Reflection of Light at Plane Mirror

In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. AB is object

A flat mirror $M$ is arranged parallel to the wall $W$ at a distance $l$ from it. The light produced by a point source $\mathrm{S}$ kept on the wall is reflected by the mirror and produces a light spot on the wall. The mirror moves with velocity $v$ towards the wall.

A point source of light $S$ is placed in front of two large mirrors as shown. Which of the following observers will see only one image of $S$?

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:

There are two plane mirror with reflecting surfaces facing each other. The mirrors are moving with speed $v$ away from each other. A point object is placed between the mirrors. The velocity of the $n^{\mathrm{th}}$ image will be

A light ray $I$ is incident on a plane mirror $M$. The mirror is rotated in the direction as shown in the figure by an arrow at frequency  $\frac{9}{\mathrm{\pi }}$ $\mathrm{rev} {\sec }^{-1}$. The light reflected by the mirror is received on the wall $W$ at a distance $10 \mathrm{m}$ from the axis of rotation. When the angle of incidence becomes $37°$ find the speed of the spot (a point) on the wall?

A point source of light $B$ placed at a distance $L$ in front of the centre of a mirror of width $d$ hung vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance $2L$ from it as shown in figure. The greatest distance over which he can see the image of the light source in the mirror is :

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

Man $X$ is standing in front of a plane mirror while man $Y$ is running towards him from behind. If the man $Y$ is running at a speed of$1 \mathrm{m} {\mathrm{s}}^{-1}$, how many metres nearer does the man$Y$seem to be away from man$X$after $5$ seconds?

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

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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An object $O$ is just about to strike a perfectly reflecting inclined plane of inclination $37°$. Its velocity is $5 \mathrm{m} {\mathrm{s}}^{-1}$. Find the velocity of its image.