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Lens Formula Calculator

Lens Formula Calculator

cm
cm
cm

What is the Lens Formula?

The Lens Formula is a fundamental equation in optics that describes the relationship between the object distance (u), image distance (v), and the focal length (f) of a lens. It is widely used in physics education, optical instrument design, and real-world applications such as cameras, microscopes, telescopes, and eyeglasses.

The standard lens formula is:

1/f = 1/v + 1/u

Here, f represents the focal length of the lens, u is the distance between the object and the lens, and v is the distance between the image and the lens. The sign convention is very important in optics, but for basic academic calculations, this calculator follows the commonly used Cartesian sign convention.

How to Use the Lens Formula Calculator

This calculator is designed to make lens calculations quick and error-free. You only need to enter any two known values, and the calculator will automatically compute the third.

  • Enter object distance (u) if known
  • Enter image distance (v) if known
  • Enter focal length (f) if known
  • Leave ONE field empty
  • Click Calculate

The calculated result will be highlighted clearly, making it easy for students to identify the answer.

Example Calculation

Suppose an object is placed at a distance of 30 cm from a convex lens, and the image is formed at a distance of 60 cm. To find the focal length:

1/f = 1/60 + 1/30

1/f = 1/60 + 2/60 = 3/60

f = 20 cm

By entering u = 30 cm and v = 60 cm in this calculator, the focal length is instantly computed as 20 cm.

Why This Calculator is Useful

The Lens Formula Calculator is extremely helpful for:

  • School and college physics students
  • Competitive exam preparation (JEE, NEET, Olympiads)
  • Quick homework verification
  • Understanding image formation concepts

By eliminating manual calculation errors and sign-confusion, this tool allows learners to focus on conceptual understanding rather than arithmetic.

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