Lens Formula | Spherical lens formula

Last updated on April 11th, 2023 at 05:19 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 formula can 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.

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