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 ray

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

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. Two vertical plane mirrors are inclined at an angle of ${60}^{\circ }$ 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. ${180}^{\circ }$
2. ${60}^{\circ }$
3. ${240}^{\circ }$
4. ${120}^{\circ }$

Q.

A particle is dropped along the axis from a height $\frac{f}{2}$ on a concave mirror of focal length f as shown in the figure. The acceleration due to gravity is g . What is the maximum speed of the image.

1. $\frac{3}{8}\sqrt{2fg}$

2. $\frac{1}{2}\sqrt{2fg}$

3. $\sqrt{fg}$

4. $\frac{3}{4}\sqrt{3fg}$

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 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. $4$
3. $5$
4. $3$

Q. Figure shows a plane mirror onto which a light ray is incident. If the incident light ray is turned by ${10}^{\circ }$ and the mirror by ${20}^{\circ }$ as shown, then the angle turned by the reflected ray is

1. ${30}^{\circ }$ anticlock wise
2. ${30}^{\circ }$ clockwise
3. ${50}^{\circ }$ clockwise
4. ${50}^{\circ }$ anticlock wise

Q. A ray of light incident on the first mirror parallel to the second and is reflected from the second mirror parallel to first mirror. The angle between two mirrors is

1. ${30}^{\circ }$
2. ${90}^{\circ }$
3. ${60}^{\circ }$
4. ${75}^{\circ }$

Q. A light bulb is placed between two plane mirrors inclined at an angle of ${60}^{\circ }$ .The number of images formed are

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

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. Paragraph : Two plane mirrors are 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 also form an image of it. But a third image is also seen.


The rays after reflection from $M_1$, fall onto $M_2$.This means which of the following :

1. The image formed in $M_1$ behaves as the object for $M_2$.
2. The image formed in $M_1$ doesn't behave as the object for $M_2$.
   
3. $M_2$ will form infinite number of images for the object O.
4. $M_2$ can't form an image of object O, in absence of $M_1$.

Q. If an incident ray 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. 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. All of these
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${45}^{\circ }$

Q.

Two plane mirrors are inclined at angle $\theta$ if any ray incident on one mirror becomes anti-parallel after reflection from the other mirror then the angle $\theta$ can be

1. less than ${90}^{\circ }$

2. ${90}^{\circ }$

3. more than ${90}^{\circ }$

4. Cannot be determined

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.

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. ${20}^{\circ }$

2. ${10}^{\circ }$

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

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

Q. Two mirrors are inclined at an angle $\theta$. For an object placed in front of them, $11$ images are noticed. Find the angle between the mirrors.

1. ${30}^{\circ }$
2. ${32.8}^{\circ }$
3. ${16.4}^{\circ }$
4. ${15}^{\circ }$

Q.

A ray is reflected in turn by three plain mirrors mutually at right angles to each other. The angle between the incident and the reflected rays is

1. 
2. 
3. 

4. None of these

Q. Two mirrors are inclined at an angle $\theta$ as shown in the figure. Light ray is incident parallel to one of the mirrors. Light will start retracing its path after third reflection if:

1. $\theta ={45}^o$
2. $\theta ={30}^o$
3. $\theta ={60}^o$
4. $allthree$

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. 5
3. 2
4. 4

Q.

Which of the following produces highly coherent beam of light?

1. Lloyd's mirror

2. Laser

3. Michelson interferometer

4. Biprism

Q. Two plane mirrors $M_1$ and $M_2$ are placed at an angle of ${90}^{\circ }$. A point object is at a distance of $d$ and $l$ from mirrors $M_1$ and $M_2$ respectively. Then

1. Number of images formed are 2
2. Images formed lie on a circle with P as a centre and radius $\sqrt{d^2+l^2}$
3. Number of images formed are more than 2
4. None of these

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. 12
2. 10
3. 11
4. 13

Q. Two plane mirror A and B are oriented perpendicular to each other. A light ray incident at angle $\theta$ on mirror A is also reflected by the mirror B. If the reflected ray from mirror B is parallel to the incident ray on A, such that the ray reflected from the first mirror as the same angle of incidence on the second mirror then find the value of $\theta$.

Q.

A ray is reflected in turn by three plain mirrors mutually at right angles to each other. The angle between the incident and the reflected rays is

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. 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 of light strikes a plane mirror at an angle of incidence ${45}^0$ as shown in figure. After reflection, the ray passes through a prism of refractive index 1.5 whose apex angle is $4^0$. Through what angle in degree must be mirror be rotated if the total deviation of the ray be ${90}^0$ ?

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 ray.

Q. Two vertical plane mirrors are inclined at an angle of ${60}^o$ with each other. A ray of light travelling horizontally is reflected first from one mirror and then from the other mirror. Then the resultant deviation is

1. ${180}^O$
2. ${240}^O$
3. ${60}^O$
4. ${120}^O$