right)} \\ & \Rightarrow \mathrm{d}=\mu \mathrm{l}=1.6 \times 5 \mathrm{~cm}=8 \mathrm{~cm} \end{aligned}$

Asked in: MHT CET 2022 (08 Aug Shift 2)

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