# Lens Formula | Spherical lens formula

Last updated on June 15th, 2023 at 04:55 pm

**Lens Formula** – A formula that gives the relationship between image distance (v), object distance (u), and focal length (f ) of a lens is known as the lens formula. *This lens formula applies to both types of spherical lenses: convex lenses as well as concave lenses.*

## Lens Formula | spherical Lens equation

The

lens formulacan be written as :1/v – 1/u = 1/f

where v = image distance,

u = object distance,

and f = focal length.

See solved Lens numerical problems here.

Read: sign convention for Lens

**Difference between the Lens formula and the Mirror formula**

Please note that the lens formula differs from the mirror formula only in the sign between

1/v and 1/u .

The mirror formula is 1/v + 1/u = 1/f whereas the lens formula is 1/v – 1/u = 1/f.It is clear that the mirror formula has a plus sign (+) between 1/v and 1/u whereas the lens formula has a minus sign (–) between 1/v and 1/u.

The values of v and u should be substituted in the lens formula with their proper signs.