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Lenses — Convex and Concave

Lenses refract (bend) light by using curved transparent surfaces. Convex (converging) lenses focus parallel light rays to a focal point. Concave (diverging) lenses spread light rays outward. Lenses are used in glasses, cameras, microscopes, and telescopes.

Last updated: 20 December 2025

★★☆☆☆ Level 2PhysicsOpticslensesconvexconcaveRefractionfocal-point4 min read

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Types of Lenses

Lens typeShapeEffect on light
Convex (converging)Thicker in the middleBends rays towards each other
Concave (diverging)Thinner in the middleBends rays away from each other

The Focal Point

Focal point (F): the point where rays converge (convex) or appear to diverge from (concave).

Focal length: the distance from the centre of the lens to the focal point.

A shorter focal length = a more powerful lens.

Convex Lenses (Converging)

Parallel rays from a distant object converge at the focal point on the other side of the lens.

Object positionImage typeImage size
Beyond 2FReal, invertedSmaller
At 2FReal, invertedSame size
Between F and 2FReal, invertedLarger
Inside FVirtual, uprightLarger (magnifying glass)
Note

A magnifying glass is a convex lens. When you place an object inside the focal length, you get a magnified, upright, virtual image.

Concave Lenses (Diverging)

Parallel rays spread out after passing through a concave lens. The rays appear to come from a virtual focal point on the same side as the incoming light.

Concave lenses always produce a virtual, upright, smaller image.

They are used in spectacles (glasses) for short-sightedness (myopia).

Real vs. Virtual Images

  • Real image: light rays actually meet; can be projected onto a screen.
  • Virtual image: rays only appear to meet (when you trace them back); cannot be projected.

Real world: Glasses for short-sightedness (myopia)

A short-sighted person cannot focus on distant objects because their eye converges light in front of the retina. Concave (diverging) lenses in glasses spread the light rays slightly before they enter the eye, shifting the focal point back onto the retina. The weaker the lens (longer focal length), the milder the short-sightedness.

Real world: Camera lens and photography

A camera lens is a convex (converging) lens. When a distant scene is photographed, light from the scene converges through the lens and forms a real, inverted, smaller image on the camera sensor. The photographer adjusts focus by moving the lens closer to or further from the sensor — changing the effective object distance.

Real world: Magnifying glass in science class

A magnifying glass (convex lens) works when the object is placed inside the focal length. The lens produces a virtual, upright, enlarged image — which is why small print on a map or tiny insects look much bigger through a hand lens.

Tip Where do you see this in real life? Spectacles, contact lenses, cameras, microscopes, projectors, and telescopes all rely on converging or diverging lenses!

Practice Problems

What type of image does a magnifying glass produce?

Show answer
A virtual, upright, magnified image. The object must be placed inside the focal length of the convex lens.

A student is short-sighted. What type of lens is used in their glasses?

Show answer
A concave (diverging) lens. It spreads the light rays so they focus correctly on the retina.

What is the focal length of a lens?

Show answer
The focal length is the distance from the centre of the lens to the focal point — the point where parallel rays converge (convex) or appear to diverge from (concave).