Refraction of Light at Plane Surface

A parallel sided block of glass of refractive index $1.5$ which is $3.6 \mathrm{mm}$ thick rests on the floor of a tank which is filled with water (refractive index$=\frac{4}{3}$). The difference between the apparent depth of floor at $A$ and $B$ when seen from vertically above is equal to

A bird is flying 3 m above the surface of water. If the bird is diving vertically down with speed = 6 m/s, his apparent velocity as seen by a stationary fish underwater is:

A point object is placed at a distance of $25 \mathrm{cm}$ from a convex lens of focal length $20 \mathrm{cm}$. If a glass slab of thickness $t$ and refractive index $1.5$ is inserted between the lens and object. The image is formed at infinity. Find the thickness $t$.

A rectangular glass slab $\mathrm{ABCD}$, of refractive index, $n_1,$  is immersed in water of refractive index $n_2(n_1>n_2).$ A ray of light is incident at the surface $\mathrm{AB}$ of the slab, as shown. The maximum value of the angle of incidence ${\alpha }_{\max },$ such that the ray comes out only from the other surface $\mathrm{CD}$, is given by

A diverging beam of light from a point source S  having divergence angle  $\alpha$ , falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is

Consider a ray of light passing through a rectangular slab of refractive index $\mu (\mu >1)$ and thickness $h$ as shown below.

This leads to a parallel shift $d$ in the path of the ray, which varies between $0$ to $d_{\max }$ as $\theta$ varies. How does $d_{\max }$ change with $\mu ?$

When a glass slab is made on a cross made on a sheet, the cross appears raised up by $1 \mathrm{cm}$. Thickness of the glass is $3 cm$. What is the critical angle of the glass?

In a pond of water, a flame is held $2 \mathrm{m}$ above the surface of the water. A fish is at depth of $4 \mathrm{m}$ from the water surface. Refractive index of water is $\frac{4}{3}$. The apparent height of the flame from the eyes of fish is -

Given that, velocity of light in quartz $=1.5\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$ and velocity of light in glycerine $=\left(\frac{9}{4}\right)\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. If a slab made of quartz is placed in glycerine as shown in the figure. How much is the shift (in cm) in the position of the object produced by slab?

               

A water pond appears to be $2.7 \mathrm{m}$ deep. If the refractive index of water is $\frac{4}{3}$. Determine the actual depth of the pond in metre.

A fish seems to be at a depth of $75 \mathrm{cm}$ from the surface. What is the actual distance from the surface in $\mathrm{cm}$? (Refractive index of water is $1.33$)

The _____ displacement of the emergent ray of light is the perpendicular distance between the original direction of the incident ray and the emergent ray coming out of the glass slab.

The angle of deviation produced by the glass slab is

If a ray of light falls perpendicularly on a glass slab, what will be its angle of refraction in degrees? (write in numbers without units)

For a certain parallel-sided glass block, the value of $\frac{\sin i}{\sin r}$ is $1.50$. A ray of light passes through the block and emerges at an angle of $60°$ to the surface of the block. What is the value of the angle marked X?

${}^{air}\mu _{water}$ is equal to the ratio of real depth to the _____.

What should be the angle of incidence at A of the spherical glass placed in air so that so that grazing emergence of light ray takes place at $B?$

Consider the situation shown in figure. Water $\left({\mu }_w=4/3\right)$ is filled in a beaker upto a height of $10 \mathrm{cm}$. A plane mirror is fixed at a height of $5 \mathrm{cm}$ from the surface of water. Distance of image from the mirror after reflection from it of an object $\mathrm{O}$ at the bottom of the beaker is :-

In the figure shown the angle made by the light ray with the normal in the medium of refractive index $\sqrt{2}$ is :-

A tank is filled with water to a height of $12.0 \mathrm{cm}.$ The apparent depth of a coin placed at the bottom is measured by a microscope to be $9.0 \mathrm{cm}.$ What is the refractive index of water? If water is replaced by a liquid of refractive index $2$ up to the same height, then by what distance would the focus of microscope has to be shifted to see the coin again?