Total internal reflection

A ray of light is incident from a denser to a rarer medium. The critical angle for total internal reflection is $\theta_{iC}$ and the Brewster's angle of incidence is $\theta_{iB}$, such that $\sin\theta_{iC}/\sin\theta_{iB}=\eta=1.28$. The relative refractive index of the two media is :

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:

A light ray traveling in glass medium is incident on glass-air interface at an angle of incidence $\theta$. The reflected (R) and transmitted (T) intensities, both as function of $\theta$, are plotted. The correct sketch is

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60° (see figure). If the refractive index of the material of the prism is $\sqrt3$, which of the following is (are) correct?

A large glass slab ($\mu=5/3$) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius $R$ cm. What is the value of $R$?

A light beam is traveling from Region I to Region IV (Refer Figure). The refractive index in Regions I, II, III and IV are $n_0$, $\frac{n_0}2$, $\frac{n_0}6$ and $\frac{n_0}8$, respectively. The angle of incidence $\theta$ for which the beam just misses entering Region IV is