Parallel Mirrors

Q. Two plane mirrors are parallel to each other and an object $O$ is placed between them. The distance (in $\text{cm}$) of the first three images from the mirror $M_2$ after reflection from the mirror $M_2$ will be

1. $5,10,15$
2. $5,15,30$
3. $5,25,35$
4. $5,15,25$

Q. What is the minimum length of the mirror required to visualised the complete image of the body of a person of height H.

1. $\frac{H}{2}$
2. $\frac{H}{3}$
3. $3H$
4. $Cannotbefound$

Q. Two plane mirrors $\text{A}$ and $\text{B}$ are parallel to each other and spaced $20\text{cm}$ apart. An object is kept between them at $15\text{cm}$ from $\text{A}$. Following are the distances of the image formed by mirror A(from it). Which of the following is not possible?

1. $15\text{cm}$
2. $25\text{cm}$
3. $45\text{cm}$
4. $55\text{cm}$

Q. A plane mirror of length $8\text{cm}$ is moving with a speed of $3\text{m/s}$ towards a wall as shown in the figure. The diametrical length of spot formed on the wall is?
(Assume spot to be circular)

1. $4\text{cm}$
2. $16\text{cm}$
3. $8\text{cm}$
4. $24\text{cm}$

Q. Figure shows two plane mirrors and an object $\text{O}$ placed between them. What will be distance of the first three images from the mirror $M_2$?

1. $2\text{cm}$, $12\text{cm}$, $18\text{cm}$
2. $2\text{cm}$, $8\text{cm}$, $12\text{cm}$
3. $2\text{cm}$, $18\text{cm}$, $22\text{cm}$
4. $2\text{cm}$, $24\text{cm}$, $38\text{cm}$

Q.

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 $\frac{9}{\pi }rps$. The light reflected by the mirror is received on the wall W at a distance 10 m from the axis of rotation. When the angle of incidence becomes ${37}^{\circ }$, the speed of the spot (a point) on the wall is

1. 10 m/s

2. 500 m/s

3. 1000 m/s

4. 20 m/s

Q. Two plane mirrors are inclined at an angle 80 degrees.A ray of light is incident on one of the mirrors.The ray will undergo total deviation o

Q. A point object is placed mid-way between two plane mirrors which are $a$ distance apart. The plane mirrors forms an infinite number of images due to multiple reflections. The distance between the $n^{\text{th}}$ order image (i.e $n^{th}$ image in both the mirrors) formed in the two mirrors is

1. $4na$
2. $6na$
3. $2na$
4. $8na$

Q. A virtual erect image in a concave mirror is represented, in the given figure, by

1. 
2. 
3. 
4. 

Q. In the figure you are in a system of two vertical parallel mirrors A and B separated by distance d. A point object is placed at point O, a distance 0.2d from mirror A. Each mirror produces a first (least deep) image of the object. Then each mirror produces a second image with the object being the first image in the opposite mirror. Then each mirror produces a third image with the object being the second image in the opposite mirror, and so on - you might see hundreds of images. How deep behind mirror A are the first, second, and third images in mirror A?

1. 0.2d, d and 2d
   
2. 0.2d, 1.8d and 2.2d
   
3. 0.2d, 1.6d and 2.2d
   
4. can′t be calculated.
   

Q. Two plane mirrors P and Q are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of $\theta$ at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is

1. None of these
2. $\frac{l}{dtan\theta }$
3. $\frac{d}{ltan\theta }$
4. $ldtan\theta$

Q. Two plane mirrors kept parallel to each other as shown in the diagram. A point object is placed at point A. How many images will get formed in the given situation :

1. Two
2. One
3. Infinite
4. No image will get formed

Q. A point object is placed mid-way between two plane mirrors distance 'a' apart. The plane mirror forms an infinite number of images due to multiple reflection. The distance between the nth order image formed in the two mirrors is

1. $\frac{na}{2}$
2. na
3. 2na
4. $n^{2}a$

Q.

An object 4 cm in size is placed at a distance of 25 cm from a concave mirror of focal length 15 cm. At what distance from the mirror should the screen be kept so that a sharp image of the object can be obtained on screen? Find the nature and height of the image.

Q.

Two plane mirrors. A and B are aligned parallel to each other, as shown in

the figure. A light ray is incident at an angle of 30⁰ at a point just inside one

end of A. The plane of incidence coincides with the plane of the figure. The

maximum number of times the ray undergoes reflections (including the first

one) before it emerges out is

[IIT-JEE (Screening) 2002]

1. 28

2. 30

3. 32

4. 34

Q. The figure shows two parallel plane mirrors. Object ${}^{\prime }{\text{O}}^{\prime }$ is placed $7\text{cm}$ from mirror $M_1$. Then, the distance of the final image from the mirror $M_1$ is

1. $7\text{cm}$
2. $3\text{cm}$
3. $13\text{cm}$
4. $10\text{cm}$

Q. Find the distance between object $\left(O\right)$ and the final image formed after two successive reflections. Take the first reflection on mirror $M_1$ having radius of curvature $20\text{cm}$

1. $10\text{cm}$
2. $25\text{cm}$
3. $30\text{cm}$
4. $35\text{cm}$

Q. 54. Show that if A is greater than A(max)(=2c) then total reflection occurs at second refracting surface PR of the prism for any value of i

Q. Two plane mirrors $A$ and $B$ are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of ${30}^{\circ }$ at a point just at the edge of $A$. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflection (including the first one) before it emerges out is

1. $28$
2. $30$
3. $31$
4. $32$

Q. Which of the following are example of mirror isobars?

1. ${}_1^{1}H\text{and}{}_1^{2}H$
2. ${}_6^{12}C\text{and}{}_6^{13}C$
3. ${}_{11}^{23}Na\text{and}{}_{12}^{23}Mg$
4. ${}_{11}^{23}Na\text{and}{}_{12}^{24}Mg$

Q. 28.A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of 300^° .The number of observable images (A)60 (B)12 (C)11 (D)5

Q. for which of the following angle between two plane mirrors the incident ray and reflected ray from two mirrors are parallel to each other for all angle of incidence

Q. A point object is placed mid-way between two plane mirrors which are $a$ distance apart. The plane mirrors forms an infinite number of images due to multiple reflections. The distance between the $n^{\text{th}}$ order image (i.e $n^{th}$ image in both the mirrors) formed in the two mirrors is

1. $8na$
2. $2na$
3. $4na$
4. $6na$

Q. A man of height 170 cm wants to see his complete image in a plane mirror (while standing). His eyes are at a height of 160 cm from the ground.

1. minimum length of the mirror $=$ 80 cm
2. minimum length of the mirror $=$ 85 cm
3. bottom of the mirror should be at a height 80 cm or more
4. bottom of the mirror should be at a height 85 cm

Q. A point object $P$ is placed at center of curvature of a concave mirror of focal length $25cm$. The mirror is cut into two halves and shifted symmetrically $1cm$ apart in perpendicular to the optical axis. The distance between images formed by both parts is:

1. $4cm$
2. $3cm$
3. $1cm$
4. $2cm$

Q. In List 1, the nature of light is given and in List 2 the information about the photons are mentioned. Match the entries of List 1 with correct entries in List 2.

$\begin{array}{cccc}& \text{List-1}& & \text{List-2}\\ \text{I}& \text{A bichromatic light source}& \text{P}& \text{Some photons have same energy and momenta}\\ \text{II}& \text{A point source of white light emitting light uniformly in all directions}& \text{Q}& \text{Some photons have different energy and different momenta}\\ \text{III}& \text{A point source of monochromatic light emitting light uniformly in all directions}& \text{R}& \text{Some photons have same energy and different momenta}\\ \text{IV}& \text{Laser light source}& \text{S}& \text{Some photons have different energy and same momenta}\end{array}$

1. I $\to$ P, Q, R; II $\to$ P, Q, R, S; III $\to$ P, R; IV $\to$ P
2. I $\to$ P, Q, R, S; II $\to$ Q, R, S; III $\to$ P, R; IV $\to$ P, Q
3. I $\to$ P, Q, R; II $\to$ Q, R, S; III $\to$ P, R; IV $\to$ P
4. I $\to$ P, Q, R, S; II $\to$ P, Q, R, S; III $\to$ P, R; IV $\to$ P

Q. Two plane mirrors are inclined at an angle of 80 .A ray of loght is incident on one of the mirrors.the ray will undergo total deviation

Q. A point object is placed mid-way between two plane mirrors distance 'a' apart. The plane mirror forms an infinite number of images due to multiple reflection. The distance between the nth order image formed in the two mirrors is

1. na
2. 2na
3. $\frac{na}{2}$
4. $n^{2}a$

Q. Two plane mirrors P and Q are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of $\theta$ at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is

1. $\frac{l}{dtan\theta }$
2. $\frac{d}{ltan\theta }$
3. $ldtan\theta$
4. None of these

Q. Two plane mirrors P and Q are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of $\theta$ at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is

1. $\frac{l}{dtan\theta }$
2. $\frac{d}{ltan\theta }$
3. $ldtan\theta$
4. None of these