Total Internal Reflection and Its Applications

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 point source of light is placed at a distance h below the surface of a large deep lake. What is the percentage of light energy that escapes directly from the water surface is μ of the water = 4/3? (neglect partial reflection)

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?

An optical fibre is based on:

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

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?

A glass rod of rectangular cross-section is bent into the shape shown in the diagram. A parallel beam of light falls perpendicularly on the flat surface $A$. Determine the minimum value of the ratio $\frac{R}{d}$ for which all light entering the glass through surface $A$ will emerge from the glass through surface $B$. The index of refraction of the glass is $1.5$.

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

It is possible to observe total internal reflection,when a ray travels from :

A ray of light travelling in a transparent medium of refractive index $\mathit{\mu }\mathit{,}$ falls on a surface separating the medium from air at an angle of incidence of $45°.$ For which of the following value of µ the ray can not undergo total internal reflection ?

Light is incident normally on face $AB$ of a prism as shown in the figure. A liquid of refractive index $\mu$ is placed on face $AC$ to the prism. The prism is made of glass of refractive index $3/2.$ The limit of $\mu$ for which total internal reflection takes place on face $AC$ is :-

The critical angle of light going from medium $\mathrm{A}$ to medium $\mathrm{B}$ is $\theta .$ The speed of light in medium A is $\mathrm{v}$. The speed of light in medium $\mathrm{B}$ is :

A right-angled isosceles prism is held on the surface of a liquid composed of miscible solvents $A$ and $B$ of refractive index $n_{\mathrm{A}}=1.50$ and $n_B=1.30,$ respectively. The refractive index of prism is $n_p=1.5$ and that of the liquid is given by $nL$$=C_A{n}_A+\left(1-C_A\right)n_B,$ where $C_A$ is the percentage of solvent $A$ in the liquid:-

If ${\theta }_C$ is the critical angle at prism-liquid interface, the plot which best represents the variation of the critical angle with the percentage of solvent is:

Which of the following is not due to total internal reflection?