Total Internal Reflection and Critical Angle

A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelength are 1.39, 1.44 and 1.47 respectively. The prism will

A ray of light traveling in a denser medium strikes the boundary of a rarer medium and gets partially reflected and refracted. The angle of reflection is $r$ and that of refraction is $r^{\text{'}}$. If the reflected and refracted rays make an angle of $90°$ with each other, then the critical angle for the pair of media is

Two glass blocks of triangular cross section$(n=1.5)$ are used to make a periscope. Which of the following is the correct arrangement?

A small source of light is 4 m below the surface of a liquid of refractive index 5/3. In order to cut off all the light coming out of liquid surface, minimum diameter of the disc placed on the surface of liquid is

In the figure ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. the value of θ so that light incident normally on the face AB does not cross the face BC is (given sin^-1 (3/5) = 37^o)

A rod made of glass $(\mu =1.5)$ and of the square cross-section is bent into the shape shown in the figure. A parallel beam of light falls perpendicularly on the plane flat surface $A$. Referring to the diagram, $d$ is the width of a side & $R$ is the radius of the inner semicircle. Find the maximum value of ratio $\frac{d}{R}$ so that, all light entering the glass through surface $A$ emerge from the glass through surface $B$. 

A room contains air in which the speed of sound is $340 \mathrm{m} {\mathrm{s}}^{-1}$. The walls of the room are made of concrete in which the speed of sound is $1700 \mathrm{m} {\mathrm{s}}^{-1}$. (a) Find the critical angle for total internal reflection of sound at the concrete - air boundary. (b) In which medium must the sound be travelling to undergo total internal reflection?

A ray of light from a denser medium strikes a rarer medium at an angle of incidence $i$ (see figure). The reflected and refracted rays make an angle of $90°$ with each other. The angles of reflection and refraction are  $r$ and $r^{\text{'}}$  The critical angle is

What is the maximum angle of incidence $\text{'}i\text{'}$ for which total internal reflection take place inside the pipe as shown in the figure?

Light travels a distance$x$in time$t_1$ in air and $10x$ in time $t_2$ in another denser medium. What is the critical angle for this medium?

The critical angle for a denser-rarer interface is $45°$. The speed of light in rarer medium is $3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. The speed of light in the denser medium is:

If light is passing through a medium of critical angle ${45}^o$, then the wave speed will be

Light travelling through three transparent substances follows the path shown in figure. Arrange the indices of refraction in order from smallest to largest. Note that total internal reflection does 

Critical angle of light passing from glass to air is minimum for light with wavelength

Light is incident from medium with refractive index $\sqrt{2}$ on medium with refractive index $1$. For what angle of incidence the angle of refraction is $90°$?

A ray is incident from a medium of refractive index $2$ into a medium of refractive index $1$. The critical angle is

A light source is placed in liquid at a depth of $1 \mathrm{m}$ as shown in figure. The light rays come out from the liquid surface and make a circular patch on the surface. Find the radius of that circular patch.

A ray of light is incident normally on one refracting surface of an equilateral prism.If the refractive index of the material of the prism is $1.5$, then