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Image of an extended object formed by a plane mirror - class-VIII

Description: image of an extended object formed by a plane mirror
Number of Questions: 18
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Tags: evs physics our colourful world magic with mirrors reflection of light
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Virtual image is always erect

  1. True

  2. False


Correct Option: A
Explanation:

As we can observe from all the virtual images formed by plane mirror or curved mirror,virtual images are always erect.

Formation of erect image is a characteristic of which of the following mirrors ?

  1. Plane Mirror

  2. Concave mirror

  3. Convex mirror

  4. All the above


Correct Option: D
Explanation:
$ \bf{Convex\ mirrors} $ always produce a virtual, erect and diminished image and the decrease in size of image depends on the position of the object in front of the mirror.

$ \bf{Plane\ Mirrors} $ always produce a virtual and erect image having the same size as that of the object irrespective of the position of object.

$ \bf{Concave\ mirrors} $ produce real and virtual, erect and inverted, diminished, same-sized and magnified image depending upon the position of the object on the principal axis. The concave mirror forms a virtual and erect image only when the object is placed between the Focus and the pole of the mirror.

Thus, an erect image can be formed by all the three mirrors.

Hence, the correct answer is OPTION D.

Choose the correct option regarding the image formed by a plane mirror

  1. It is real

  2. It is erect

  3. It is inverted

  4. None of the above


Correct Option: B
Explanation:

A $ \bf{plane\ mirror} $ always forms an image which is $ \bf{virtual} $ in nature (meaning that light rays meet behind the mirror or that light rays do not actually come from the image), $ \bf{erect} $ and of the $ \bf{same\ shape\ and\ size} $ as that of the object, it is reflecting.

Hence, the correct answer is OPTION B. 

Which of the following is a characteristic of the image formed by a plane mirror ?

  1. The image is twice in size as the object.

  2. The image is nearer from the mirror as the object is in front of it.

  3. The image is real

  4. The image is erect


Correct Option: D
Explanation:

A $ \bf{plane\ mirror} $ always forms an image which is $ \bf{virtual} $ in nature (meaning that light rays meet behind the mirror or that light rays do not actually come from the image), $ \bf{erect} $ and of the $ \bf{same\ shape\ and\ size} $ as that of the object, it is reflecting. The image in  plane mirror is formed as far behind the mirror as the object in front of it. 

Hence, the correct answer is OPTION D. 

On reflection from a rigid body, the wave undergoes a phase change of

  1. $90^{\circ}$

  2. $180^{\circ}$

  3. $210^{\circ}$

  4. $120^{\circ}$


Correct Option: B

When you see your reflection in the inner surface of the spoon, choose the correct option regarding the image formed

  1. The image formed will be erect only, it can not be inverted

  2. The image formed will be inverted only, it can not be erect

  3. The image formed can be both erect or inverted depending upon distance of your face and the spoon

  4. The image formed will be real


Correct Option: C
Explanation:

Since inner surface of spoon act as concave mirror i.e. erect or diminished or virtual or real with varyaccording to position of object.

A small object is placed 10cm in front of a plane mirror. If you stand behind the object 30 cm from the object and look at its image, the distance focused for your eye will be :

  1. $60 cm$

  2. $20cm$

  3. $40 cm$

  4. $80 cm$


Correct Option: C

When a ray of light is incident normally on a plane mirror then the angle of reflection will be?

  1. ${0}^{o}$

  2. ${90}^{o}$

  3. ${180}^{o}$

  4. $-{90}^{o}$


Correct Option: A
Explanation:

As angle of incidence and angle of reflection is always equal hence angle of reflection should be $0°$ as normal to the plane incidence means $0°$ is the angle of incidence from normal.

A monochromatic ray of light in glass strikes the glass air interference normally. which of the following correct?

  1. The ray is totally reflected into glass

  2. The ray passes into air such that the
    refracted ray bends away from the normal

  3. The ray passes into air undeviated and with an increase in its speed.

  4. The ray passes into air with an increase in its frequency.


Correct Option: A

Two plane mirrors A and B are aligned parallel to each other, as shown in figure. A light ray is incident at an angle $30$ 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. $28$

  2. $30$

  3. $32$

  4. $34$


Correct Option: B

Two plane mirrors are inclined to each  other such that  a ray of light incident on the first  mirror $\left( { M } _{ 1 } \right) $ and parallel to the second mirror $\left( { M } _{ 2 } \right) $  is finally reflected from the second mirror $\left( { M } _{ 1 } \right) $ parallel to the two mirroes will  be : 

  1. ${ 90 }^{ 0 }$

  2. ${ 75 }^{ 0 }$

  3. ${ 45 }^{ 0 }$

  4. ${ 60 }^{ 0 }$


Correct Option: D

Two plane mirror are inclined to each other such that a ray of light incident on the first mirror $\left( { M } _{ 1 } \right) $ and parallel to the second mirror $\left( { M } _{ 2 } \right) $ is finally reflected form th second mirror $\left( { M } _{ 2 } \right) $ parallel to the first mirror $\left( { M } _{ 1 } \right) $ the angle between the two mirrors will be :

  1. ${ 60 }^{ 0 }$

  2. $75^{ 0 }$

  3. $90^{ 0 }$

  4. $45^{ 0 }$


Correct Option: A

a particle is moving in front of a plane mirror as shown in figure. Velocity of image with respect to object is -

  1. $V sin \theta$

  2. $V cos \theta$

  3. $2V sin \theta$

  4. $2 V cos \theta$


Correct Option: B

If the mirror is displaced by a distance 4 cm, towards the object, the image is displaced by 

  1. 12 cm

  2. 4 cm

  3. 6 cm

  4. 8 cm


Correct Option: D

A ray of light is incident on a plane mirror along a vector $\hat {i} + \hat {j} - \hat {k}$, then find the direction of reflected ray if normal is $\hat i + \hat j$

  1. $\hat {i} + \hat {j} - \hat {k}$

  2. $-\hat {i} + \hat {j} - \hat {k}$

  3. $-\hat {i} - \hat {j} - \hat {k}$

  4. $\hat {i} + \hat {j} + \hat {k}$


Correct Option: C

When you see reflection of your own in the surface of water, Choose the correct option

  1. The image formed is real

  2. The image formed is inverted

  3. The image formed is erect

  4. None of the above


Correct Option: C
Explanation:

The image formed by surface of mirror is just like that formed by a mirror.

It is virtual and erect.

Answer-(C)

The phenomena involves in the reflection of radiowaves by ionosphere is similar to

  1. reflection of light by a plane mirror.

  2. total internal reflection of light in air during a mirage.

  3. dispersion of light by water molecules during the formation of a rainbow.

  4. scattering of light by the particles of air.


Correct Option: B
Explanation:

The ionosphere is the ionized layer of the Earth's atmosphere and its consists of the ions which are formed due to the UV rays coming from the sun. These free electrons result in the reflection of the radio waves and make them reflected back.


This is same as the mirage formation due to the total internal reflection of the rays when the incident angle is greater than the critical angle.

For which of following condition there is no emergent light whatever may be the angle of incidence?

  1. $ A < 2C $

  2. $ A > C $

  3. $ A > 2C $

  4. $ A < C $


Correct Option: C
Explanation:
For this, we can say that if ${ r } _{ 2 }$ (min) is able to do total internal reflection than definitely all values of ${ r } _{ 2 }$ will perform $TIR$ because min ${ r } _{ 2 }$ has performed that, So, for min ${ r } _{ 2 }$, ${ r } _{ 1 }$ has to be maximum hence $i$ will be maximum,
Applying Snell's law we will get $sin{ r } _{ 1 }=\frac { 1 }{ u } =$ critical angle and for no emergence ${ r } _{ 2 }$ min will be consider us greater than critical angle and hence rest ${ r } _{ 2 }$ will be automatically eligible for $TIR$.
For relation,
${ r } _{ 1 }+{ r } _{ 2 }=A$
We will get ${ r } _{ 1 }+{ r } _{ 2 }=A$
we will get, ${ r } _{ 1 }+{ r } _{ 2 }>2$ (critical angle)
$A>2$ critical angle.
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