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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Define the term transverse magnification?

Important Questions on Ray Optics and Optical Instruments

EASY

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

A mirror is placed at an angled of $30 °$ with respect to $y -$ axis (see figure). A light ray travelling in the negative $y -$ direction strikes the mirror. The direction of the reflected ray is given by the vector

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MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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

HARD

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

A ray of light, travelling in the direction

\frac{1}{2} (\hat{i} + \sqrt{3} \hat{j})

, is incident on a plane mirror. After reflection, it travels along the direction

\frac{1}{2} (\hat{i} - \sqrt{3} \hat{j})

. The angle of incidence is

HARD

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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 :

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EASY

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

An object is placed at a distance of

40 cm

in front of a concave mirror of focal length

20 cm

. The image produced is

HARD

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

A concave mirror of radius of curvature

R

has a circular outline of radius

r .

A circular disc is to be placed normal to the axis at the focus so that it collects all the light that is reflected from the mirror from a beam parallel to the axis. For

r ≪ R

, the area of this disc has to be at least

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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:

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MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

A point source of light, $S$ is placed at a distance $L$ in front of the center of plane mirror of width $d$ which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance $2 L$ as shown below. The distance over which the man can see the image of the light source in the mirror is:

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MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

For a concave mirror of focal length

10 cm

to form twice magnified image, distance of object from its pole is/are

HARD

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

A beam of light from a source

L

is incident normally on a plane mirror fixed at a certain distance

x

from the source. The beam is reflected back as a spot on a scale placed just above the source

L

. When the mirror is rotated through a small angle

θ

, the spot of the light is found to move through a distance

y

on the scale. The angle

θ

is given by

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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

EASY

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

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>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

The magnification produced by a spherical mirror and a spherical lens is

+ 0.8 .

Then:

EASY

Physics>Optics>Ray Optics and Optical Instruments>Reflection at Plane and Spherical Surfaces

Draw a ray diagram for the image formed by a concave mirror when the object is placed between pole and focus and write the conclusion.

Define the term transverse magnification?

Important Questions on Ray Optics and Optical Instruments

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