Mirror Formula and Magnification

Introduction

In simple words, a reflecting surface is a mirror. The research about mirrors dates back centuries, in Germany, mirrors were first created 200 years ago. Famous chemist Justus Von Liebig discovered mirrors in the year 1835, where the transparent glass was converted into mirrors by applying a coating of silver on one side of it. There are several proofs of using polished metal surfaces as mirrors in ancient civilizations. There are some types of mirrors that can reflect sound, which is an intriguing feature of mirrors, known as acoustic mirrors. In World War 2, those that could hear the sounds made by enemy aircraft were used.

What is Mirror?

A reflecting surface is a mirror. The law of reflection governs how a mirror functions. According to the law of reflection, when a light ray strikes a reflective surface, the incident light ray, the reflected light ray, and the normal all lie in the same plane, and the angle of incidence and angle of reflection are both equal.

Improve your Science concepts. Study Science Subject for classes 6th, 7th, and 8th.

Types of Mirrors

There are three types of mirrors that are widely used

a. Plane Mirrors

A smooth reflecting flat surface characterises plane mirrors. We utilise these common mirrors most frequently in our daily life. The reflection of the image in a plane mirror is in the same proportion as the original, but the images are inverted from left to right.

b. Convex Mirrors

Convex mirrors are spherical mirrors. These mirrors have an outward curvature. Convex mirrors provide a simulated, erect, and reduced image. These also go by the name of diverging mirrors.

c. Concave Mirrors

Concave mirrors are spherical mirrors as well, but they have an inward curve. The positioning of the object affects the concave mirror’s ability to produce an image. These also go by the name of converging mirrors.

Mirror Formula

The relationship between an object’s distance, an image’s distance, and the focal length of the mirror is given by the mirror equation/mirror formula. If the distance between the object and the mirror is u, the distance between the image and mirror is v, and f is the focal length of the mirror. Then the mirror formula can be expressed as

Mirror Formula

                                                                                                                      1⁄f = 1⁄u + 1⁄v

What is Magnification?

Magnification is an increase in the size of the image that a spherical mirror produces about the size of the item. The height of the picture to the height of the object is known as the magnification ratio.

Magnification Formula for the Mirror?

The magnification formula of the mirror can be given as,

                                                                                                m = h‘⁄ h

Where m is the magnification, h’ is the height of the image, and h is the height of the object.

The Magnification Formula of the Mirror can also be given as,

                                                                                           m = –v ⁄ u

where m is the magnification, v is the distance between the image and mirror, and u is the distance between the object and mirror.

Therefore, if the height of the object and image are equivalent, then the magnification will be equal to 1. Magnification will be greater than 1, or the image will be enlarged, if the image size is larger than the object size. Image size will be reduced if the image is smaller than the object, or if the magnification is less than 1.

Concave mirrors can either generate an erect or inverted picture depending on the object’s location, while convex mirrors always provide an upright image. As a result, depending on where the item is maintained, the magnification of a convex mirror is always positive, whereas the magnification of a concave mirror can be either positive or negative. Convex mirrors usually create pictures with lower quality, therefore their magnification is less than 1.

Summary

Concave, convex, or plane surfaces can all reflect light, including mirrors. The relationship between an object’s distance, an image’s distance, and the focal length of the mirror are known as the “mirror equation” or “mirror formula.” Magnification is an increase in the size of the image that a spherical mirror produces about the size of the item.

Frequently Asked Questions (FAQs)

1.What is the Focal Length of a Mirror?

Ans: Focal length is the distance between the Centre of the mirror and the focus of the mirror. And Focus is the point through which the reflected light rays pass when incident light rays are parallel to the principal axis. The focus is on the midpoint of the pole and centre of curvature. We can find the focal length of any mirror using the below formula

                                                                                                           1⁄f = 1⁄u + 1⁄v

In most cases, the focal length is given in millimeters/centimeters. We may determine the angle of view, how much of the scene will be reflected in the mirror, and the mirror’s magnification by looking at the focal length.

2. What is Normal?

Ans: Normal is a line that is drawn perpendicular to the mirror’s surface. The term “Normal line” refers to this line. The incident angle and reflected angle are split into two equal angles by the normal line. It is a fictitious line. The angle of incidence and angle of reflection are terms used to describe the angle between an incident ray and the normal and the angle between a reflected ray and the normal, respectively. To understand what occurs when the angle of incidence, angle of reflection, and angle of refraction vary, a normal is drawn.

3. What is the relation between Focal Length and Magnification?

Ans: Magnification decreases as focal length increases, and thus the mirror magnification is inversely related to the focal length of the mirror. 

Since, the mirror formula can be expressed as,

                                                                     1⁄f = 1⁄u + 1⁄v

And the formula for the magnification of the mirror is,

                                                                   m = –v ⁄ u

Thus, by combining the above two equations, we can get,

                                                                     m = –f ⁄ f-u

Therefore, mirror magnification decreases with increasing focal length, while mirror magnification increases with decreasing focal length. The relationship between the mirror’s magnification and focal length is shown above.

Leave a Reply

Your email address will not be published. Required fields are marked *