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Magnification

Learn about Magnification, Types of lenses, Magnification by Spherical mirror and its formula, all here in one article.

Introduction

Within a limited range of the electromagnetic spectrum, the retina (inner eye) of the human has been programmed by nature to detect electromagnetic waves. A wavelength ranging from 400 nanometers to 750 nanometers is considered to be visible light of electromagnetic radiation. We learn and interpret the world around us primarily through light and vision.

When something is magnified, it is referred to as magnification. A larger apparent size is not the same as a larger physical size, since it refers to a dramatic increase in visual magnificence. The increase in visual magnificence can be quantified using a magnifying lens. Under magnification, it is also important to consider how an object magnifies in comparison with its actual size. We will examine this concept of magnification and find out how the concept is used in different types of lenses.

By magnifying, we enlarge something’s apparent size, not the actual size. Magnification also refers to the number indicating the extent of the enlargement. A size reduction is sometimes called demagnification or minification when a number is less than one.

When using a microscope, using printing techniques, or digital processing, magnification generally refers to scaling images or visuals up in order to see more detail.

Magnification involves enlarging an object visually using lenses. It is not actually bigger than it was, it only takes on a larger appearance. The concept itself consists of two forms. Two types of magnifying instruments are available: microscopes (which give the appearance of larger objects) and telescopes (which give a clearer and more definition image of distant objects).

The formulas and tools used in both of these two  are different. Microscopical magnification, in addition, allows us to study the structure and composition of objects. Telescopic lenses, however, magnify objects such as stars, planets, galaxies etc.

Types of Magnification lens

Magnification lenses can be divided into two types: 

  • Simple lenses 

  • Compound lenses

Simple Lenses:

A simple lens is used to magnify objects. We also use a simple lens to read newspapers and magnify things in front of us when we want to see them closer. In addition to that, they have the least power (magnification strength) ranging from 2x (2 times) to 6x (6 times). The magnifying glasses are simple to use, and they magnify objects six times. Another example of a simple lens is a magnifying glass or a pair of glasses (spectacles). They also produce images of low quality due to their poor quality.

Compound lenses:

Even though compound and simple lenses both magnify objects, their magnifying powers differ. Furthermore, a compound lens can magnify objects with a higher degree of clarity and projects a clearer image than a simple lens. A simple example illustrates the magnification of both lenses. If you have someone move 5 feet closer to you and he is standing 5 feet away from you, then this is a simple magnification. It would be compound magnification, however, if the same person came closer six times.

Compound lenses are mainly used in microscopes and telescopes. They also focus by using multiple lenses. Apart from that, they can magnify objects 4 times, 10 times, 40 times, 100 times, 400 times and even more. In addition, they enlarge the image to the same extent as the zoom (appearance).

Formula of Magnification

It is rather simple to understand magnification physically, and we can all identify it. Also, it refers to the size of an image of an object. Magnification is defined as the ratio between the height of the image and the height of the object. Additionally, the letter ‘m’ indicates the magnification of the object. Its formula is as follows:

Magnification (m) = h’ / h

In this case, h is the height of the object, while h’ is its height of the image. Further, it should also be considered in relation to the image distance and the object distance. As a result, it could be written as:

                                                        m = v / u

In this case, u represents the distance to the object, and v represents the distance to the image.

It is noteworthy, in this way, that an expression of magnification would be:

                                                   m = h’ / h = v / u

Types of Magnification

  • Linear Magnification- This type of magnification is measured in planes perpendicular to the optical axis and is called linear (also called lateral or transverse). Linear magnifications that are negative signify an inverted image.

  • Angular Magnification- When measured from a particular point in the instrument, a measurement of the angle subtended by an object and its image is known as angular magnification. There are binoculars and magnifiers for this purpose.

Uses of Magnification

  • It performs the same function as a simple magnifier, but removes aberrations from the image with its multiple elements.

  • By magnifying the object behind it, water drops act as a magnifier. Surface tension causes water to form spherical droplets. The spherical shape of the droplet becomes distorted when it is in contact with an object.

Spherical mirror formula

This Spherical Mirror formula analyses the relationship between the focal length of a spherical mirror and the object distance (u) and the image distance (v). A distance between an object and the pole of the mirror is indicated by the letter u. A distance between an image and a mirror’s pole is indicated by the letter v.

In all mirrors, the focal length is measured from the pole of the mirror to the principal focus. In mathematics, the mirror formula is an expression that indicates the relationship between these three quantities. It is given as follows:

                                                          1/u + 1/v = 1/f

Magnification by spherical mirrors

Spherical mirrors create a larger image than the original object due to the increase in size produced by their spherical reflections. This is measured by dividing the height of the image by the height of the object. This is how spherical mirrors can be represented by their magnification, m:

                                                            M = h’/h

Where,

  • h’ is the height of image

  • h is the height of the object

The ratio of image distance to object distance is also the same as Magnification.

                                                            M = – v/u

A positive height exists for objects that are always above their principal axes. There are, however, variations in the height sign for images depending on the type of image formed. Real images need to be taken negatively, while virtual images need to be taken positively.

Conclusion

Within a limited range of the electromagnetic spectrum, the retina (inner eye) of the human has been programmed by nature to detect electromagnetic waves. A wavelength ranging from 400 nanometers to 750 nanometers is considered to be visible light of  electromagnetic radiation. We learn and interpret the world around us primarily through light and vision. When something is magnified, it is referred to as magnification. A larger apparent size is not the same as a larger physical size, since it refers to a dramatic increase in visual magnificence. The increase in visual magnificence can be quantified.