Reflection of Light

The reflection surface of a plane mirror is vertical. A particle is projected in a vertical plane which is also perpendicular to the mirror. The initial velocity of the particle is 10 m/s and the angle of projection is 60^o. The point of projection is at a distance 5 m from the mirror. The particle moves towards the mirror. Just before the particle touches the mirror the velocity of approach of the particle and its image is:

A plane mirror of circular shape with radius $r=20 \mathrm{cm}$ is fixed to the ceiling. A bulb is to be placed on the axis of the mirror. A circular area of the radius $R=1 \mathrm{m}$ on the floor is to be illuminated after reflection of light from the mirror. The height of the room is $3 \mathrm{m}$. What is the maximum distance from the centre of the mirror and the bulb so that the required area is illuminated?

When one light ray is reflected from a plane mirror with $30°$ angle of reflection, the angle of deviation of the ray after reflection is:

Two vertical parallel mirrors $\mathrm{A}$ and $\mathrm{B}$ are separated by $10$ cm. $\mathrm{A}$ point object $\mathrm{O}$ is placed at a distance of $2 \mathrm{cm}$ from mirror $\mathrm{A}.$ The distance of the second nearest image behind mirror $\mathrm{A}$ from the mirror $\mathrm{A}$ is $\_\_\_\_\_\_\_ \mathrm{cm}.$

An object is placed at a distance of $12 \mathrm{cm}$ in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by $4 \mathrm{cm}$ towards the stationary object. The distance by which the position of image would be shifted, will be

A ray of light is incident on a plane mirror as shown in the figure. Find the deviation of the ray (in degree and clockwise direction).

In the given diagram, find the distance (in cm) between 2nd and 3rd image formed on the left side of mirror A.

Two plane mirrors are inclined at an angle $\theta$. A ray of light is incident on one mirror at an angle of incidence$i.$ The ray is reflected from this mirror, falls on the second mirror from where it is reflected parallel to the first mirror. What is the value of$i,$ the angle of incidence in terms of $\theta$ ?

 A ray of light is sent along the line which passes through the point$(2, 3)$. The ray is reflected from the point $P$ on $x$-axis. If the reflected ray passes through the point $(6, 4)$, then the co-ordinates of $P$ are

Find the angle of deviation (both clockwise and anti clock wise) suffered by a ray incident on a plane mirror, (as shown in figure) at an angle of incidence $30°$. 

If a plane mirror is rotated in its own plane through an angle of $20°$ keeping the incident ray direction fixed, then the angle through which the reflected ray turns is

Each of these diagrams is supposed to show two different rays being reflected from the same point on the same mirror. Which option is correct :-

A child is standing in front of a straight plane mirror. His father is standing behind him, as shown in the figure. The height of the father is double the height of the child. What is the minimum length of the mirror required so that the child can completely see his own image and his father's image in the mirror? Given the height of the father is $2H$.

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A plane mirror $OA$ of length $2 \mathrm{m}$ is kept along the line $y=-x$ as shown in the figure. An insect having velocity of $4 \hat{\mathrm{i}} \mathrm{cm} {\mathrm{s}}^{-1}$ is moving along the $x$-axis from far away. The time span for which the insect can see its image is

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The mirrors are perpendicular to each other as shown in figure. A light ray $AB$ is incident on the mirror $M_1$. Then the reflected ray will also suffer a reflection from the mirror $M_2$. Then the final ray after reflection from $M_2$ will be parallel to the incident ray if:

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Consider a glass slab which is silvered at one side and the other side is transparent. Given the refractive index of the glass slab to be $1.5$. If a ray of light is incident at an angle of $45°$ on the transparent side, the deviation of the ray of light from its initial path, when it comes out of the slab is

A small plane mirror is placed at the centre of a spherical screen of radius $R$. A beam of light is falling on the mirror. If the mirror makes $n$ revolutions per second, the speed of light on the screen after reflection from the mirror will be

Two mirrors are kept inclined to each other at an angle $50°$. Then the net deviation produced by the two mirrors for the shown condition:

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Person A is standing at a distance of $10 \mathrm{cm}$ from a plane mirror. Another person B is standing at a distance of $5 \mathrm{cm}$ from A and at a distance of $15 \mathrm{cm}$ from the mirror. Find the distance between person A and the image of person B.

A light ray is incident, at an incident angle ${\theta }_1$, on the system of two plane mirrors $M_1$ and $M_2$ having an inclination angle $75°$ between them (as shown in figure). After reflecting from mirror $M_1$ it gets reflected back by the mirror $M_2$ with an angle of reflection $30°$. The total deviation of the ray will be _____ degree.