A ray of light is incident at an angle of incidence 'i' on one surface of a thin prism of small angle 'A'.…

A ray of light is incident at an angle of incidence 'i' on one surface of a thin prism of small angle 'A'. The ray emerges normally from the opposite surface. If the refractive index of the material of the prism is ' $\mu$ ', the angle of incidence 'i' is nearly equal to
  1. $\underline{A}$
  2. $\frac{\mu A}{2}$
  3. $\mu A$
  4. $\frac{A}{2 \mu}$

Solution

$\mu=\frac{\sin \mathrm{i}}{\sin \mathrm{r}}=\frac{\mathrm{i}}{\mathrm{r}_{1}} \quad$ if angles are small. $A=r_{1}+r_{2}=r_{1}$ since $r_{2}=0$ since the ray emerges normally. $\therefore \mu=\frac{i}{A} \quad$ or $\quad i=\mu A$

Asked in: MHT CET 2020 (14 Oct Shift 2)

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