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Created By : Naaz Fatima

Reviewed By : Phani Ponnapalli

Last Updated : May 18, 2023


The Thin Lens Equation Calculator allows you to compute or analyse the optical properties of a lens. All you have to do now is fill in the relevant inputs and you'll be able to figure out the unknown parameters in fraction of the second.

Choose a Calculation
Object distance:
Image distance:

What do you mean by Thin Lens Equation?

A lens is said to be thin if its thickness is insignificant in contrast to its radius of curvature. When we place something near the lens, the image appears somewhere else. The image's position, size, and inclination, on the other hand, are determined by two factors: the lens' focal length and the original object's position and describes the relationship between the item's focal lens, distance from the object, and image distance.The typical thin lens formula is given by the equation: 1/x + 1/y = 1/f.

Where,

  • f be the focal length
  • x be the distance between the object and center of lens
  • y is the distance between image and center of lens

Convex and concave lenses are the two types of lenses. We can tell the difference between them by looking at the focus length. Converging lenses have a focal length of f > 0, while diverging lenses have a focal length of f<0. The picture appears on the other side of the lens if the image distance is positive, i.e. y>0. This is known as a real image. If the image distance is y<0, the picture appears on the same side of the lens, and it is referred to as a virtual image.

Magnification Lens Equation

We can simply determine the magnification of a produced image using the formula: M=|y|/x,

Where

  • x is the object distance
  • y is the image distance

In general, magnification values should be positive, which is why we chose an absolute number of y that can be positive or negative.

Converging Lens Images

Let's look at five distinct converging lens(f>0) circumstances and see how the image is oriented. They are as follows:

  • If x>2f, the picture is actual (y>0) and appears decreased (M1)
  • If x = 2f, the image is actual (y>0) and the same size as the item (M=1)
  • The image is real (y>0) and seems magnified (M>1) if 2f > x > f
  • If x= f, the image will not appear correctly, and (y->Infinity) will result
  • If (x less than f), the image is virtual(y is less than 0),and magnified(M>1)

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

FAQs on Thin Lens Equation Calculator

1. What is the definition of a thin lens?

A lens is said to be thin if its thickness is insignificant in contrast to its radius of curvature.


2. What is the Thin Lens Formula, and how does it work?

The thin lens formula is given by the equation: 1/x + 1/y = 1/f.

Where,

  • f be the focal length
  • x be the distance between the object and center of lens
  • y is the distance between image and center of lens

 


3. What is the variation between thin and thick contact lenses?

A thick lens has a smaller radius of curvature and is more curved. Thin lenses, on the other hand, are less curved and have a higher radius of curvature.