Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror] Column 1 Column 2 (A) m = - 2 (a) Convex mirror (B) m = - 1 2 (b) Concave mirror (C) m = + 2 (c) Real image (D) m = + 1 2 (d) Virtual image

A → b and c; B → b and c; C → b and d; D → a and d

A → a and c; B → a and d; C → a and b; D → c and d

A → a and d; B → b and c; C → b and d; D → b and c

A → c and d; B → b and d; C → b and c; D → a and d

EASY

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Only paraxial rays are considered for the formation of image in spherical mirrors because-

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Important Questions on Reflection of Light

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

To find the focal length of a convex mirror, a student records the following data:

Object pin	Convex Lens	Convex Mirror	Image Pin
22.2 cm	32.2 cm	45.8 cm	71.2 cm

The focal length of the convex lens is

f_{1}

and that of mirror is

f_{2}

. Then taking index correction to be negligibly small,

f_{1}

and

f_{2}

are close to:

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

In a car a rear view mirror having a radius of curvature

1.50 m

forms a virtual image of a bus located

10.0 m

from the mirror. The factor by which the mirror magnifies the size of the bus is close to

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

Question Image

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

1 cm

height needle is placed at a distance of

0.1 m

from a convex mirror of focal length

0.05 m,

then size of the image is

EASY

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A person looks at the image of two parallel finite length lines

P Q

and

R S

in a convex mirror (see figure)
Question Image

Which of the following represents schematically the image correctly? (Note : letters

P, Q, R

and

S

are used only to denote the endpoints of the lines.)
Question Image

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A concave mirror for face viewing has a focal length of

0.4 m

. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of

5

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

You are asked to design a shaving mirror assuming that a person keeps it at

10 cm

from his face and views the magnified image of the face at the closest comfortable distance of

25 cm

. The radius of curvature of the mirror would then be:

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

When an object is kept at a distance of

30 cm

from a concave mirror, the image is formed at a distance of

10 cm

from the mirror. If the object is moved with a speed of

9 cm s^{- 1}

, the speed (in

cm s^{- 1}

) with which image moves at that instant is

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

An object which is

6 mm

high is placed at a distance of

20 cm

from a convex mirror of radius of curvature

20 cm,

on the optic axis. The image is

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]

	Column 1		Column 2
(A)	$m = - 2$	(a)	Convex mirror
(B)	$m = - \frac{1}{2}$	(b)	Concave mirror
(C)	$m = + 2$	(c)	Real image
(D)	$m = + \frac{1}{2}$	(d)	Virtual image

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification

(m)

versus distance of the object from the mirror

(x)

is correctly given by
(Graphs are drawn schematically and are not to scale)

EASY

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

An object is placed at the focus of a convex mirror. The image will be at

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A point object is moving uniformly towards the pole of a concave mirror of focal length $25 cm$ along its axis as shown below. The speed of the object is $1 {ms}^{- 1}$ . At $t = 0$ , the distance of the object from the mirror is $50 cm$ . The average velocity of the image formed by the mirror between time $t = 0$ and $t = 0.25 s$ is:

Question Image

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A concave mirror has radius of curvature of

40 c m .

It is at the bottom of a glass that has water filled up to

5 c m

(see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance

d

from the surface of water. The value of

d

is close to: (Refractive index of water

= 1.33)

EASY

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A concave mirror of focal length

15 cm

, forms an image having twice the linear dimensions of the object. The position of the object, when the image is virtual, will be

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

An object is placed on the principal axis of a concave mirror at a distance of

1.5 f

(

f

is the focal length). The image will be at,

MEDIUM

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A spherical mirror is obtained as shown in the figure from a hollow glass sphere, if an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure down as schematic and not to scale)

Question Image

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length

f

, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)
Question Image

EASY

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

A short straight object of height

100 cm

lies before the central axis of a spherical mirror whose focal length has absolute value

|f| = 40 cm

. The image of object produced by the mirror is of height

25 cm

and has the same orientation of the object. One may conclude from the information:

HARD

Physics>Optics>Reflection of Light>Image Formation by Spherical Mirrors

An object, is placed

60 cm

in front of a convex mirror of focal length

30 cm

. A plane mirror is now placed facing the object in between the object and the convex mirror such that it covers lower half of the convex mirror. What should be the distance of the plane mirror from the object, so that there will be no parallax between the images formed by the two mirrors?

Only paraxial rays are considered for the formation of image in spherical mirrors because-

Important Questions on Reflection of Light

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