2. I n t r o d u c t i o n
Light - It is a form of energy which produces us the sensation of vision.
Source - A source of light is an object, from which light is given out. Some
sources of light are natural and many others are man-made sources.
Ray - A ray of light is the straight line path along which light travels.
Mirror is a shiny polished object (glass) which reflects most of the rays of
light falling upon it.
A number of rays combined together form a beam of light.
3. โ Electromagnetic wave, so does not require any medium to travel.
โ Light tends to travel in straight line.
โ Light has dual nature i.e. wave as well as particle.
โLight casts shadow.
โSpeed of light is maximum in vaccum. Its value is 3 ร 10 m/s.
8
P r o p e r t i e s o f L i g h t
6. Reflection of Light (Plane mirror)
Reflection of light is the phenomenon of bouncing back of
light in the same medium on striking the surface of any object.
7. Laws of Reflection
Angle of Incidence = Angle of Reflection ( โ i = โ r )
The incident ray, reflected ray and the normal lie in the same plane.
These laws of reflection are applicable to all types of reflecting
surface including spherical surfaces.
8. An image may be defined as that
point, where the light rays coming
from an object meet or appears to
meet after reflection or refraction.
What's an Image ?
10. Image formed by Plane mirrors
Characteristics/Nature of Image :
Size of the image is same as the size of the object.
The image obtained is virtual.
The image is laterally inverted.
The image is erect.
The distance between the image obtained is the
same as the distance between the object from the
mirror.
14. Properties of Convex mirrrors :
Reflecting surface is curved outwards.
Diverging mirror
1.
2.
Properties of Concave mirrrors :
Reflecting surface is curved inwards.
Converging mirror
1.
2.
15.
16. โPrincipal axis
โPole (P)
โAperture (MN)
โCenter of Curvature (C)
Common terms for Spherical mirrors
โRadius of Curvature (R)
โFocus (F)
โFocal length (f)
โRelationship between focal length
and radius of curvature: f = R/2
M
N
17. Representation of Images formed by Spherical mirrors
(i) A ray parallel to the principal axis, after reflection, will pass through the
principal focus in case of a concave mirror or appear to diverge from the
principal focus in case of a convex mirror.
18. (ii) A ray passing through the principal focus of a concave mirror or
a ray which is directed towards the principal focus of a convex
mirror, after reflection, will emerge parallel to the principal axis.
19. (iii) A ray passing through the centre of curvature of a concave mirror
or directed in the direction of the centre of curvature of a convex
mirror, after reflection, is reflected back along the same path.
20. (iv) A ray incident obliquely to the principal axis, towards a point
P (pole of the mirror), on the concave mirror or a convex mirror,
is reflected obliquely.
21. Image formation by Concave mirror
(i) When the object is at infinity
โImage Position - At the Focus (F)
โNature of the Image - Real and Inverted
โSize of the Image - Highly diminished
22. (ii) When the object is beyond 'C'
โImage Position - Between 'C' and 'F'
โNature of the Image - Real and Inverted
โSize of the Image - Diminished
23. (iii) When the object is at 'C'
โImage Position - At 'C'
โNature of the Image - Real and Inverted
โSize of the Image - Same size as that of the object
24. (iv) When the object is placed between 'F' and 'C'
โImage Position - Beyond 'C'
โNature of the Image - Real and Inverted
โSize of the Image - Enlarged
25. (v) When the object is placed at 'F'
โImage Position - At Infinity
โNature of the Image - Real and Inverted
โSize of the Image - Highly Enlarged
26. (vi) When the object is between 'P' and 'F'
โImage Position - Behind the mirror
โNature of the Image - Virtual and Erect
โSize of the Image - Enlarged
27.
28. Image formation by Convex mirror
(i) When the object is at infinity
โImage Position - At the Focus (F), behind the mirror
โNature of the Image - Virtual and Erect
โSize of the Image - Highly diminished
29. (ii) When the object is placed between infinity and pole
โImage Position - Between 'P' and 'F', behind the mirror
โNature of the Image - Virtual and Erect
โSize of the Image - Diminished
30.
31. Uses of Concave Mirrors
Used in torches, search lights and vehicles headlights to get
powerful parallel beam of light.
Concave mirrors are used by dentists to see large image of teeth
of patients.
Concave mirror is used as shaving mirror to see a larger image of
the face.
Large concave mirrors are used to concentrate sunlight to
produce heat in solar furnace.
32. Uses of Convex Mirrors
(i) Convex mirrors are used as rear view mirrors in vehicles because
โthey always give an erect though diminished image.
โthey have a wider field of view as they are curved outwards.
(ii) Convex mirrors are used at blind turns and on points of merging
traffic to facilitate vision of both side traffic.
(iii) Used in shops as security mirror.
34. S i g n c o n v e n t i o n f o r R e f l e c t i o n b y S p h e r i c a l M i r r o r s
New Cartesian Sign Convention
While dealing with the reflection of light by spherical mirrors, we shall
follow a set of sign conventions called the New Cartesian Sign Convention
The Conventions are as follows :
(i) The object is always placed to the left of the mirror. This implies that
the light from the object falls on the mirror from the left-hand side.
(ii) All distances parallel to the principal axis are measured from the pole
of the mirror.
35. (iii) All the distances measured to the right of the origin (along + x-axis)
are taken as positive while those measured to the left of the origin
(along โ x-axis) are taken as negative.
(iv) Distances measured perpendicular to and above the principal axis
(along + y axis) are taken as positive.
(v) Distances measured perpendicular to and below the principal axis
(along โy-axis) are taken as negative.
36.
37. โ Mirror Formula ( Spherical Mirrors)
1
v
1
u
1
v
+ =
'v' = image distance
'u' = object distance
'f' = focal length
38. Magnification
Magnification is defined as the ratio of the height of the image to the
height of the object.
Height of image ( h' )
Height of object ( h )
m =
h'
h
m =
-v
u
=
39. The phenomenon of change in the path of light in going from
one medium to another is called refraction of light.
The basic cause of refraction is the change in the speed of
light in going from one medium to another.
Speed of light is maximum in vacuum. It is 3 X 108 m/s.
Refraction of Light
40. Some examples of Refraction of Light :-
โข The bottom of swimming pool appears higher.
โข A pencil partially immersed in water appears to be bent
at the interface of water and air.
โข Lemons placed in a glass tumbler appear bigger.
โข Letters of book appear to be raised when seen through a
glass slab.
41. 2. When a ray goes from e
d denser to rarer medium.
1. When a ray goes from e
d rarer to denser medium.
43. Laws of Refraction
โข The incident ray, the refracted ray and the normal to the
interface of two transparent media at the point of incidence,
all lie in the same plane.
โข The ratio of the sine of the angle of incidence to the sine of the
angle of refraction is a constant, for the light of a given colour
and for the given pair of media. This law is also known as
Snellโs law of refraction.
๐ฌ๐ข๐ง ๐
๐ฌ๐ข๐ง ๐
= constant
44.
45. Refractive Index
It represents the amount or extent of bending of light when it
passes from one medium to another.
There are two types of refractive index :-
โข Relative refractive index
โข Absolute refractive index
46. Relative Refractive Index โ When light travels from one medium 1
to another medium 2 the refractive index of medium 2 with
respect to medium 1 is given by the ratio of speed of light in
medium 1 and the speed of light in medium 2.
The refractive index of medium 1 with respect to medium 2.
n21 =
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐ ๐๐๐ ๐
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐ ๐๐๐ ๐
=
๐ฝ๐
๐ฝ๐
n12 =
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐ ๐๐๐ ๐
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐ ๐๐๐ ๐
=
๐ฝ๐
๐ฝ๐
47. Absolute Refractive Index :- The refractive index of one
medium with respect to vacuum or air is known as an absolute
refractive index.
nm =
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐
๐บ๐๐๐๐ ๐๐ ๐๐๐๐๐ ๐๐ ๐๐๐ ๐๐๐
=
๐
๐ฏ
48. Refraction of light by Spherical lens :-
Spherical lens :- A transparent medium bound by two
surfaces, of which one or both surfaces are curved is
called a spherical lens.
Concave lens :- It is a spherical lens in which
two spherical surfaces bulge inwards. It is
also called diverging lens.
Convex lens :- It is a spherical lens in which
two spherical surfaces bulge outwards. It is
also called converging lens.
50. (i) A ray of light from the object, parallel to the principal axis, after
refraction from a convex lens, passes through the principal focus on the
other side of the lens. In case of a concave lens, the ray appears to diverge
from the principal focus located on the same side of the lens.
Rules for Refraction of rays by Spherical Lens
51. (ii) A ray of light passing through a principal focus, after refraction from a
convex lens, will emerge parallel to the principal axis. A ray of light
appearing to meet at the principal focus of a concave lens, after refraction,
will emerge parallel to the principal axis.
52. (iii) A ray of light passing through the optical centre of a lens
will emerge without any deviation.
53. (i) When the object is at infinity
โ Image is formed at focus F2
โ Image is highly diminished or point-sized
โ Image is real and inverted
Image formation by Convex Lens
54. (ii) When the object is beyond 2F1
โ Image is formed between F2 and 2F2
โ Image is diminished
โ Image is real and inverted
55. (iii) When the object is at 2F1
โ Image is formed at 2F2
โ Image is same size as that of object
โ Image is real and inverted
56. (iv) When the object is between F1 and 2F1
โ Image is formed beyond 2F2
โ Image is enlarged
โ Image is real and inverted
57. (v) When the object is at focus F1
โ Image is formed at infinity
โ Image is infinitely large or highly enlarged
โ Image is real and inverted
58. (vi) When the object is between focus F1 and optical centre O
โ Image is formed on the same side of the lens as the object
โ Image is enlarged
โ Image is virtual and erect
59.
60. (i) When the object is at infinity
โ Image is formed at focus F1
โ Image is highly diminished or point sized
โ Image is virtual and erect
Image formation by Concave Lens
61. (ii) When the object between infinity and optical centre O of lens
โ Image is formed between focus F1 and optical centre O
โ Image is diminished
โ Image is virtual and erect
64. P =
๐
๐
โ The SI unit of power is dioptre (D).
โ Power of convex lens is positive.
โ Power of concave lens is negative.
Power of a Lens