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To Find Image Distance For Varying Object Distances Of A Convex Lens With Ray Diagrams 

Learn how to Find Image Distance for Varying Object Distances of a Convex Lens with Ray Diagrams.

Introduction

A lens is an object made from clear glass that is utilised to focus or diverge light rays from a certain point in order to create a picture of an object. Convex lenses, also known as converging lenses, and concave lenses, also known as diverging lenses, are two general categories of lenses in physics. The pictures of an item are created using these lenses. But the type of lens being used and how the item is positioned in relation to the lens have a significant impact on the images that are produced. In order to find the image distance for varying object distances of a convex lens with ray diagrams, first we have to understand concave lenses.

 

Definition of Convex Lens

Convex lenses, also known as converging lenses, are those in which the light rays go parallel to the lens’s major axis and then come together, or converge. A convex lens may be recognised based on its shape, its thickness in the centre, and how it tapers toward the edges.

 

Steps to Find Image Distance for Varying Object Distances of a Convex Lens with Ray Diagrams

 

Objective: Using Ray Diagrams to Determine Image Distance for Varying Object Distances of a Convex Lens

Devices: A convex lens with a focal length of 12 to 20 cm, a measurement scale for measurement, An optical table, a needle, and a candle.

Theory 

Lens Formulation

It is the connection between the item space (designated as “d”), the space of the image (designated as “e”), and the focal length (designated as “f”). It may be displayed as,

[1/f] = [(1/e) – (1/d)]

Where, the f= focal length, e= space of the image, and d= the space between an item’s and lens’s optical centre.

Procedures and Observations

 

  1. When d = infinity, e will be equivalent to f, which stands for focal length, i.e., e = f.As represented in figure (a), on another side, pictures are created when light rays move parallel to one another. This true, tiny, and inverted picture is created on another side of the lens.
  2. The image shall be produced in the middle of F and 2F if any item can be positioned beyond 2F. The image shall be tiny, inverted, and created on another side of the lens, as seen in figure (b).
  3. The focal lengths of the d and e will be doubled if the item is positioned at point 2F. The created image will be on another side of the lens, with similar dimensions to the item, but inverted, as shown in figure (c).
  4. The image that will be created if the item is positioned exactly halfway in the middle of the F and 2F will be true, reversed, and greater than the dimension of the item. It is visible in figure (d).
  5. The picture will be generated on another side of the lens and will be as true, reverse, and enormously larger in dimension if d equals f and the item is placed at point F. This is demonstrated in figure (e).
  6. Between points C and F, an object can be inserted. In that case, the created image will be upright, virtually larger in dimension, and on the opposite side of the lens. The fact that this image cannot be displayed on a screen is its biggest drawback. It is shown in figure (f).

 

FAQs

Q.1. What exactly is a convex lens?

Ans. Those lenses in which the light rays go parallel to the lens’s major axis and then come together or converge.

Q.2. Explain the primary axis.

Ans. The primary axis is the line that passes through the centre of the lens and is also perpendicular to it.

Q3. What is the objective of this study?

Ans. Using ray diagrams to determine the image distance of a convex lens for varying object distances.

Q4. What image is formed if an item is positioned exactly halfway in the middle of F and 2F?

Ans. The image formed when the object is positioned exactly halfway in the middle of F and 2F will be true, reversed, and greater than the dimension of the item.

Q5. What image shall form if an item is positioned beyond 2F?

Ans. The image shall be on another side of the lens. It will be of similar dimensions but up and down.

Q6. What is the measure of the space difference between the centre of the lens and the point of meeting of the rays after reflection?

Ans. The space difference between the centre of the lens and the point of meeting of the rays after reflection is taken to be in the range of 15 to 20 cm.

 

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