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Convex Lens Image Formation

Exam

Avantika Bhardwaj

Updated on 07th November, 2024 , 5 min read

What is Convex Lens? - The convex lens is a lens that converges light rays that are parallel to its principal axis (i.e. converges incident rays towards the principal axis) and is relatively thick in the center and thin at the lower and upper edges. The edges are curved outward, not inward. It is used in front of the eye to sharply bend incoming light, causing the focal point to shorten and the light to focus properly on the retina. 

What is Convex Lens Principle?

When light passes through a convex lens, it is bent or refracted towards the center of the lens. The amount of bending depends on the curvature of the lens and the angle of incidence of the light. The angle of incidence is the angle between the incoming light ray and the normal, which is an imaginary line perpendicular to the surface of the lens.

The bending of light causes the light rays to converge towards a focal point on the opposite side of the lens. The distance between the center of the lens and the focal point is called the focal length. The focal length of a convex lens depends on the curvature of the lens and the refractive index of the material it is made of.

Why is Convex Lens Called a Converging Lens?

  • A converging lens is one that converges a parallel beam of light on a point known as the principal focus. 

Related Topics:

Lenses are spherical materials with one or more spherical surfaces. The two types of lenses bounded by two spherical surfaces are convex lenses (or converging lenses) and concave lenses (or diverging lenses).

  • Images Formed by Lenses
  • A lens is a piece of transparent thick glass with two spherical surfaces. It is an optical device that allows light rays to converge or diverge before transmitting.

Image Formation by Convex Lens: Possibilities 

In the case of a convex lens, there are six possible object positions:

  • Object at Infinity
  • Beyond C
  • Between C and F
  • Object at C
  • Object at F
  • Between F and O

Image Formation by Convex Lens

The image formation by convex lenses can be demonstrated by:

The position of the object 

The position of the image formed

The nature of the image formed

The relative size of the image formed

At infinity

F2 is the second focus.

Real and inverted image

Highly diminished, point-sized image

Beyond 2F1

Between the second focus, F2, and 2F2

Real and inverted image

Diminished image

At 2F1

At 2F2

Real and inverted image

Same size as the object

Between the first focus, F1, and 2F1

Beyond 2F2

Real and inverted image

Enlarged image

At the first focus, F1

At infinity

Real and inverted image

Infinitely larger than the size of the object, or a greatly enlarged image

Between the first focus, F1, and optical center O 

The resulting image will be on the same side as the object.

Virtual and erect image

Enlarged image

Related Topics:

Image Formation by Convex Lens: When the object is placed at Infinity

infinity

  • The image formed by the convex lens will be at the second focus, F2, when the object is placed at infinity.
  • The nature of the image obtained will be a real image inverted. 
  • In addition, the size of the formed image will be greatly reduced, similar to the size of a point.

Image Formation by Convex Lens: When the object is placed beyond 2F

infinity

  • When the object is placed beyond 2F1, the image formed by the convex lens is between F2 and 2F2.
  • The nature of the image obtained will be a real image inverted. 
  • In addition, the size of the image formed will be reduced.

Image Formation by Convex Lens: When the Object is placed at 2F1

infinity

  • When the object is positioned at 2F1, the image formed by the convex lens is positioned at 2F2. 
  • The nature of the image obtained will be a real image inverted. 
  • Furthermore, the image formed will be the same size as the object.

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Image Formation by Convex Lens: When the object placed is in between F1 and 2F1

infinity

  • When the object is positioned between F1 and 2F1, the image formed by the convex lens extends beyond the point, 2F2. 
  • The nature of the image obtained will be a real image inverted. 
  • In addition, the size of the image formed will be enlarged12.

Image Formation by Convex Lens: When the object is placed at the first focus, F1

infinity

  • The image formed by the convex lens will be at infinity when the object is placed at the first focus, F1. 
  • The nature of the image obtained will be a real image inverted. 
  • Furthermore, the image formed will be infinitely larger than the size of the object or will be greatly enlarged.

Image Formation by Convex Lens: When the object is placed between the first focus, F1, and the optical center O of the lens

infinity

  • When an object is placed between the convex lens's first focus, F1, and the optical center O, the image formed by the convex lens will be on the same side as the object. 
  • The image obtained will be virtual in nature and will be in erect form.
  •  In addition, the size of the image formed will be enlarged.

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Image Formation by Convex Lens: Uses

infinity

These are used for a variety of purposes in our day-to-day lives. For example,

  • The lens in human eyes.
  • A magnifying glass. 
  • It is used to correct Hypermetropia or long-sightedness.
  • It is used in cameras to focus light and create a clear and crisp image.
  • More broadly, these are frequently used in compound lenses, which are found in a variety of instruments such as magnifying devices such as microscopes, telescopes, and camera lenses.
  • A simple version of one of these lenses can focus light into an image, but the image will be of poor quality. It is preferable to use both types of lenses to correct distortions and aberrations.

Image Formation by Convex Lens: Things to Remember

  • Convex lenses are lenses formed by joining two spherical surfaces that bulge outward.
  • Concave lenses are formed by joining two spherical surfaces in such a way that they curve inward.
  • Lenses are spherical materials with one or more spherical surfaces.
  • The lenses create images based on the principle of light refraction.

Frequently Asked Questions

What is the image formed by convex lens?

A convex lens creates a virtual image of an object that is kept between the focus (F1) and the lens' optical center. As a result, based on the position of the object, it can generate both real and virtual images.

What images are formed by convex concave lenses?

We can have a reduced inverted image, a small inverted image, an enlarged inverted image, and an enlarged erect image.

Is image formed by convex lens positive or negative?

If the object is placed between the focus and the optical center and the distance between them is less than the focal length, the image formed in the convex lens is positive and virtual.

What is a convex lens called?

When parallel rays of light strike a convex lens, they converge and meet at a point on the other side. As a result, the convex lens is also known as a converging lens.

Why is the human eye convex?

Some lenses converge light rays, while others diverge light rays. The light that enters our eyes must be focused at a single point.

What is a convex lens used for?

A convex lens is a type of lens that bulges outward in the middle and is thicker at the center than at the edges. It is used to converge light rays and focus them to a point. Convex lenses have numerous applications in various fields, including eyeglasses, cameras, telescopes, microscopes, projectors, magnifying glasses, binoculars, headlights, and solar power systems.

How does a convex lens work?

A convex lens works by bending and converging light rays that pass through it. When parallel rays of light enter a convex lens, they are refracted or bent toward the center of the lens. The degree of bending depends on the shape of the lens and the angle of incidence of the light rays. As a result, the light rays converge or come together to form an image.

What is the focal length of a convex lens?

The focal length of a convex lens is the distance between the center of the lens and its focal point. It is the distance at which parallel rays of light converge after passing through the lens. The focal length is determined by the shape of the lens and can be used to calculate the magnification and image distance of the lens.

What is the difference between a convex lens and a concave lens?

A convex lens bulges outward in the middle and is thicker at the center than at the edges, while a concave lens is thinner at the center than at the edges and bulges inward in the middle. A convex lens converges light rays and focuses them to a point, while a concave lens diverges light rays and spreads them out.

How is a convex lens made?

A convex lens can be made from a variety of materials, including glass, plastic, and acrylic. The lens is shaped by grinding and polishing the material to form a smooth, curved surface. The curvature of the lens determines its focal length and magnifying power. Convex lenses can also be manufactured using a molding process, in which the lens is formed by heating and shaping the material.

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