Light – Reflection and Refraction

  • Light is the form of energy that provides the 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.

PROPERTIES OF LIGHT

  • Electromagnetic waves do not require any medium to travel.
  • Light tends to travel in a straight line.
  • Light has dual nature i.e. waves as well as particles.
  • Light casts shadow.
  • Speed of light is maximum in vaccum. Its value is 3 × 108 ms-1.
  • When light falls on a surface, the following may happen:
    (i) Reflection
    (ii) Refraction
    (iii) Absorption

REFLECTION

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

IMAGE FORMED BY PLANE MIRROR

Characteristics of Image formed by Plane Mirror

(i) Virtual and erect. 
(ii) Size of the image is equal to the size of the 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 so that it can be read correctly in the rear view mirror of vehicles going in front of it.

SPHERICAL MIRRORS

→ Mirrors whose reflecting surface is curved.

TYPES OF SPHERICAL MIRRORS

(i) Properties of Concave mirror
• Reflecting surface is curved inwards.
• Converging mirror

(ii) 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 centre of the spherical mirror.
  • Aperture (MN): It is the effective diameter of the spherical mirror.
  • Center of Curvature (C): The centre of the hollow glass sphere of which the mirror was a part.
  • Radius of Curvature (R): The distance between the pole and the centre 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

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

RAY DIAGRMAS FOR IMAGES FORMED BY CONCAVE MIRROR

(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

Uses of Concave Mirror

(i) Used in torches, searchlights and vehicle headlights to get a powerful parallel beam of light. 
(ii) Concave mirrors are used by dentists to see large images of patients’ teeth .(Teeth have to be placed between pole and focus). 
(iii) Concave mirror is used as a shaving mirror to see a larger image of the face. 
(iv) Large concave mirrors are used to concentrate sunlight to produce heat in a solar furnace. 

RAY DIAGRMAS FOR IMAGES FORMED BY CONVEX MIRROR

(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.

Uses of Convex Mirror

(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. 

SIGN CONVENTION FOR REFLECTION BY SPHERICAL MIRROR

(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

MIRROR FORMULA

  • 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.

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