Lens Sign Convention

What is Lens?

A lens is a piece of transparent material, typically shaped like a circle, that uses refraction to focus light rays.

What is Lens Sign Convention Table?

Table for lens sign convention is given below:

Parameter Sign Convention
Object Distance (u) Positive in front of the lens (real object)
Negative behind the lens (virtual object)
Image Distance (v) Positive on the opposite side of the incident light (real image)
Negative on the same side as the incident light (virtual image)
Focal Length (f) Positive for converging lens (convex lens)
Negative for diverging lens (concave lens)

How to Apply Lens Sign Convention in Calculations?

Here’s how you can apply the lens sign convention in calculations,

  • Identify the type of lens
  • Determine the sign of focal length (f)
  • Assign signs to Object Distance (u) and Image Distance (v).

Is v positive or negative in a convex lens?

Image distances (v) in a convex mirror are always positive since the image is always created behind the mirror.

Is v negative in concave lens?

For a concave lens, the image distance (V) is always negative. This is due to the fact that a concave lens’s focal length (f) is always negative.



Lens Sign Convention

A lens in optics is a transparent device with curved surfaces that refract light. It can be converging or diverging based on its shape. The lens sign convention, or Cartesian sign convention, helps determine the nature, size, and position of images formed by lenses accurately. It clarifies the positive and negative signs for object and image distances, focal lengths, and magnifications, crucial for optical calculations and predictions.

Table of Content

  • What is the Lens Sign Convention?
  • Basics of Lens Sign Convention
  • Cartesian Sign Convention
  • Sign Conventions in Different Lenses
  • Lens Maker’s formula
  • Conclusion: Lens Sign Convention

Similar Reads

What is the Lens Sign Convention?

The lens sign convention is a set of rules used in geometrical optics to describe the behavior of light rays as they pass through lenses. These conventions are used to determine the sign conventions for various quantities such as object distance, image distance, focal length, and magnification. The conventions are typically employed in ray diagrams and equations to predict the characteristics of images formed by lenses....

Basics of Lens Sign Convention

The following are some terms that must be understood before starting the lens equation :...

Cartesian Sign Convention

Table for the cartesian sign convention is given as follows:...

Sign Conventions in Different Lenses

The signs of the distances need to be carefully considered based on the type of lens. A short comparison for sign convention between convex and concave lens has been given below:...

Lens Maker’s formula

The Lens Maker’s Formula is an equation used to relate the focal length of a lens to its physical characteristics, such as its curvature and refractive index. This formula applies specifically to thin lenses, which are lenses that have negligible thickness compared to their radii of curvature. The equation is given by:...

Conclusion: Lens Sign Convention

In conclusion, the sign convention for lenses plays a crucial role in understanding image formation. By adhering to these rules, we determine whether distances are positive or negative. Convex lenses have a positive focal length, while concave lenses have a negative focal length. These conventions guide us in analyzing optical systems and their properties....

Solved Problems on Lens Sign Convention

Example 1: An object is placed 20 cm from a converging lens with a focal length of 10 cm. Calculate the image distance and determine the nature (real or virtual), orientation (upright or inverted), and size of the image formed....

Lens Sign Convention: Practice Problems

Problem 1: An object is placed 15 cm in front of a converging lens with a focal length of 10 cm. Calculate the image distance and determine the nature (real or virtual), orientation (upright or inverted), and size of the image formed....

FAQs on Lens Sign Convention

What is Lens?...