Image of Point Object in Plane Mirror

Q. When a beam of light is incident on a plane mirror, it is found that a real image is formed. The incident light beam must be

1. Converging
2. Diverging
3. Parallel
4. Formation of real image by plane mirror is not possible.

Q. The image of a real object in a plane mirror is always virtual.

1. True
2. False

Q. An object is moving vertically upward at speed of $V$ as shown in figure. Velocity of image from mirror inclined at angle of ${37}^{\circ }$ from horizontal is

1. ($\frac{24}{25}\hat{i}+\frac{7}{25}\hat{j}$)V
2. ($\frac{7}{25}\hat{i}-\frac{24}{25}\hat{j}$)V
3. ($\frac{7}{25}\hat{i}+\frac{24}{25}\hat{j}$)V
4. ($\frac{24}{25}\hat{i}-\frac{7}{25}\hat{j}$)V

Q. A moth is at a distance of $10cm$ in front of a plane mirror. An observer is standing at a distance of $30cm$ in front of the mirror. Calculate the distance between the observer and the position of the moth's image.

1. $30cm$
2. $50cm$
3. $10cm$
4. $40cm$

Q. A plane mirror is inclined at an angle of ${45}^{\circ }$ with the horizontal and having one of its end at the origin(O) as shown in figure. An object is kept at $x=-2\text{cm}$. The position coordinates of the image of $P$ will be

1. $(+2,0)\text{cm}$
2. $(0,+2)\text{cm}$
3. $(0,0)\text{cm}$
4. $(0,-2)\text{cm}$

Q. Column I represents the angle at which two mirrors are inclined and column II represents number of images formed in the arrangement. Select the option that correctly matches the number of images formed with the arrangement for an object placed asymmetrical from the mirrors.

Column I	Column II
$\left(a\right)\theta ={60}^{\circ }$	$\left(1\right)n=1$
$\left(b\right)\theta ={40}^{\circ }$	$\left(2\right)n=3$
$\left(c\right)\theta ={90}^{\circ }$	$\left(3\right)n=5$
$\left(d\right)\theta ={180}^{\circ }$	$\left(4\right)n=9$

1. $\left(a\right)\to \left(3\right),\left(b\right)\to \left(4\right),\left(c\right)\to \left(2\right),\left(d\right)\to \left(1\right)$
2. $\left(a\right)\to \left(2\right),\left(b\right)\to \left(3\right),\left(c\right)\to \left(1\right),\left(d\right)\to \left(4\right)$
3. $\left(a\right)\to \left(3\right),\left(b\right)\to \left(4\right),\left(c\right)\to \left(1\right),\left(d\right)\to \left(2\right)$
4. $\left(a\right)\to \left(2\right),\left(b\right)\to \left(3\right),\left(c\right)\to \left(4\right),\left(d\right)\to \left(1\right)$

Q. Two mirrors are inclined at an angle of ${30}^{\circ }$. An object is placed making an angle of ${10}^{\circ }$ with mirror $M_1$. The position of the second image formed by mirrors $M_1$ and $M_2$ with respect to mirrors $M_1$ and $M_2$ respectively will be

1. ${50}^{\circ }$ from $M_1$ and ${40}^{\circ }$ from $M_2$
2. ${30}^{\circ }$ from $M_1$ and ${20}^{\circ }$ from $M_2$
3. ${70}^{\circ }$ from $M_1$ and ${40}^{\circ }$ from $M_2$
4. ${10}^{\circ }$ from $M_1$ and ${80}^{\circ }$ from $M_2$

Q. Two plane mirrors are placed perpendicular to each other and a point object $P$ is placed equidistant from both the mirrors. Find the equation of the geometerical shape at which the images of the object will lie.

1. $x^2+y^2=2$
2. $y=x$
3. $x+y=2$
4. $x^2+y^2=8$

Q. Column I represents the angle at which two mirrors are inclined and column II represents number of images formed in the arrangement. Select the option that correctly matches the number of images formed with the arrangement for an object placed asymmetrical from the mirrors.

Column I	Column II
$\left(a\right)\theta ={60}^{\circ }$	$\left(1\right)n=1$
$\left(b\right)\theta ={40}^{\circ }$	$\left(2\right)n=3$
$\left(c\right)\theta ={90}^{\circ }$	$\left(3\right)n=5$
$\left(d\right)\theta ={180}^{\circ }$	$\left(4\right)n=9$

1. $\left(a\right)\to \left(3\right),\left(b\right)\to \left(4\right),\left(c\right)\to \left(2\right),\left(d\right)\to \left(1\right)$
2. $\left(a\right)\to \left(2\right),\left(b\right)\to \left(3\right),\left(c\right)\to \left(1\right),\left(d\right)\to \left(4\right)$
3. $\left(a\right)\to \left(3\right),\left(b\right)\to \left(4\right),\left(c\right)\to \left(1\right),\left(d\right)\to \left(2\right)$
4. $\left(a\right)\to \left(2\right),\left(b\right)\to \left(3\right),\left(c\right)\to \left(4\right),\left(d\right)\to \left(1\right)$

Q. When a beam of light is incident on a plane mirror, it is found that a real image is formed. The incident light beam must be

1. Converging
2. Diverging
3. Parallel
4. Formation of real image by plane mirror is not possible.

Q.

If the image of a stone placed infront of a mirror is seen by the observer 1 at position C, then where will the observer 2 see the image?

1. At 'C'

2. At 'D'

3. At 'E'

4. At 'B'

Q.

A point source of light B is 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 themirror along a line parallel to the mirror at a distance 2L from it as shown. The greatest distance over which he can see the image of the light source in the mirror is

[IIT-JEE (Screening) 2000]

1. d/2

2. d

3. 2d

4. 3d

Q. If two mirros are kept at an angle, and an object is placed infront of them, then number of images formed by the mirrors is always finite.

1. False
2. True

Q. An insect is travelling in between the two inclined mirrors as shown in the figure. The number of images formed of the insect by the mirrors are

1. $4$
2. $5$
3. $6$
4. $7$

Q. You are trying to study the flight ofhumming birds. For this, you make a setup such that you look through a camera at the image of a humming tree in a plane mirror. The camera is 4.30 m in front of the mirror. The bird is at camera level, 5.00 m to your right and 3.30 m from the mirror. How far will you see the image of the bird in the mirror? Refer to the diagram below. (Also, assume your eye is very very close to the camera)

1. 3.30 m
2. 7.60 m
3. 4.60 m
4. 9.10 m