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delete UPSC Sample Notes [English]

ii. Reflection of Light: Understanding Spherical Mirrors and Their Optical Secrets

Reflection of light: Shaping Our Perception

Light reflection is the phenomenon where light waves encounter a surface and bounce back. This fundamental process shapes our perception of the world, enabling visibility. Reflection of light is crucial in various fields, from optics to daily experiences, impacting how we see objects and interpret our surroundings.

Reflection of Light with a focus on Spherical Mirrors

  • Changes in direction through Reflective surfaces: Light falling on shiny objects changes the direction of light. 
    • Example: A shining stainless steel plate or a shining steel spoon can change the direction of light. 
    • The surface of water can also act like a mirror and change the path of light.
  • Spherical Reflection: Applying Universal Laws of Light on diverse Surfaces: The laws of reflection, specifically the Reflection of light, are applicable to all types of reflecting surfaces including spherical surfaces. 
  • Spherical Mirror: Curved Reflections in Optics: The most commonly used type of curved mirror is the spherical mirror. 
    • The reflecting surface of such mirrors can be considered to form a part of the surface of a sphere.
    • Such mirrors, whose reflecting surfaces are spherical, are called spherical mirrors.

What are the key characteristics of Spherical Mirrors and how do they influence the Reflection of Light?

  • A spherical mirror, whose reflecting surface is curved inwards, that is, faces towards the centre of the sphere, is called a concave mirror. 
    • A spherical mirror whose reflecting surface is curved outwards, is called a convex mirror.
  • Pole Point: Center of Spherical Mirrors: The centre of the reflecting surface of a spherical mirror is a point called the pole. 
    • It lies on the surface of the mirror. 
    • The pole is usually represented by the letter P. 
  • Centre of curvature in Spherical Mirrors: 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. 
    • It is represented by the letter C. 

  • Radius of curvature in Spherical mirrors: The centre of curvature is not a part of the mirror because it lies outside its reflecting surface. 
    • The centre of curvature of a concave mirror lies in front of it. However, it lies behind the mirror in case of a convex mirror. 
    • 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. 
    • It is represented by the letter R. The distance PC is equal to the radius of curvature.
  • Axis Alignment: Principal Axis of Spherical Mirrors: An imaginary straight line passing through the pole and the centre of curvature of a spherical mirror is called the principal axis. 
    • The principal axis is normal to the mirror at its pole. 
  • Focal length Power of Concave Mirrors: By holding a concave mirror in hand and directing its reflecting surface towards the Sun above a paper can make the paper catch fire. 
    • This is because the light from the Sun is converged at a point, as a sharp, bright spot by the mirror. 
    • The spot of light is the image of the Sun on the sheet of paper. This point is the focus of the concave mirror. 
    • The heat produced due to the concentration of sunlight ignites the paper. 
    • The distance of this image from the position of the mirror gives the approximate value of focal length of the mirror. 
  • Convergence Point: Principal Focus of Concave Mirrors: A number of rays parallel to the principal axis are falling on a concave mirror. Observe the reflected rays. 
    • They are all meeting/intersecting at a point on the principal axis of the mirror. 
    • This point is called the principal focus of the concave mirror. 
  • Focal Perspectives: Principal Focus of the Convex Mirror: The reflected rays appear to come from a point on the principal axis. 
    • This point is called the principal focus of the convex mirror. 
  • From Poles to Focus: Focal Length in Spherical Mirrors: The principal focus is represented by the letter F. 
    • The distance between the pole and the principal focus of a spherical mirror is called the focal length. 
    • It is represented by the letter f. 
  • Aperture of Spherical mirrors: The reflecting surface of a spherical mirror is by-and-large spherical. The surface, then, has a circular outline. 
    • The diameter of the reflecting surface of a spherical mirror is called its aperture. 
    • Distance MN represents the aperture. 
  • A relationship between the radius of curvature R, and focal length f, of a spherical mirror is represented as R = 2f. 
    • This is because for spherical mirrors of small apertures, the radius of curvature is found to be equal to twice the focal length. 
    • This implies that the principal focus of a spherical mirror lies midway between the pole and centre of curvature.

These optical principles naturally involve reflection of light.

a) Concave Mirror b) Convex Mirror