Tag: formation of image in a plane mirror

Questions Related to formation of image in a plane mirror

Nature of the image formed by a plane mirror is :

  1. virtual and erect

  2. of the same size as the object

  3. laterally inverted

  4. all of these


Correct Option: D

........ image cannot be caught on a screen.

  1. real

  2. inverted

  3. virtual

  4. erect


Correct Option: C
Explanation:

Virtual image cannot be caught on a screen.

A man stands 2 m infront of a plane mirror. The mirror is moved 1 m towards the man while the man moves 50 cm away from the mirror. What is the distance between the images of the man?

  1. $1 m$

  2. $0.5 m$

  3. $2 m$

  4. $3 m$


Correct Option: B
Explanation:

Initial object distance $= 2m$
Final object distance
$=2 m-1 m+0.5 m$
$=2.5 m$
The distance between the images of the man is 0.5 m.

Two plane mirrors are inclined to each other at an angle $\theta$. A ray of light is reflected first at one mirror and then at the other. The total deviation of the ray is

  1. $2\ \theta$

  2. $240^{\circ}-\ 2 \theta$

  3. $360^{\circ}-\ 2\ \theta$

  4. $180^{\circ}-\ \theta$


Correct Option: A

The diameter of the sun subtends an angle of $ 0.5^0 $ at the surface of the earth. A converging lens of focal length 100 cm is used to provide an image of the sun on to a screen.the diameter ( in mm) of the image formed is nearly 

  1. 1

  2. 3

  3. 5

  4. 9


Correct Option: B

In case of image formation by plane mirrors:
(i) object can be real and image virtual
(ii) object can be virtual and image real
(iii) both object and image can be real
(iv) both object and image can be virtual

  1. (i) and (ii)

  2. (i), (ii) and (iv)

  3. (ii) and (iv)

  4. (i), (iii) and (iv)


Correct Option: A

If a plane mirror is fixed and the incident ray is turned by an angle $30$ clockwise direction then 

  1. the reflected ray will turn by $60$ in anti clock wise direction

  2. the reflected ray will turn by $30$ in anti clock wise direction

  3. the change in deviation produced for the reflected ray will be $30$ in anti clock wise direction

  4. the change in deviation produced for the reflected ray will be $60$ in anti clock wise direction


Correct Option: A

If two plane mirrors be kept at an angle of $ 120^{0}  $ to each other, the number of images of a  object, kept between the two mirror is 

  1. $2$

  2. $3$

  3. $4$

  4. $5$


Correct Option: A

Why is it difficult to read the image of the text of a page formed due to reflection by plane mirror?

  1. Due to lateral inversion

  2. It is virtual

  3. Due to reflection

  4. No difficulty


Correct Option: A
Explanation:

In a plane mirror, each point on the image is as far behind the mirror plane as the corresponding point on the object is in front.  So, the image of an object is reversed in the direction perpendicular to the surface of the mirror. Therefore, the concept is called as Lateral inversion. It is the apparent reversal of left and right that we often see in a plane mirror image. Due to this lateral inversion, it is difficult to read the image of a text page formed due to reflection by a plane mirror.

An insect is sitting in front of a plane mirror at a distance $1$$\  m $ from it.

(a) Where is the image of the insect formed?
(b) What is the distance between the insect and its image?

  1. $(a)$ $2$ $m$ behind the mirror $(b)$ $1$$m$

  2. $(a)$ $2$$m$ infront of the mirror $(b)$ $1$$m$

  3. $(a)$ $1$$m$ infront of the mirror $(b)$ $2$$m$

  4. $(a)$ $1$$m$ behind the mirror $(b)$ $2$$m$


Correct Option: D
Explanation:

For plane mirrors, the object distance (do) is equal to the image distance (di). That is, the image is the same distance behind the mirror as the object is in front of the mirror. If we stand a distance of 2 meters from a plane mirror, we must focus at a location 2 meters behind the mirror in order to view our image.
In this case, an insect is sitting in front of a plane mirror at a distance $1$$m$ from it.
Case (a):
As the object distance and image distance are equal, the image is formed at a distance of 1 m behind the mirror.
Case (b):
The image distance is 1 m and the object distance is 1 m. Hence, the total distance between the insect and its image is 2 m.