Light – Reflection and Refraction

NCERT Revision Notes for Chapter 10 Light– Reflection and Refraction Class 10 Science

CBSE NCERT Revision Notes

1

Introduction-Reflection

Answer

→ Light is the form of energy that provides sensation of vision.

→ Some common phenomena associated with lights are image formation by mirrors, the twinkling of stars, the beautiful colours of a rainbow, bending of light by a medium and so on.

2

Properties of Light

Answer

→  Electromagnetic wave, so does not require any medium to travel.

→  Light tends to travel in straight line.

→  Light has dual nature i.e. wave as well as particle.

→ Light casts shadow.

→ Speed of light is maximum in vaccum. Its value is 3 × 108 ms-1.

→ When light falls on a surface, following may happen:

(i) Reflection

(ii) Refraction

(iii) Absorption

3

Reflection

Answer


→ Bouncing back of light when it strikes on a polished surface like mirror.

Laws of Reflection

(i) Angle of incidence is equal to the angle of reflection.

(ii) The incident ray, the reflected ray and the normal at the point of incidence, all lie in the same plane.

Virtual and Real image

Image is a point where atleast two light rays actually meet or appear to meet.

Real Image

Virtual Image

Formed when light rays actually meet.

Formed when light rays appear to meet.

Can be obtained on screen.

Can’t be obtained on screen.

Inverted

Erect

Example: image formed on cinema screen and formed by concave mirror.

Example: image formed by plane mirror or convex mirror.

4

Image Formed by Plane Mirror

Answer

Characteristics of Image formed by Plane Mirror

(i) Virtual and erect.

(ii) Size of image is equal to the size of object.

(iii) Image is formed as far behind the mirror as the object is in front of it.

(iv) Laterally inverted.

Lateral Inversion: The right side of the object appears left side of the image and vice-versa.

Application of lateral inversion

→ The word AMBULANCE is written in reverse direction so that it can be read correctly in rear view mirror of vehicles going in front of it.

5

Spherical Mirrors

Answer

→ Mirrors whose reflecting surface is curved.

→ There are two types of spherical mirrors:

(i) Convex Mirror

(ii) Concave Mirror

Properties of Concave mirror

• Reflecting surface is curved inwards.

• Converging mirror 

Properties of Convex mirror

• Reflecting surface is curved outwards.

• Diverging mirror

Common terms for Spherical mirrors

→ Principal axis: The line joining the pole and center of curvature.

→ Pole (P): The center of the spherical mirror.

→ Aperture (MN):  It is the effective diameter of the spherical mirror.

→ Center of Curvature (C): The center of the hollow glass sphere of which the mirror was a part.

→ Radius of Curvature (R): The distance between the pole and the center of curvature.

→ Focus (F): The point on principal axis where all the parallel light rays actually meet or appear to meet after reflection.

→ Focal length (f): The distance between the pole and the focus.

→ Relationship between focal length and radius of curvature: f = R/2

6

Rules for making ray diagrams by spherical mirror

Answer

(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.

(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.

(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.

(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. The incident and reflected rays follow the laws of reflection at the point of incidence (point P), making equal angles with the principal axis.

7

Ray diagrams for images formed by concave mirror

Answer

(i) When object is at infinity

Image Position − At ‘F’

Nature of image – Real, inverted

Size – Point sized or highly diminished

(ii) When object is beyond ‘C’

Image Position – Between ‘F’ and ‘C’

Nature of image – Real, inverted

Size – Diminished

(iii) When object is at ‘C’

Image Position – At ‘C’

Nature of image – Real, inverted

Size – Same size as that of object

(iv) When object is placed between ‘F’ and ‘C’

Image Position – Beyond ‘C’

Nature of image– Real, inverted

Size – Enlarged

(v) When object is placed at ‘F’

Image Position – At Infinity

Nature of image – Real, inverted

Size – Highly enlarged

(vi) When object is between ‘P’ and ‘F’

Image Position – Behind the mirror

Nature of image – Virtual, erect

Size – Enlarged

8

Uses of Concave Mirror

Answer

(i) Used in torches, search lights and vehicles headlights to get powerful parallel beam of light.

(ii) Concave mirrors are used by dentists to see large image of teeth of patients. (Teeth have to be placed between pole and focus).

(iii) Concave mirror is used as shaving mirror to see a larger image of the face.

(iv) Large concave mirrors are used to concentrate sunlight to produce heat in solar furnace.

9

Ray diagrams of images formed by convex mirror

Answer

(i) When object is placed at infinity

Image Position − At ‘F’

Nature of image – Virtual, erect

Size – Point sized

(ii) When object is placed between pole and infinity

Image Position – Between ‘P’ and ‘F’

Nature of image– Virtual, erect

Size – Diminished

A full length image of a tall building/tree can be seen in a small convex mirror.

10

Uses of Convex Mirror

Answer

(i) Convex mirrors are used as rear view mirrors in vehicles because

→ they always give an erect though diminished image.

→ they 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.

11

Sign Convention for Reflection by Spherical Mirror

Answer

(i) The object is placed to the left of the mirror.

(ii) All distances parallel to the principal axis are measured from the pole of the mirror.

(iii) All distances measured in the direction of incident ray (along + X-axis) are taken as positive and those measured against the direction of incident ray (along – X-axis) are taken as negative.

(iv) Distance measured perpendicular to and above the principal axis are taken as positive.

(v) Distances measured perpendicular to and below the principal axis are taken as negative.

• Object distance = ‘u’ is always negative.

• Focal length of concave mirror = Negative

• Focal length of convex mirror = Positive

12

Mirror Formula

Answer

1/v + 1/u = 1/f

where, v = Image distance

u = Object distance

f = Focal length

Magnification of Spherical Mirrors

It is the ratio of the height of image to the height of object.

m = Height of image/Height of object

⇒ m = hi/ho

Also, m = -v/u

→ If ‘m’ is negative, image is real.

→ If ‘m’ is positive, image is virtual.

→ If hi = ho then m = 1, i.e., image is equal to object.

→ If hi > ho then m > 1 i.e., image is enlarged.

→ If hi < ho then m < 1 i.e., image is diminished.

• Magnification of plane mirror is always + 1.

‘+’ sign indicates virtual image.

‘1’ indicates that image is equal to object’s size.

• If ‘m’ is ‘+ve’ and less than 1, it is a convex mirror.

• If ‘m’ is ‘+ve’ and more than 1, it is a concave mirror.

• If ‘m’ is ‘-ve’, it is a concave mirror.

13

Introduction-Refraction

Answer

→ Refraction is bending of light when it enters obliquely from one transparent medium to another.

→ Speed of light is maximum in vaccum. It is 3 × 108 m/s.

→ Cause of refraction: Change in speed of light.

• Some examples of refraction

→ The bottom of swimming pool appears higher.

→ A pencil partially immersed in water appears to be bent at the interface of water and air.

→ Lemons placed in a glass tumbler appear bigger.

→ Letters of a book appear to be raised when seen through a glass slab.

14

Refraction

Answer

→ Bouncing back of light when it strikes on a polished surface like mirror.

→ The extent of bending of ray of light at the opposite parallel faces of rectangular glass slab is equal and opposite, so the ray emerges parallel to incident ray.

• Lateral displacement depends on :

→ Refractive index of glass slab

→ Thickness of the glass slab

15

Laws of Refraction

Answer

(i) 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.

(ii) Snell’s law: The ratio of sine of angle of incidence to the sine of angle of refraction is a constant, for a light of given colour and for a given pair of media.

sin i/sin r = constant

 Refractive index (n): The ratio of speed of light in a given pair of media

n = Velocity of light in medium 1/Velocity of light in medium 2

→ n21 means refractive index of second medium with respect to first medium.

n21 = v1/v2

→ n12 means refractive index of second medium with respect to first medium.

n12 = v2/v1

• Absolute Refractive Index: Refractive index of a medium with respect to vaccum or air.

n = (c/v) x c = 3 × 108 m/s.

→ Refractive index of one medium is reciprocal of other’s refractive index in a given pair.

n12 = 1/n21

→ If refractive index of medium 1 w.r.t. air is given as 1nair, and

If refractive index of medium 2 w.r.t. air is given as 2nair.

Then, refractive index of medium 1 w.r.t. medium 2 = (1nair)/(1nair)

→ Refractive index of diamond is the highest till date. It is 2.42. It means speed of light is 1/2.42 times less in diamond than in vaccum.

• Optically denser medium: Out of two given media, the medium with higher value of refractive index.

• Optically rarer medium: Out of two given media, the medium with lower value to refractive index.

→ When light enters obliquely from a rarer to a denser medium, it bends towards the normal.

→ When light enters obliquely from denser to a rarer medium, it bends away from the normal.

→ Refractive index of a medium does not depend on physical density.

• Spherical lens: A transparent medium bound by two surfaces, of which one or both surfaces are curved.

Convex Lens

Concave Lens

Thin from corners

Thick from corners

Thick at center 

Thin at centre

Converging

Diverbging

16

Rules for image formation by convex lens

Answer

(i) A ray of light parallel to principal axis of a convex lens always pass through the focus on the other side of the lens.

(ii) A ray of light passing through the principal focus will emerge parallel to principal axis after refraction.

(iii) A ray of light passing through the optical center will emerge without any deviation.

17

Ray Diagrams of Image formed by Convex Lens

Answer

(i) When object is at infinity

Image Position − At ‘F 2 ’

Nature of image – Real, inverted

Size – Point sized or highly diminished

(ii) When object is beyond ‘2F1’

Image Position – Between ‘F2’ and ‘2F2’

Nature of image– Real, inverted

Size – Diminished

(iii) When object is at ‘2F1 ’

Image Position – At ‘2F2 ’

Nature of image – Real, inverted

Size – Same size

(iv) When object is between ‘F1’ and ‘2F1’

Image Position – Beyond ‘2F2’

Nature of image – Real, inverted

Size – Enlarged

(v) When object is at ‘F1’

Image Position – At Infinity

Nature of image – Real, inverted

Size – Highly enlarged

(vi) When object is between ‘F1’ and optical centre

Image Position – On the same side of the lens as object

Nature of image – Virtual and erect

Size – Enlarged

18

Rules for Image Formation by Concave Lens

Answer

(i) A ray of light parallel to the principal axis appear to diverge from the principal focus located on the same side of the lens.

(ii) A ray of light appearing to meet at the principal focus of a concave lens will emerge parallel to principal axis.

(iii) A ray of light passing through the optical centre of a lens will emerge without any deviation.

19

Ray Diagrams of Images Formed by a Concave Lens

Answer

(i) When object is placed at infinity

Image Position − At ‘F1’

Nature of image – Virtual, erect

Size – Point sized or highly diminished

(ii) When object is placed between infinity and optical centre

Image Position – Between ‘F’ and ‘O’

Nature of image – Virtual, erect

Size – Diminished

20

Sign convention for spherical lenses

Answer

• Sign conventions are similar to the one used for spherical mirrors, except that measurements are taken from optical center of the lens.

• Focal length of convex lens = Positive

Focal length of concave lens = Negative

Lens Formula

1/v - 1/u = 1/f

Magnification

m = hi/h= v/u

21

Power of a lens

Answer

→ It is defined as the reciprocal of focal length in meter.

→ The degree of convergence or divergence of light rays is expressed in terms of power.

Power (P) = 1/v - 1/u = 1/f

→ SI unit of Power = dioptre = D

→ 1 D = 1 m-1

→ 1 dioptre is the power of lens whose focal length is one meter.

→ Power of convex lens = Positive

→ Power of concave lens = Negative

→ Power ∝ 1/(focal length or thickness)

→ Power of a lens combination (P) = P1 + P2 + P3 .........