Q: Two plane mirrors are inclined at {70}^{o} . A ray incident on one mirror at angle \theta , after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of \theta :

In the triangle formed in figure- 70°+70°+90°-\theta =180° \theta =50°

Question 1

State the characteristics of the image formed by a plane mirror.

Accepted Answer

(i) Plane mirror forms an erect image.(ii) It forms a virtual image.(iii) Size of the image is same as that of the object.(iv) Image is formed at the same distance behind the mirror as the object stands in front of it.(v)Image formed is a laterally inverted image i.e., right hand side of the object seems to be the left hand side and vice-versa.

Question 2

A Concave mirror produces three times magnified real image of an object placed at  10cm  infront of it . Where is the image located?

Accepted Answer

Given magnification  m=3 and object distance  u=10  cm and we know,Magnification  m=\dfrac{-v}{u} -v=3	imes -10 v=30  cmThus the image is formed at distance of 30 cm.

Question 3

If an object is placed at a distance of  0.5\,m  in front of a plane mirror, the distance between the object and the image formed by the mirror will be

Accepted Answer

The image formed by the mirror is at same distance behind the mirror as object is in front of it, nowIf distance of object from mirror = 0.5 mThen distance of image from mirror = 0.5 mSo, distance between object and mirror = 0.5 m+ 0.5m = 1m

Question 4

A ray of light is incident on a plane mirror at an angle of incidence of  30^o . The deviation produced by the mirror is:

Accepted Answer

Since angle of incident =angle of reflectionHence  r=30^{0} And here angle of deviation, \delta=180^{0}-(i+r) \delta=120^{0}

Question 5

The image formed by a plane mirror is always

Accepted Answer

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.

Question 6

The minimum length of a plane mirror required to view the full image of a person 6 feet tall is :

Accepted Answer

It does not matter how far you are from the mirror. In order to see full image of a person, the minimum size of the mirror should be one half the person's height. This is so because, in reflection, the angle of incidence is equal to angle of reflection. So, to see the image of a 6 ft tall person, a 3 ft long mirror is required.

Question 7

A ray of light is incident on a plane mirror at an angle of   30^0   . what is the angle of reflection?

Accepted Answer

The incident ray will have an angle of reflection of 30 degrees (made with a surface normal to the mirror surface). The reflected ray will make an angle of 60 degrees (90 - 30 degrees) with the mirror surface

Question 8

Draw a ray diagram for concave mirror when object is placed between focus and centre of curvature. Also write position, nature and size of image.

Accepted Answer

A real, inverted image is formed beyond the centre of curvature (C). It is larger than the object (enlarged image).

Question 9

A plane mirror is approaching you at  10 cm/s.  You can see your image in it. The image will approach you with a speed of :

Accepted Answer

In a plane mirror if the mirror moves at speed of  v , then the image moves at a speed of  2v .So, in this case, as mirror is moving at a speed  10\ cm/s , the image will move at a speed of  (2)	imes (10)cm/s   =20cm/s

Question 10

Two plane mirrors are inclined at  {70}^{o} . A ray incident on one mirror at angle  	heta , after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of  	heta  :

Accepted Answer

In the triangle formed in figure- 70°+70°+90°-	heta =180° 	heta =50°

Images Formed by Two Inclined Plane Mirrors

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Important Questions

State the characteristics of the image formed by a plane mirror.

A Concave mirror produces three times magnified real image of an object placed at $10 c m$ infront of it . Where is the image located?

If an object is placed at a distance of $0.5 m$ in front of a plane mirror, the distance between the object and the image formed by the mirror will be

A ray of light is incident on a plane mirror at an angle of incidence of $3 0^{o}$ . The deviation produced by the mirror is:

The image formed by a plane mirror is always

The minimum length of a plane mirror required to view the full image of a person 6 feet tall is :

A ray of light is incident on a plane mirror at an angle of $3 0^{0}$ . what is the angle of reflection?

Draw a ray diagram for concave mirror when object is placed between focus and centre of curvature. Also write position, nature and size of image.

A plane mirror is approaching you at $10 c m / s .$ You can see your image in it. The image will approach you with a speed of :

Two plane mirrors are inclined at $70^{o}$ . A ray incident on one mirror at angle $θ$ , after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of $θ$ :

Images Formed by Two Inclined Plane Mirrors

Language

Rate

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REVISE WITH CONCEPTS

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Image Formation With Multiple Reflections

Important Questions

State the characteristics of the image formed by a plane mirror.

A Concave mirror produces three times magnified real image of an object placed at 10cm infront of it . Where is the image located?

If an object is placed at a distance of 0.5m in front of a plane mirror, the distance between the object and the image formed by the mirror will be

A ray of light is incident on a plane mirror at an angle of incidence of 30o. The deviation produced by the mirror is:

The image formed by a plane mirror is always

The minimum length of a plane mirror required to view the full image of a person 6 feet tall is :

A ray of light is incident on a plane mirror at an angle of 300 . what is the angle of reflection?

Draw a ray diagram for concave mirror when object is placed between focus and centre of curvature. Also write position, nature and size of image.

A plane mirror is approaching you at 10cm/s. You can see your image in it. The image will approach you with a speed of :

Two plane mirrors are inclined at 70o. A ray incident on one mirror at angle θ, after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of θ :

A Concave mirror produces three times magnified real image of an object placed at $10 c m$ infront of it . Where is the image located?

If an object is placed at a distance of $0.5 m$ in front of a plane mirror, the distance between the object and the image formed by the mirror will be

A ray of light is incident on a plane mirror at an angle of incidence of $3 0^{o}$ . The deviation produced by the mirror is:

A ray of light is incident on a plane mirror at an angle of $3 0^{0}$ . what is the angle of reflection?

A plane mirror is approaching you at $10 c m / s .$ You can see your image in it. The image will approach you with a speed of :

Two plane mirrors are inclined at $70^{o}$ . A ray incident on one mirror at angle $θ$ , after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of $θ$ :