Two mirrors labelled L1 for left mirror and L2 for right mirror in the figure are parallel to each other and 30m apart A person is standing 10mfrom the right mirror L2looks into this mirror and sees a series of images At what distance will the second near (2025)

A man is $160\mathrm{cm}$ tall and his eyes are $15\mathrm{cm}$ below the top of his head. In order to see his entire height, right from the top to head, he uses a plane mirror kept at a distance of $1\mathrm{m}$ from him. The minimum length of the plane mirror required is

Letters $A,B,C$ and $D$ are written on a cardboard as shown in the figure below.

The cardboard is kept at a suitable distance behind a transparent empty glass of cylindrical shape. If the glass is now filled with water, one sees an inverted image of the pattern on the cardboard when looking through the glass. Ignoring magnification effects, the image would appear as

A girl is standing $7\mathrm{m}$ from a plane mirror. The distance of the girl from her image in the mirror is

Focal length, radius of curvature and power of a plane mirror respectively are

A ray deviates at $90°$ after suffering reflection from a mirror. The angle of incidence is

Two plane mirrors are inclined to each other at an angle of $60°.$ A point object is placed in between them. The total number of images produced by both the mirrors is

A ray of light is reflected by a plane mirror. ${\hat{e}}_0,\hat{e}$ and $\hat{n}$ be the unit vectors along the incident ray, reflected ray and the normal to the reflecting surface respectively. Which of the following gives an expression for $\hat{e}?$

A beam of light from a source $L$ is incident normally on a plane mirror fixed at a certain distance $x$ from the source. The beam is reflected back as a spot on a scale placed just above the source $L$. When the mirror is rotated through a small angle $\theta$, the spot of the light is found to move through a distance $y$ on the scale. The angle $\theta$ is given by

A point source is placed at coordinates $(0,1)$ in $xy$ -plane. A ray of light from the source is reflected on a plane mirror placed along the$X$-axis and perpendicular to the $xy$ -plane. The reflected ray passes through the point $(3,3).$ What is the path length of the ray from $(0,1)$ to $(3,3)$$?$

Two plane mirrors $M_1$ and $M_2$ are at right angle to each other shown. A point source $P$ is placed at $a$ and $2a$ meter away from $M_1$ and $M_2$ respectively. The shortest distance between the images thus formed is : (Take $\sqrt{5}=2.3$)

A flat mirror revolves at a constant angular velocity making $n=0.4$ revolutions per second. With what velocity (in$\mathrm{m}{\mathrm{s}}^{-1}$)will a light spot move along a spherical screen with a radius of $15\mathrm{m}$, if the mirror is at the centre of curvature of the screen?

A point source of light $S$, placed at a distance $60\mathrm{cm}$ infront of the centre of a plane mirror of width $50\mathrm{cm}$, hangs vertically on a wall. A man walks infront of the mirror along a line parallel to the mirror at a distance $1.2\mathrm{m}$from it (see in the figure). The distance between the extreme points where he can see the image of the light source in the mirror is__$\mathrm{cm}$

What is the minimum size of mirror required for a $6\mathrm{ft}$ tall person to be able to see a full length image?

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror $\left(M_1\right)$ and parallel to the second mirror $\left(M_2\right)$ is finally reflected from the second mirror $\left(M_2\right)$ and parallel to the first mirror $\left(M_1\right).$ The angle between the two mirrors will be:

A monochromatic beam of light enters a square enclosure with mirrored interior surfaces at an angle of incidence ${\theta }_i=(\ne 0)$ (see the figure below). For some value(s) of ${\theta }_i$, the beam is reflected by every mirrored wall (other than the one with opening) exactly once and exists the enclosure through the same hole. Which of the following statements about this beam is correct?

The image of an object$O$ due to reflection from the surface of a lake is elongated due to the ripples on the water surface caused by a light breeze. This is because the ripples act as tilted mirrors as shown below. Consider the case, where$O$ and the observer$E$ are at the same height above the surface of the lake. If the maximum angle that the ripples make with the horizontal is $\alpha$, then the angular extent $\delta$ of the image will be

Two plane mirrors are kept on a horizontal table making an angle $\theta$ with each other as shown schematically in the figure. The angle $\theta$ is such that any ray of light reflected after striking both the mirrors return parallel to its incident path. For this to happen, the value of $\theta$ should be

A ray of light, travelling in the direction$\frac{1}{2}\left(\hat{\mathrm{i}}+\sqrt{3}\hat{\mathrm{j}}\right)$, is incident on a plane mirror. After reflection, it travels along the direction $\frac{1}{2}\left(\hat{\mathrm{i}}-\sqrt{3}\hat{\mathrm{j}}\right)$.The angle of incidence is