Mirrors at an angle

Q. A plane mirror makes an angle of ${30}^{\circ }$ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected rayA plane mirror makes an angle of ${30}^{\circ }$ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected ray

1. ${30}^{\circ }$
2. ${45}^{\circ }$
3. ${60}^{\circ }$
4. ${90}^{\circ }$

Q. Paragraph : Two plane mirrors kept at an angle ${90}^{\circ }$, as shown in the figure. It is obvious that $M_1$ will form an image of point object O, and $M_2$ will form an image of it. But in practical scenario, a third image is also seen.


The third image formed is :

1. The image of $I_1$, in $M_2$.
   
2. The image of $I_2$, in $M_1$.
3. The image of $I_1$, in $M_1$.
4. The image of $I_2$, in $M_2$.

Q. What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${120}^{\circ }$
4. ${175}^{\circ }$

Q. Calculate the number of images formed by two plane mirrors kept at an angle of ${30}^{\circ },{72}^{\circ }and{90}^{\circ }$ respectively. (Assume the object is placed symmetrically with respect to both the mirrors in all the three cases)

1. 11, 5 & 4
2. 11, 4 & 5
3. 12, 4 & 4
4. 11, 4 & 3

Q.

A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed [AFMC 2002]

1. 5
2. 6
3. 7
4. 8

Q. Two plane mirrors are arranged at right angles to each other as shown in figure. A ray of light is incident on the horizontal mirror at an angle $\theta$ . For what value of $\theta$ the ray emerges parallel to the incoming ray after reflection from the vertical mirror?

1. ${60}^{\circ }$
2. ${30}^{\circ }$
3. ${45}^{\circ }$
4. All of these

Q.

Two mirrors are kept at an angle ${60}^{\circ }$ between them as shown in the fig. A ray of light strikes the first mirror and after reflection strikes the second mirror. If the final reflected ray goes parallel to the first mirror, calculate the angle of incidence.

1. ${10}^{\circ }$

2. ${20}^{\circ }$

3. ${30}^{\circ }$

4. ${40}^{\circ }$

Q.

A light bulb is placed between two plane mirrors inclined at an angle of The number of images formed are

SCRA 1994; AIIMS 1997; RPMT 1999; AIEEE 2002;

Orissa JEE 2003; MP PMT 2004; MP PET 2004]

1. 6
2. 2
3. 5
4. 4

Q.

What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other [KCET 1994; SCRA 1994]

1. 
2. 

3. 

4. 

Q. If an incident ray is directed towards a corner reflector as shown, at what angle$\left(\theta \right)$ does the reflected ray emerge?

1. ${22}^{\circ }$
2. ${68}^{\circ }$
3. ${44}^{\circ }$
4. ${46}^{\circ }$

Q. A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of ${300}^{\circ }$. The number of images observable are

1. 10
2. 11
3. 12
4. 13

Q.

Two vertical plane mirrors are inclined at an angle of with each other.

A ray of light travelling horizontally is reflected first from one mirror and then

from the other. The resultant deviation is

1. 
2. 
3. 
4. 

Q. Two plane mirrors are placed at an angle of ${120}^{\circ }$ and a man combing his hair is standing at an asymmetric position. How many images will he see?

1. $2$
2. $3$
3. $4$
4. $5$

Q. A ray reflected successively from two plane mirrors inclined at a certain angle undergoes a deviation of ${300}^{\circ }$. The number of images observable are

1. 10
2. 11
3. 12
4. 13

Q.

A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed [AFMC 2002]

1. 5
2. 6
3. 7
4. 8