$A$ right-angled prism of refractive index $\mu_1$ is placed in a rectangular block of refractive index $\mu_2$,which is surrounded by a medium of refractive index $\mu_3$,as shown in the figure. $A$ ray of light 'e' enters the rectangular block at normal incidence. Depending upon the relationships between $\mu_1, \mu_2$ and $\mu_3$,it takes one of the four possible paths '$ef$','$eg$','$eh$' or '$ei$'. Match the paths in List-$I$ with conditions of refractive indices in List-$II$ and select the correct answer using the codes given below the lists:
List-$I$ List-$II$
$P$. $e \rightarrow f$ $1$. $\mu_1 > \sqrt{2} \mu_2$
$Q$. $e \rightarrow g$ $2$. $\mu_2 > \mu_1$ and $\mu_2 > \mu_3$
$R$. $e \rightarrow h$ $3$. $\mu_1 = \mu_2$
$S$. $e \rightarrow i$ $4$. $\mu_2 < \mu_1 < \sqrt{2} \mu_2$ and $\mu_2 > \mu_3$

Codes: $P \quad Q \quad R \quad S$

  • A
    $2 \quad 3 \quad 1 \quad 4$
  • B
    $1 \quad 2 \quad 4 \quad 3$
  • C
    $4 \quad 1 \quad 2 \quad 3$
  • D
    $2 \quad 3 \quad 4 \quad 1$

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