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physicsopticsJuly 26, 20265 min read

How Lenses Bend and Focus Light

By the BrainSnail editorial team. How these articles are written and checked, and how to tell us when one is wrong.

Glasses, cameras, microscopes and your eyes all use lenses to control light. A lens does not pull an image through itself like a tiny window. It bends many light rays so they spread out or meet in new places.

Refraction changes a ray's direction

Light changes speed when it passes from one transparent material into another. If it enters at an angle, the change in speed also changes its direction. This bending is called refraction.

A lens has curved surfaces, so rays strike different parts at different angles. The two surfaces work together to redirect the rays in an organised pattern. The exact path depends on the lens shape, the materials involved and the colour of the light.

A ray travelling through the optical centre of a thin lens changes direction very little in a simple diagram. Rays parallel to the main axis behave more dramatically. Their paths reveal whether the lens is converging or diverging. The distance from the centre of the lens to the focal point is called the focal length. A strongly curved lens usually bends light more and has a shorter focal length than a gently curved lens.

Convex and concave lenses act differently

A convex lens is thicker in the middle than at the edges. It bends parallel rays inward so they meet at a focal point. If a distant object sends nearly parallel rays into the lens, a real image can form on the other side. A screen or camera sensor can capture that image.

A concave lens is thinner in the middle. It spreads parallel rays outward. The rays appear to come from a focal point on the same side as the object, producing a virtual image that cannot be projected onto a screen by that lens alone.

The object distance matters. With a convex lens, an object beyond the focal length can produce an inverted real image. An object placed closer than the focal length produces an upright, magnified virtual image. This is how a simple magnifying glass works. The same piece of glass can therefore behave differently because you moved the object. Cameras and eyes adjust image formation in different ways. A camera can move lens elements, while the human eye changes the shape of its flexible lens to focus objects at different distances.

Lens diagrams tell the story

You can predict an image by tracing a few principal rays. Real lenses can have imperfections, but the simple model explains the main behaviour. Where the rays meet tells you the image position. Its orientation and size can then be read from the diagram.

  • Draw the main axis and mark the focal points.
  • Send one ray parallel to the axis.
  • Refract that ray through or away from the focal point.
  • Draw a ray through the optical centre.
  • Find where the rays or their backward extensions meet.

The takeaway

Lenses form images through refraction at curved surfaces. Convex lenses bring rays together, while concave lenses spread them apart. Trace a few important rays and check the object distance, and you can predict where an image forms and what it will look like.

Practise this

Questions from Light and Optics

Reading about something is not the same as being able to recall it. These are real questions from the Light and Optics unit in our Physics track, answers and explanations included. The unit has 119 in total across 20 steps.

  • Multiple choiceLevel 2

    1. When white light passes through a prism, which colour bends (refracts) the most?

    • Violetcorrect
    • Red
    • Yellow
    • Green

    Violet light has the shortest wavelength and is refracted the most, while red bends the least.

  • Choose all that applyLevel 2

    2. Which of the following are evidence that light behaves as a wave? Select all that apply.

    • Interference fringes in the double-slit experimentcorrect
    • Diffraction of light spreading through a narrow gapcorrect
    • Light travelling in straight lines to cast a sharp shadow
    • A ball bouncing off a solid wall

    Interference and diffraction can only be explained by a wave model; casting a sharp shadow does not require waves.

  • Sort into groupsLevel 2

    3. Sort each everyday mirror into the type of curved mirror it uses.

    Answer: Make-up mirror = Concave; Car passenger-side mirror = Convex; Reflecting telescope mirror = Concave; Shop security mirror = Convex

    Concave mirrors magnify (make-up mirrors, telescopes) while convex mirrors give a wide view (car side mirrors, shop security mirrors).