Theory of Light Chapter



As we have discussed before, we will see theory of the Light chapter in this blog

Laws:

Laws of refraction :

first law: The angle of incidence is equal to the angle of reflection 

second law: The incident ray, the normal to the mirror at the point of incidence and the reflected ray, all lie in the same plane.

 

Laws of refraction : 
first law: 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.

second law: The ratio of sine of angle of incidence to the sine of angle of refraction is a constant, for the light of a given color and for the given pair of media.  

This law is also known as Snell’s law of refraction. 

Definitions :

  1. Centre of curvature: The reflecting surface of a spherical mirror forms a part of a sphere. This sphere has a Centre. This point is called the Centre of curvature of the spherical mirror.
  2. Pole:  The Centre of the reflecting surface of a spherical mirror is a point called the pole: 
  3. Principle axis:  Imagine a straight line passing through the pole and the centre of curvature of a spherical mirror. This line is called the principal axis.
  4. Radius of curvature:  The radius of the sphere of which the reflecting surface of a spherical mirror forms a part, is called the radius of curvature of the mirror.
  5. Aperture:  The diameter of the reflecting surface of spherical mirror is called its aperture
  6. Principle focus:  A number of rays parallel to the principal axis are falling on a concave mirror, the reflected rays are all intersecting at a point on the principal axis of the mirror. This point is called the principal focus of the concave mirror and The reflected rays appear to come from a point on the principal axis. This point is called the principal focus of the convex mirror.
  7. Focal length:  The distance between the pole and the principal focus of a spherical mirror is called the focal length.
  8. Refraction:  When travelling obliquely from one medium to another, the direction of propagation of light in the second medium changes. This phenomenon is known as refraction of light.
  9. Refractive index ( relative):  The refractive index of medium 2 with respect to medium 1 is given by the ratio of the speed of light in medium 1 and the speed of light in medium 2.
  10. Absolute refractive index:  If medium 1 is vacuum or air, then the refractive index of medium 2 is considered with respect to vacuum. This is called the absolute refractive index of the medium.
  11. Power of the lens:  The power of a lens is defined as the reciprocal of its focal length.
#Table of image formation by spherical mirror:

Image formation by concave mirror

Position of the object

Position of the image

Size of the image

Nature of the image

At infinity

At F

Highly diminished

Real and inverted

Beyond C

Between C and F

Diminished

Real and inverted

At F

At C

Same size

Real and inverted

Between C and F

Beyond C

Enlarged

Real and inverted

At F

At infinity

Highly enlarged

Real and inverted

Between F and Pole

Behind the mirror

Enlarged

Virtual and erect


Image formation by convex mirror

Position of the object

Position of the image

Size of the image

Nature of the image

At infinity

At F

Highly diminished

Virtual and erect

Between infinity and pole of the mirror

Between F and Pole

Diminished

Virtual and erect



Image formation by concave lens

Position of the object

Position of the image

Size of the image

Nature of the image

At infinity

At F1

Highly diminished

Virtual and erect

Between infinity and the optical Centre of the lens

Between F1 and O

Diminished

Virtual and erect


Image formation by convex lens

Position of the object

Position of the image

Size of the image

Nature of the image

At infinity

At F2

Highly diminished

Real and inverted

Beyond 2F1

Between 2 F2 and F2

Diminished

Real and inverted

At F1

At 2 F2

Same size

Real and inverted

Between 2F1 and F1

Beyond 2F2

Enlarged

Real and inverted

At F1

At infinity

Highly enlarged

Real and inverted

Between F1 and O

On the same side of the object

Enlarged

Virtual and erect


Characteristics of image formed by plane mirror.

- virtual and erect image

- laterally inverted

- same size as an object

- forms at same distance as an object

Uses of  both types of lenses and mirrors.

Concave mirror- Dentist mirror, Solar furnace, Torch light, Head lights of vehicle, etc.

Convex mirror-  Rear view mirror, security mirror  outside the societies, etc.

Concave lens- Eye piece of camera, security lens on door, etc.

Convex lens- Microscope, telescope, Cameras, etc.

Difference between real image and virtual image

Real image

Virtual image

Actual intersection of rays takes place

Rays do not intersect

Always inverted

Always erect

Can be formed on the screen

Cannot be formed the screen

Image forms in either in front of the mirror or on the other side of object in the case of lens

Image is either formed behind the mirror or on the same side of the object in case of lens















 

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