GEOMETRICAL OPTICS in detail


 

GEOMETRICAL OPTICS



 

in this article

·        Introduction.

·        Reflection of light and its types.

·        Spherical mirrors.

·        Refraction of light and its laws.

 

Introduction

Light is the main focus of this unit. We shall describe phenomena of light such as reflection, refraction and total internal refraction. We will learn hoe images are formed by mirrors and lenses and will discuss working principle of compound microscope and telescope.

Reflection of light

Reflection of light is illustrated in this topic. When a light ray from air along the path .the coming ray is called incident ray. The ray formed between the normal and incident ray is called angle of reflected angle and the angle between the reflected ray and normal is called reflected ray or angle of reflection.

When light travel in a certain medium falls on the surface of another medium, a part of it turns back in the same medium. This is called reflection of light.

Laws of reflection of light

·        The incident ray, the normal, and the reflected ray at the same point of incident all lies at the same plane.

·        The angle of incident is equal to the angle of reflection i.e. I=r.

 

Types of reflection

The nature of reflection depends on the smoothness of the surface. For example, a smooth surface of silver reflects parallel rays of light in one direction only. The reflection by this smooth surface is called regular reflection. Most of the object in every life is not smooth on microscopic level. The rough surface of these object reflect the rays of light in many directions. Such type of reflection is called irregular reflection.

Spherical mirrors

A mirror whose polished, reflecting surface is a part of a hollow sphere of plastic is called a spherical mirror. In a spherical mirror, one of the two curved surfaces is coated with a thin layer of silver followed by a coating of red lead oxide paint. Thus, one side of the spherical mirror is opaque and the other side is a highly polished reflecting surface. Depending upon the nature of reflecting surface, there are two types of spherical mirror as shown below.

·       Concave mirror: a spherical mirror whose inner curved surface is reflecting is called concave mirror. In concave mirror the size of object depend on the position real image. Both virtual and real images can be formed by concave mirror.

·       Convex mirror: a spherical mirror whose outer curved surface is reflecting is called convex mirror. In convex mirror the size of the image is always smaller then they placed object. Only virtual image is formed by the convex mirror.

·       Pole: it is the midpoint of curved surface of spherical mirror. It is also called vertex.

·       Centre of curvature: a spherical mirror is a part of a sphere. The centre of this sphere is called centre of curvature.

·       Radius of curvature: it is the radius of the sphere of which spherical mirror is the part.

·       Principle axis: it is the line joining centre of curvature and pole of the spherical mirror.

·       Focal length: it is the distance from the pole to the principle focus measured along the principle axis. This mean that as the radius of curvature is reduced, so too is the focal length of the reflecting surface.

 

Refraction of light

The bending of light when it passes from denser to rarer medium is called refraction of light.

Law of reflection of light.

·       The incident ray, the refracted ray, and the normal at the point of incidence all lies in the same plane.

·       The ratio of the sine of the angle of incident to the sine of angle of reflection is always equal to a constant. I.e. sin/sin r=constant=n.

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