Some Consequences of the Refraction of Light

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

A tank is filled with water to a height of $16 \mathrm{cm}$. Find the apparent depth of a needle lying at the bottom of the tank is measured by a microscope. Refractive index of water $\left({\mu }_w\right)$ is $\frac{4}{3}$.

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

Difference between optically denser medium and optically rarer medium.

State two examples of phenomenon of refraction of light in everyday life situations.

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

How is apparent depth and real depth related to refractive index?

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 $1.33$)

${}^{air}\mu _{water}$ 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 $B?$

A transparent cube $(\mu =1.5)$ of $15 \mathrm{cm}$ edge contains a small air bubble. Its apparent depth when viewed through one face is $6 \mathrm{cm}$ then when it viewed from the opposite face the respective apparent depth is

$AB$ is an object dipped in water at a depth of $d.$ Its length is $\ell .$ It is seen from air at near normal incidence. The length of the image is :-

Light enters from vacuum to a medium of refractive index $\mu$. If angle of incidence is double of angle of refraction, find angle of refraction :-

A bird in air looks at fish vertically below it and inside water in a tank. If the distances of the fish as estimated by the bird is $h_1$ and that of bird as estimated by the fish is $h_2,$ then the refractive index of liquid is :-

A vessel is half filled with a liquid of refractive index $\mu$. The other half of the vessel is filled with an immiscible liquid of refractive index $1.5 \mu$. The apparent depth of vessel is $50\%$of the actual depth. The value of $\mu$ is

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

A tank is filled with water of refractive index $1.33$ to a height of $12.5 \mathrm{c}\mathrm{m}$. The apparent depth of a needle lying at the bottom of this tank is measured by a microscope to be $9.4 \mathrm{cm}$. If water is replaced with liquid of refractive index $1.63$ that is filled up to the same height. What distance would the microscope have to be moved to focus on the needle again?

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]