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REFLECTION OF LIGHT


 LIGHT REFLECTION 

Light is a form of energy, which gives us the power of vision.

In this chapter we will study the phenomena of reflection and refraction using the property of light i.e. straight line propagation (Light wave travel from one point to another, along a straight line).

Ray of light : It is a line in the direction of movement of light.
Beam of light : It is bucnh of rays of light.
Parallel beam : All the rays are parallel.

Reflection of Light
When the light is allowed to fall on highly polished surface, such as mirror, most of the light gets reflected.

Laws of Reflection

1. The angle of incidence is always equal to angle of reflection.

2. The incident ray, reflected ray and the normal to the reflecting surface at the point of incidence lie in the same plane.

Image formed by Plane Mirror (Plane reflecting surface)

1. Virtual (imaginary) & Erect : The image that do not form on screen.
Real images can be recorded on the screen.
2. Laterally inverted (The left side of object appear on right side of image)
3. The size of image is equal to that of object.
4. The image formed is as far behind the mirror as the object is in front of it.

Reflection of light by spherical Mirrors
Mirrors, whose reflecting surface are curved inward or outward spherically are called spherical mirror.
For example – Spoon The curved surface of shinning spoon can be considered as curved mirror.

If it is curved inward Act as concave mirror
If it is curved outward Act as a convex mirror.

Few Basic terms related to Spherial Mirror

  1. Principal axis : Line joining the pole and centre of curvature of the spherical mirror.
  2. Pole : The geometrical central point of the reflecting spherical surface. (aperture), denoted by (P).
  3. Aperture : The width of reflecting spherical surface.
  4. Centre of curvature : The centre of the hollow glass sphere of which the spherical mirror is a part is called as centre of curvature.
  5. Radius of curvature : The distance between the pole and the centre of curvature. i.e.
    PC = R or The radius of the hollow sphere of which the mirror is a part.
  6. Focus point : The point on the principal axis, where all parallel rays meet after reflection is called as Principal Focus or Focus. It is denoted by letter ‘F’.
  7. Focal length : The distance between the pole and focus point i.e. PF = f
  8. Relationship between focal length and Radius of curvature. 

Image Formation by Spherical Mirror

Before we learn the formation of image or ray diagram, let us go through few tips

(a) Remember, a ray of light which is parallel to principle axis always pass through focus (meet at focus) or vice-versa.

(b) A ray of light which passes through centre of curvature (it is also known as normal at the point of incidence on spherical mirror) will retrace their path after reflection.

(c) A ray of light falling on pole get reflected at the same angle on the other side of principal axis.

Note : A ray of light passes through centre of curvature of reflecting spherical surface always act as normal at the point of incidence. If we know the normal we can draw angle of incidence and angle of reflection
 

Note 1 : The image will only form when two or more rays meets at a point. Image formation by a concave mirror for different position of the object.
The ray diagrams given in NCERT Books are also good to be followed.

Image Formation by Concave Mirror

 


Image formation by Convex Mirror




Uses of Concave Mirror
1 Used in torches, search light and headlight of vehicle.
2. Used to see large image of face as shaving mirror
3. Used by dentist to see large images of the teeth
4. Large concave mirror used to focus sunlight (heat) in solar furnaces.

Uses of Convex Mirror:-
Used as rear-view mirror in vehicles because it gives erect image. Italso helps the driver to view large area.

Sign Convention for Reflection by Spherical Mirror

  1. The object is always placed to the left side of mirror.
  2. All distance should be measured from pole (P); parallel to principal axis.
  3. Take ‘P’ as origin. Distances measured

Right of the origin (+x-Axis) are taken positive
Left of the origin (–x-Axis) are taken negative

Perpendicular to and above principal axis (+y-Axis) are taken positive
Perpendicular to and below principal axis (–y-Axis) are taken negative

Mirror Formula




Where,

f = distance between F and Pole ( Focal length)
v = distance of image from Pole
u =distance of object from Pole
R = distance between centre of curvature and pole.


Magnification:-

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

It is denoted by m 



Where, 

h' = image height from principle axis

h = Object height from principle axis


Few tips to remember sign convention for Spherical mirror

fuv
CONCAVE-ve(real)-ve(real)-ve(real)
+ve(virtual)
CONVEX+ve+ve+ve

h – is always +ve
h´ – is +ve for virtual , –ve for Real.

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