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 $B$. 

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

What is TIR?

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

The critical angle for the total internal reflection of diamond in air is$24°$ . State whether the statement given here is correct or incorrect. Give a reason for your answer.

The sparkle of the diamond increases remarkably when placed in water.

The critical angle for the total internal reflection of diamond in air is $24°$. State whether the statement given here is correct or incorrect. Give a reason for your answer.

The critical angle for total internal reflection of diamond is more than $24°$ when surrounded by water.

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 

Glass mugs are often made with thick sides, so that they appear to hold more than they really do. When filled with say apple juice it appears to extend all the way to the outer surface of the mug. Fig. 1E.69 shows a view from above of the path of a ray from a point $P$ in the juice at the inner surface of the mug. Take refractive index of glass and juice to be $\frac{3}{2}$ and $\frac{4}{3}$ respectively.

$\left(a\right)$ Find $\frac{t}{r}$
$\left(b\right)$ Find the ratio of the apparent volume of juice to the actual volume of juice in the mug.