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 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

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

In an optical fibre, core and cladding were made with materials of refractive indices $1.5$ and $1.414$ respectively. To observe total internal reflection, what will be the range of incident angle with the axis of optical fibre?

A ray of light enters a diamond symmetrical shape $\left(n=2\right)$ from air and is being internally reflected near the bottom as shown in the figure. Find maximum value of angle $\theta$ for which this is possible

The best quality optical fibres are made of :

A ray of light travelling along a vector $2\hat{\mathrm{i}}+4\hat{\mathrm{j}}+\sqrt{5}\hat{\mathrm{k}}$ hits a boundary of two mediums, along $x-y$ plane. If the angle of refraction of the light is $90°$, then what is the refractive index of the second medium? Given: refractive indice of the first medium ${\mu }_1=\sqrt{3}$.

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



The prism will:

A transparent cube of side $d$, made of a material of refractive index ${\mu }_2$, is immersed in a liquid of refractive index ${\mu }_1 ( {\mu }_1<{\mu }_2)$. A ray is an incident on the face $AB$ at an angle $\theta$ (shown in the figure). Total internal reflection takes place at the point $E$ on the face $BC\mathit{.}$



Then, $\theta$ must satisfy