Effects of Refraction

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:

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $12 \mathrm{cm}$. When viewed from the opposite side, the apparent distance of the bubble is observed as $4 \mathrm{cm}$. If the side of the ice cube is $24 \mathrm{cm}$, the refractive index of the ice cube is 

In an ice cube of thickness $24 \mathrm{cm}$, a bubble is trapped as shown in figure. If apparent depths are $12 \mathrm{cm}$ and $4 \mathrm{cm}$ from side 1 and side 2 respectively, then refractive index of ice cube is

The thickness of a plane-convex glass lens in the middle is $1.5 \mathrm{cm}$. Viewing from the flat side the thickness of the lens at the centre will appear (refractive index of glass is $1.5$) to be

An object in a denser medium when viewed from a rarer medium appears to be raised. The shift is maximum for :

The relation between refractive index of a medium, real depth and apparent depth is

A coin kept inside water $\left(\mu =\frac{4}{3}\right)$ when viewed from air in a vertical direction, appears to be raised by $2.0 \mathrm{mm}$. The depth of the coin in water is :

The refractive index $\left(\eta \right)$ of certain material is given by $\eta =\sqrt{1-\frac{\rho }{{\rho }_c}}$ where $\rho$ represents density of the material such that $\rho <{\rho }_c$ and ${\rho }_c$ is a constant. A planar wavefront of light propagating along $z$ direction enters this material from left whereas the density of the material increases in the radial distance $\left(r\right)$ in the plane perpendicular to the propagation axis. Select the wavefront that correctly describes the propagation of light in this medium.

An air bubble in a glass slab ($\mu =1.5$) is 6 cm deep when viewed from one face and 4 cm deep when viewed from the opposite face. The thickness of the glass plate is

The phenomenon that takes place due to the bending of light when it travels from medium to another is known as

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 -

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 :-

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?

The optical density of turpentine is higher than that of water while its mass density is lower. Figure shows a laycr of turpcntine floating over water in a container. For which one of the four rays incident on turpentine in figure, the path. shown is correct

A fish and a bird are moving as shown in figure. Find the velocity of bird as observed by fish.

The apparent depth of needle lying at the bottom of the tank which is filled with water to a height of $15.5 \mathrm{cm}$ is measured by a microscope to be $8.5 \mathrm{c}\mathrm{m}$. If water is replaced by a liquid of refractive index $1.94$ to the same height as earlier, compute the displacement of the microscope needed to establish focus on the needle again.

If light is refracted from a plane surface while passing from a denser medium to rarer medium, then which of the following statements is/are correct about it. [$\mathrm{C}$ is critical angle]

A ray of light passes through four transparent media whose surfaces are parallel to each other with refractive indices ${\mu }_1\text{ , }{\mu }_2\text{ , }{\mu }_3\text{ and }{\mu }_4$ . If the emergent ray,$CD$ is parallel to the incident ray $AB$, then, which of the following relations should be correct?