The Lens Laboratory

Drag the yellow object along the axis, change the focal length, and watch principal rays converge or diverge in real time.

30 cm
15 cm
8 cm
Through optical centre
Parallel to axis
Through focus
Project onto virtual screen
F₁F₂2F₁2F₂OObjectImage

Tip: drag anywhere on the canvas to move the object. Scroll or pinch to zoom, shift-drag (or right-drag) to pan, and tap the home icon to reset the view.

Current case

At 2F₁

Image at 2F₂ · same size · real & inverted.

Terrestrial Telescope
Real
Inverted
same

Object distance

30 cm

Image distance

30.00 cm

Object height

8 cm

Image height

-8.00 cm

Magnification

-1.00

Focal length

15 cm

Lens formula

\(\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}\)\(\dfrac{1}{30.00} - \dfrac{1}{-30.00} = \dfrac{1}{15.00}\)

Magnification

\(m = \dfrac{v}{u} = -1.00\)