HomeExperiments
Thin Lens Equation
Physics

Thin Lens Equation

The aim of this experiment is to measure the focal length of a thin lens using the conjugate point equation. With this method the determination of the focal length is possible only for thin lenses.

40 min
Light and optics
thin lens equation; image formation; optics

What students learn

  • The focal length of an optical system is a measure of how strongly it focuses or diverges light; a shorter focal length means greater optical power
  • Where the thickness of the lens is small compared to the curvature radius, the thin lens approximation applies and the system can be described by the thin lens equation

The science behind this experiment

Let us assume that the thickness of the lens is small compared to its curvature. For such thin lenses, the path of the light through the lens itself contributes very little to the overall change in the direction of the light rays. Using the so-called thin-lens approximation, we can mathematically describe the properties of a converging lens with the well known thin lens equation.

The focal length f is positive for converging lenses and negative for diverging lenses. The value 1/f is known as the optical power of the lens. Lens power is measured in dioptres, which are units equal to inverse meters (m−1).

The object point and image point of a lens system are said to be conjugate points.

Equipment used

  • Inclined plane with 3 different track terminals — 5491.11
  • Holder for 50 mm diameter lenses and mirrors — 4414.02
  • Slider for holder — 4417.01
  • Prism table — 4418.29
  • Set of 4 Biconvex Spherical Lenses (diam.50 mm),f = +50, +100, +150, +200 mm — 4445.00
  • Set of seven diaphragms — 4414.12
  • White metal screen, squared 140 mm, 10 mm diameter support — 4418.35
  • Holder for slides and diaphragms — 4414.03
  • Projector with 12V 20W halogen lamp — 4414.18
  • Slider for Projectors — 4414.17

Chemicals and reagents

Safety notes

Questions for students

  • Determine the image distance for a 5-cm tall object placed 10 cm from a double convex lens having a focal length of 15 cm.
  • What can we say about the direction of the beam passing through a converging lens? And in diverging lens?
  • What is a famous application of lenses, according to your everyday experience?

What to expect

Disposal

Run this experiment in your classroom

This experiment is part of the ATP Mobile Lab — a self-contained laboratory that turns an ordinary classroom into a working science lab, with over 200 experiments in physics, chemistry, biology, robotics and engineering. Gali, the AI tutor built into ATP Connect, guides students through each step and answers their questions at the bench.

See the Mobile LabTalk to our team