Tag: evs

Questions Related to evs

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.

In a plane mirror, the image is as far behind the mirror as the object is in front of it. 

  1. True

  2. False


Correct Option: A
Explanation:

The distance of image from the mirror is distance of image formed behind the plane mirror.

The given statement is $true$

State whether the following statement is True or False?
The size of the image produced by plane mirror is the same as that of the objects. 

  1. True

  2. False


Correct Option: A
Explanation:

The image formed by a plane mirror is always virtual (meaning that the light rays do not actually come from the image), upright, and of the same shape and size as the object it is reflecting. A virtual image is a copy of an object formed at the location from which the light rays appear to come.
Hence, the statement is true.

Choose the incorrect statement related to the image formed by a plane mirror:

  1. a plane mirror always forms a virtual image

  2. the image formed by a plane mirror may be magnified or diminished

  3. the image formed by a plane mirror is always unmagnified and laterally inverted

  4. the image formed by a plane mirror is always unmagnified and erect


Correct Option: A,B
Explanation:

As the image formed by a plane mirror is always virtual,upright, and of the same shape and size as the object it is reflecting.
Hence, option B is incorrect statement.

When the angle between two plane mirrors is $\displaystyle { 60 }^{ o }$, how many multiple images will be formed by the mirrors?

  1. $6$

  2. $7$

  3. $4$

  4. $5$


Correct Option: D
Explanation:

Number of images will be given by,

 
                  =$\dfrac{360}{\theta} -1$


given,  $\theta=60$

               $\therefore$    Number of images will be 5.

When a divergent beam of light is incident on a plane mirror, the image formed is

  1. Upright and real

  2. Upright and virtual

  3. Inverted and virtual

  4. Inverted and real


Correct Option: B
Explanation:

It should be remembered that plane mirror always form virtual and errect image and that too of same but laterally inverted.

A virtual image formed by a plane mirror is -

  1. Diminished

  2. Inverted

  3. Erect

  4. Enlarged


Correct Option: C
Explanation:

A plane mirror always forms erect image and of same size as well.

An object is placed at a distance of $0.25m$ in front of a plane mirror. The distance between the object and the image is:

  1. $0.5m$

  2. $1m$

  3. $0.25m$

  4. $0.75m$


Correct Option: A
Explanation:

For reflection from a plane mirror, distance between object and mirror $=$ distance between mirror and the image$=0.25m$

So, distance between object and image$=$ (distance between object and mirror) $+$ (distance between mirror and image) $=(0.25+0.25)m=0.5m$

If $x _1$ be the size of the magnified image and $x _2$ the size of the diminished image in Lens Displacement Method, then the size of the object is

  1. $\sqrt{x _1x _2}$

  2. $x _1x _2$

  3. $x _1^2x _2$

  4. $x _1x^2 _2$


Correct Option: A
Explanation:

The size of the object in accordance with the Fresnel's displacement law is given by $\sqrt{x _1x _2}$.

If a mirror forms a virtual image of a real object then

  1. it must be a convex mirror.

  2. it must be concave mirror.

  3. it must be a plane mirror.

  4. it may be any of the mirrors mentioned above.


Correct Option: D
Explanation:

A mirror that forms a virtual image of a real object is :
(a) Concave mirror: When object is placed only between pole and focus of the mirror.
(b) Convex mirror: For all positions of objects, image is virtual.
(c) Plane mirror: Image formed is virtual.