In the figure below a ray of light travelling in a medium of refractive index $\mu$ passes through two different rectangular blocks of refractive indices ${\mu }_1$ and ${\mu }_2({\mu }_2>{\mu }_1)$.
The angle of incidence ${\theta }_1$ is increased slightly. Then the angle ${\theta }_2$

Q. 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 ${}^{\prime }{e}^{\prime }$ enters the rectangular block at normal incidence. Depending upon the relationship between ${\mu }_1,{\mu }_2$ and ${\mu }_3,$ it takes one of the four possible paths ${}^{\prime }e{f}^{\prime }{,}^{\prime }e{g}^{\prime }{,}^{\prime }e{h}^{\prime }$ or ${}^{\prime }e{i}^{\prime }$.


Match the paths in $\text{List -I}$ with conditions of refractive indices in $\text{List -II}$ and choose the correct answer.
List - I List - II

$\text{(P)}e\to f$	$\left(1\right){\mu }_1>\sqrt{2}{\mu }_2$
$\text{(Q)}e\to g$	$\left(2\right){\mu }_2>{\mu }_1\&{\mu }_2>{\mu }_3$
$\text{(R)}e\to h$	$\left(3\right){\mu }_1={\mu }_2={\mu }_3$
$\text{(S)}e\to i$	$\left(4\right){\mu }_2<{\mu }_1<\sqrt{2}{\mu }_2\&{\mu }_2>{\mu }_1$

Q. 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:

\(\begin{array}{|l|l|l|l|l|}
\hline
&\text{List I} & &\text{List II}\\\hline
\text{P.} &e \rightarrow f &1. &\mu_1 > \sqrt 2 \mu_2\\\hline
\text{Q.} &e \rightarrow g &2. &\mu_2 > \mu_1~\text{and}~\mu_2 > \mu_3\\\hline
\text{R.} &e \rightarrow h &3. &\mu_1 = \mu_2\\\hline
\text{S.} &e \rightarrow i &4. &\mu_2 < \mu_1 \sqrt 2 \mu_2~\text{and}~\mu_2 > \mu_3\\\hline
\end{array}\)

Codes:
\(\begin{array}{|l|l|l|l|l|}
\hline
&\text{P} &\text{Q} &\text{R} &\text{S}\\\hline
\text{(A)} &2 &3 &1 &4\\\hline
\text{(B)} &1 &2 &4 &3\\\hline
\text{(C)} &4 &1 &2 &3\\\hline
\text{(D)} &2 &3 &4 &1\\\hline
\end{array}\)

Q. A ray of light, travelling in a medium of refractive index $\mu$, is incident at an angle $i$ on a composite transparent plate consisting of three plates of refractive indices ${\mu }_1,{\mu }_2$ and ${\mu }_3$. The ray emerges from the composite plate into a medium of refractive index ${\mu }^{,}$, at angle $x$, Then

Q. In the figure below, PQRS denotes the path followed by a ray of light as it travels through three media in succession. The absolute refractive indices of the media are ${\mu }_1,{\mu }_{2}and{\mu }_3$ respectively. (The line segment $R{S}^1$, in the figure is parallel to PQ). Then

Q. 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: