Concave Lens - Definition, Formula, Image Formation & Uses

20 May.,2024

 

Concave Lens - Definition, Formula, Image Formation & Uses

The lens is one of the significant discoveries made by humans. Although one can’t say when or how the lens was discovered, it is clear that ancient people realized that they could manipulate light using a piece of glass at some point in the past. For example, humans used a lens to make distant objects appear nearer; small objects appear larger and blurry objects appear clear (i.e. magnifying glasses and corrective lenses). Lenses used to accomplish these tasks fall into two categories of simple lenses as Convex and Concave Lenses. In this article, we will be closely looking into the Concave lens and its characteristics.

Concave Lens - Definition, Formula, Image Formation & Uses

The lens is one of the significant discoveries made by humans. Although one can’t say when or how the lens was discovered, it is clear that ancient people realized that they could manipulate light using a piece of glass at some point in the past. For example, humans used a lens to make distant objects appear nearer; small objects appear larger and blurry objects appear clear (i.e. magnifying glasses and corrective lenses). Lenses used to accomplish these tasks fall into two categories of simple lenses as Convex and Concave Lenses. In this article, we will be closely looking into the Concave lens and its characteristics.

What is a Concave Lens?

A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image. It can form both real and virtual images. Concave lenses have at least one surface curved inside. A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

Watch the video below to learn how and why spectacles/contact lenses are used to correct vision defects and how exactly they affect the human eye. The demonstration in this video uses lasers and lenses to simulate what happens inside the human eye. For example, you will see how an eye with myopia (shortsightedness, nearsightedness) is different from a normal eye in the video. The demonstration also shows why a diverging lens is used to correct shortsightedness.

Watch the video and learn about the working of spectacles

Concave Lens Formula

The lens formula is used to identify the nature and the position of the image formed by the concave lens. The lens formula is expressed as follows:

\(\begin{array}{l}\frac{1}{f}=\frac{1}{v}+\frac{1}{u}\end{array} \)

where f is the focal length, v is the distance of the image from the centre and u is the distance of the object from the centre.

Similarly, the magnification of the image is given by the equation,

\(\begin{array}{l}M=\frac{h_{i}}{h_{o}}=\frac{v}{u}\end{array} \)

where M is the magnification, hi is the height of the image and ho is the height of the object.

Image Formation in Concave Lens

An object placed at infinity forms a virtual image at the focus. The size of the image is much smaller than that of the object.

An object placed at a finite distance from the lens forms a virtual image between the pole and the focus of the convex lens. As a result, the size of the image is smaller than that of the object.

Watch the video and understand the concepts of Lens Formula, Magnification and Power of Lens

Uses of Concave Lens

Some uses of the concave lens are listed below:

Used in Telescope

Concave lenses are used in telescopes and binoculars to magnify objects. As a convex lens creates blurs and distortion, telescope and binocular manufacturers install concave lensesconcave lenses before or in the eyepiece so that a person can focus more clearly.

Used in Eye Glasses

Concave lenses are most commonly used to correct myopia which is also called nearsightedness. The eyeball of a person suffering from myopia is too long, and the images of faraway objects fall short of the retina. Therefore, concave lenses are used in glasses which correct the shortfall by spreading out the light rays before it reaches the eyeball. This enables the person to see far away objects more clearly.

Used in Peepholes

Peepholes or door viewers are security devices that give a panoramic view if objects outside walls or doors. A concave lens is used to minimize the proportions of the objects and gives a wider view of the object or area.

To know more uses of a concave lens, click Concave Lens Uses.

Similar articles that you might be interested in:

  • Convex Lens
  • Uses of Convex Lens
  • Difference Between Convex and Concave Lens

Watch the video and revise all the important concepts in the chapter Light Reflection and Refraction Class 10

Frequently Asked Questions – FAQs

Q1

What is Concave Lens?

A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image.

Q2

How do Concave Lens correct Myopia?

A concave lens causes light rays to diverge before they strike the lens of the eye so that the image is formed on the retina.A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image.

Q3

Where are Concave Lens used?

A concave lens is commonly used in telescopes, peephole and eyeglasses.

Q4

Is Concave Lens converging or diverging?

A concave lens is diverging.

Q5

What is the difference between concave and convex lens?

A convex lens is thicker at the centre and thinner at the edges. A concave lens is thicker at the edges and thinner at the centre.

Recommended Videos

Previous year questions in the chapter Light Reflection and Refraction

Theory and important questions of the chapter Light: Reflection and Refraction

Stay tuned to BYJU’S and Fall in Love with Learning!

Test Your Knowledge On Concave Lens!

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Select the correct answer and click on the “Finish” button
Check your score and answers at the end of the quiz

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Relationship between Light and Lens - Why does looking ...

Lenses that make an object look bigger or that enable far-away objects to be seen closer, have been used for more than 2000 years. Some lenses made of polished crystal have been found from the remains of ancient Egypt and Rome. Moreover, it is said that lenses had already been used as a magnifier from around the 2nd century in Europe. In around the 13th century, lenses also came to be used as eyeglasses before being used in a variety of tools such as telescopes, microscopes, and cameras.

But why does an object look bigger or far-away object seem closer by just looking through a lens? Let's see how it works!

★A Piece of Trivia

It is said that the term "lens" was derived from "lentil," which is usually eaten in Europe.

What Are the Characteristics of "Light" That Passes through a Lens?

First, let's learn about the characteristics of "light" that are crucial when getting knowledge about the mechanism of lenses. One of the characteristics of light is the ability to travel in a straight manner and bounce off in a different direction when hitting an object such as a flat mirror. This phenomenon is called reflection. When light is reflected, the incidence angle, which is an angle of the light coming in, and the reflection angle, which is an angle of the reflected light, are equal.

The speed of light is slower in glass or in water as compared to its speed in air. Consequently, when light travels from air into a different substance obliquely, the traveling direction changes at the boundary. This phenomenon is called refraction. For example, when light enters a water surface from air, the incidence angle is bigger than the refraction angle. In contrast, when light travels from water into air, the incidence is smaller than the refraction angle.

Sir Isaac Newton, an English scientist in the 17th century, thought of light as "something similar to small particles (grains)" by observing the characteristics of light. Such observations include light traveling in a straight manner and being reflected upon hitting an object, as well as the fact that light makes sharp-cut shadows. Meanwhile, Christiaan Huygens, a Dutch physicist in the 17th century, thought of light as "waves (wave motion)" by his observation of the properties of light which included the refracting and bending of light around the corners of an obstacle (which is called "diffraction") in the same way as waves. Later, Albert Einstein proved that "Light is like both a particle (photon) and a wave." Reflection and refraction of light take place due to properties that belong to both "particles" and "waves".

What Are the Functions of Lenses?

Lenses are used in eyeglasses, microscopes, cameras, and telescopes, and their functions are to magnify or demagnify images to be seen. A lens bends a light beam at an aimed angle and converges or diffuses bundles of rays by taking advantage of refraction taking place when the light travels from air into glass or plastic. For that purpose, the side geometry of a lens has a spherical figure, which may be roughly divided into two types. One is a convex lens with a thick central part swelled outward and curved, and the other is a concave lens with a thin central part dented inward and curved. The convex lens converges light rays traveling parallel with each other to a point using refraction of light passing through the lens. The concave lens, on the other hand, spreads light rays traveling parallel with each other.

A point where bundles of rays are converged after being refracted through a lens is called a focal point. In concave lenses, the focal point is an extension of the beams of spreading light in a reverse direction. The distance between the lens and the focal point is called focal length. This distance varies depending on the thickness of the lens and the curve of the lens surface. In microscopes, cameras, and telescopes, the focal length is adjusted by combining convex and concave lenses, enabling you to see small objects magnified or to see something far away as if they are close by.

How Do You Make Lenses?

Highly transparent glasses and plastics are used as lens materials. Especially for precision apparatuses such as microscopes, extremely high-quality glass called optical glass is used. Optical glass allows light to pass even if the glass has a thickness of several kilometers.

Normal lenses are processed in the following procedure.

  • Calculate the size, refractive index, and focal length according to the intended usage, and design the thickness of the lens and the shape of the spherical surface.
  • Roughly cut a glass lump with an industrial diamond tool to make a rough shape.
  • Take time to finely polish the rough shape with a dedicated grinding stone, and shape into the spherical surface and the size as designed.
  • Apply a thin coating on the lens surface for antireflection and surface protection.

In addition, manufacturing of lenses with high pressure using a metal mold (press molding) may be applied in the processing of plastic lenses or some glass lenses.

These lens processing technologies are extremely sophisticated and important to support the manufacturing of precision apparatuses such as endoscopes.

★A Piece of Trivia

How precise is the lens polishing technology of Olympus? To give an example of high precise lenses, suppose a lens has the size of Tokyo Dome Stadium; a ballpark. Even an error as small as the diameter of a single hair is unacceptable. That is how precise Olympus's lens polishing technology is!

Lenses Used in Various Situations & Olympus Products

The lenses manufactured as described above are used in many different products and contribute to society. For example, lenses are attached to the distal end of a medical endoscope to be able to see the inside of human body. Olympus endoscopes help doctors to examine the inside of abdomen and to treat the sick tissues.


What is a Concave Lens?

A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image. It can form both real and virtual images. Concave lenses have at least one surface curved inside. A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

Watch the video below to learn how and why spectacles/contact lenses are used to correct vision defects and how exactly they affect the human eye. The demonstration in this video uses lasers and lenses to simulate what happens inside the human eye. For example, you will see how an eye with myopia (shortsightedness, nearsightedness) is different from a normal eye in the video. The demonstration also shows why a diverging lens is used to correct shortsightedness.

Watch the video and learn about the working of spectacles

Concave Lens Formula

The lens formula is used to identify the nature and the position of the image formed by the concave lens. The lens formula is expressed as follows:

\(\begin{array}{l}\frac{1}{f}=\frac{1}{v}+\frac{1}{u}\end{array} \)

where f is the focal length, v is the distance of the image from the centre and u is the distance of the object from the centre.

Similarly, the magnification of the image is given by the equation,

\(\begin{array}{l}M=\frac{h_{i}}{h_{o}}=\frac{v}{u}\end{array} \)

where M is the magnification, hi is the height of the image and ho is the height of the object.

Image Formation in Concave Lens

An object placed at infinity forms a virtual image at the focus. The size of the image is much smaller than that of the object.

An object placed at a finite distance from the lens forms a virtual image between the pole and the focus of the convex lens. As a result, the size of the image is smaller than that of the object.

Watch the video and understand the concepts of Lens Formula, Magnification and Power of Lens

Uses of Concave Lens

Some uses of the concave lens are listed below:

Used in Telescope

Concave lenses are used in telescopes and binoculars to magnify objects. As a convex lens creates blurs and distortion, telescope and binocular manufacturers install concave lenses before or in the eyepiece so that a person can focus more clearly.

Used in Eye Glasses

Concave lenses are most commonly used to correct myopia which is also called nearsightedness. The eyeball of a person suffering from myopia is too long, and the images of faraway objects fall short of the retina. Therefore, concave lenses are used in glasses which correct the shortfall by spreading out the light rays before it reaches the eyeball. This enables the person to see far away objects more clearly.

Used in Peepholes

Peepholes or door viewers are security devices that give a panoramic view if objects outside walls or doors. A concave lens is used to minimize the proportions of the objects and gives a wider view of the object or area.

To know more uses of a concave lens, click Concave Lens Uses.

Similar articles that you might be interested in:

  • Convex Lens
  • Uses of Convex Lens
  • Difference Between Convex and Concave Lens

Watch the video and revise all the important concepts in the chapter Light Reflection and Refraction Class 10

Frequently Asked Questions – FAQs

Q1

What is Concave Lens?

A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image.

Q2

How do Concave Lens correct Myopia?

A concave lens causes light rays to diverge before they strike the lens of the eye so that the image is formed on the retina.A concave lens is a lens that diverges a straight light beam from the source to a diminished, upright, virtual image.

Q3

Where are Concave Lens used?

A concave lens is commonly used in telescopes, peephole and eyeglasses.

Q4

Is Concave Lens converging or diverging?

A concave lens is diverging.

Q5

What is the difference between concave and convex lens?

A convex lens is thicker at the centre and thinner at the edges. A concave lens is thicker at the edges and thinner at the centre.

Recommended Videos

Previous year questions in the chapter Light Reflection and Refraction

Theory and important questions of the chapter Light: Reflection and Refraction

Stay tuned to BYJU’S and Fall in Love with Learning!

Test Your Knowledge On Concave Lens!

Q

5

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button
Check your score and answers at the end of the quiz

Congrats!

Visit BYJU’S for all Physics related queries and study materials

Your result is as below

0

out of

0

arewrong

0

out of

0

are correct

0

out of

0

are Unattempted

Mobile Number

*

If you want to learn more, please visit our website Achromatic Cemented Double Lenses.

Did not receive OTP?

Request OTP on

Name

*

Email ID

*

Grade

*

City

*

Join BYJU'S Learning Program

widgets-close-button

Relationship between Light and Lens - Why does looking ...

Lenses that make an object look bigger or that enable far-away objects to be seen closer, have been used for more than 2000 years. Some lenses made of polished crystal have been found from the remains of ancient Egypt and Rome. Moreover, it is said that lenses had already been used as a magnifier from around the 2nd century in Europe. In around the 13th century, lenses also came to be used as eyeglasses before being used in a variety of tools such as telescopes, microscopes, and cameras.

But why does an object look bigger or far-away object seem closer by just looking through a lens? Let's see how it works!

★A Piece of Trivia

It is said that the term "lens" was derived from "lentil," which is usually eaten in Europe.

What Are the Characteristics of "Light" That Passes through a Lens?

First, let's learn about the characteristics of "light" that are crucial when getting knowledge about the mechanism of lenses. One of the characteristics of light is the ability to travel in a straight manner and bounce off in a different direction when hitting an object such as a flat mirror. This phenomenon is called reflection. When light is reflected, the incidence angle, which is an angle of the light coming in, and the reflection angle, which is an angle of the reflected light, are equal.

The speed of light is slower in glass or in water as compared to its speed in air. Consequently, when light travels from air into a different substance obliquely, the traveling direction changes at the boundary. This phenomenon is called refraction. For example, when light enters a water surface from air, the incidence angle is bigger than the refraction angle. In contrast, when light travels from water into air, the incidence is smaller than the refraction angle.

Sir Isaac Newton, an English scientist in the 17th century, thought of light as "something similar to small particles (grains)" by observing the characteristics of light. Such observations include light traveling in a straight manner and being reflected upon hitting an object, as well as the fact that light makes sharp-cut shadows. Meanwhile, Christiaan Huygens, a Dutch physicist in the 17th century, thought of light as "waves (wave motion)" by his observation of the properties of light which included the refracting and bending of light around the corners of an obstacle (which is called "diffraction") in the same way as waves. Later, Albert Einstein proved that "Light is like both a particle (photon) and a wave." Reflection and refraction of light take place due to properties that belong to both "particles" and "waves".

What Are the Functions of Lenses?

Lenses are used in eyeglasses, microscopes, cameras, and telescopes, and their functions are to magnify or demagnify images to be seen. A lens bends a light beam at an aimed angle and converges or diffuses bundles of rays by taking advantage of refraction taking place when the light travels from air into glass or plastic. For that purpose, the side geometry of a lens has a spherical figure, which may be roughly divided into two types. One is a convex lens with a thick central part swelled outward and curved, and the other is a concave lens with a thin central part dented inward and curved. The convex lens converges light rays traveling parallel with each other to a point using refraction of light passing through the lens. The concave lens, on the other hand, spreads light rays traveling parallel with each other.

A point where bundles of rays are converged after being refracted through a lens is called a focal point. In concave lenses, the focal point is an extension of the beams of spreading light in a reverse direction. The distance between the lens and the focal point is called focal length. This distance varies depending on the thickness of the lens and the curve of the lens surface. In microscopes, cameras, and telescopes, the focal length is adjusted by combining convex and concave lenses, enabling you to see small objects magnified or to see something far away as if they are close by.

How Do You Make Lenses?

Highly transparent glasses and plastics are used as lens materials. Especially for precision apparatuses such as microscopes, extremely high-quality glass called optical glass is used. Optical glass allows light to pass even if the glass has a thickness of several kilometers.

Normal lenses are processed in the following procedure.

  • Calculate the size, refractive index, and focal length according to the intended usage, and design the thickness of the lens and the shape of the spherical surface.
  • Roughly cut a glass lump with an industrial diamond tool to make a rough shape.
  • Take time to finely polish the rough shape with a dedicated grinding stone, and shape into the spherical surface and the size as designed.
  • Apply a thin coating on the lens surface for antireflection and surface protection.

In addition, manufacturing of lenses with high pressure using a metal mold (press molding) may be applied in the processing of plastic lenses or some glass lenses.

These lens processing technologies are extremely sophisticated and important to support the manufacturing of precision apparatuses such as endoscopes.

★A Piece of Trivia

How precise is the lens polishing technology of Olympus? To give an example of high precise lenses, suppose a lens has the size of Tokyo Dome Stadium; a ballpark. Even an error as small as the diameter of a single hair is unacceptable. That is how precise Olympus's lens polishing technology is!

Lenses Used in Various Situations & Olympus Products

The lenses manufactured as described above are used in many different products and contribute to society. For example, lenses are attached to the distal end of a medical endoscope to be able to see the inside of human body. Olympus endoscopes help doctors to examine the inside of abdomen and to treat the sick tissues.


Want more information on Achromatic Cemented Triple Lenses? Feel free to contact us.

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