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  1. Glossary
  2. /Physics
  3. /Lens Formula

What is Lens Formula?

In short

The thin lens formula connects the object distance uuu, the image distance vvv and the focal length fff of a lens: 1v−1u=1f\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}v1​−u1​=f1​.

In simple words

Measure all distances from the optical centre of the lens, with the direction of the incident light as positive. A convex lens has a positive fff and a concave lens has a negative fff. The ratio vu\dfrac{v}{u}uv​ gives the magnification. The sign of vvv tells you the kind of image: positive for a real image on the far side, negative for a virtual image on the object's side.

Example

A convex lens has f=+10 cmf = +10\ \text{cm}f=+10 cm and the object is at u=−30 cmu = -30\ \text{cm}u=−30 cm. Then 1v=110−130=115\dfrac{1}{v} = \dfrac{1}{10} - \dfrac{1}{30} = \dfrac{1}{15}v1​=101​−301​=151​, so v=+15 cmv = +15\ \text{cm}v=+15 cm, a real image on the other side of the lens.

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Related terms

  • Mirror Formula
  • Refractive Index
  • Spherical Mirror

← All glossary terms

Learn it in

  1. Lenses and Their PowerClass 9 to 10
  2. Lenses, Prisms and DispersionClass 11 to 12
All lessons on this topic →

Practise

  1. A student examines a slide of pond algae with a compound microscope…Hard
  2. A prism of angle 70° is made of glass of refractive index 1.5…Hard
  3. In a spectrometer experiment a student measures a glass prism with an angle of 45.0°…
Medium
  • A thin prism of crown glass has an angle of 5.0°…Easy
  • All problems on this topic →

    Quick questions

    1. The figure shows a parallel beam of width 6.0 cm that falls on a convex lens L1. A…Advanced
    2. Six statements about optical instruments are given below. (i) In normal adjustment, a…Advanced
    3. Two thin lenses are placed in contact on a common axis. Four such pairs are listed in…Hard

    More Physics terms

    1. Acceleration
    2. Acceleration Due to Gravity (g)
    3. Adiabatic Process
    4. Amplitude
    5. Angle of Incidence
    6. Angle of Reflection
    All Physics terms →

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