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Physics

Converging lens

Geometric optics · Thin lenses

3D cutaway of the converging lens Open the interactive 3D model →

Why does a magnifying glass show things bigger up close, but upside down when you hold it far away?

A converging lens is thicker in the middle and bends light towards a single point called the focus. Where you put an object compared with that focus decides what you see: an upside-down picture you can catch on a screen, or a right-way-up, bigger picture you see by looking through the lens.

A converging lens refracts light so that rays parallel to its axis meet at the focal point, and it forms images whose position and size follow the thin-lens equation 1/u + 1/v = 1/f. Depending on where the object is, the image is real and inverted or, inside the focal length, virtual, upright and magnified.

Key facts

Thin-lens equation
1/u + 1/v = 1/f (real-is-positive)
Magnification
m = −v/u
Model focal length
+6 cm (converging), −6 cm (diverging)
Lens power
P = 1/f; f = 6 cm → 16.7 D
Object at 2F
Image at 2F′, same size, inverted
Model scale
1 unit = 10 cm; 1 tick = 1 cm

Parts you can explore (11)

In the 3D model

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