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Learning Objective
In this lesson we will learn how light refracts through convex and concave lenses to produce different types of images.
Learning Outcomes
By the end of this lesson you will be able to:
- Describe refraction, with examples.
- Define refractive index the explain the law of refraction.
- Describe convex and concave lenses.
- Explain how light passes through convex and concave lenses.
- Predict the types of images produced by convex and concave lenses.
(Image: stevepb, Pixabay)
Lesson Summary
- Refraction is a process by which light waves are bent due to changing speed when moving from one medium to another.
- The refractive index of a substance is a measure of light’s relative speed in that substance and therefore a measure of how far light will bend when entering that substance from air.
- The law of refraction (Snell’s law) states that when light enters a substance with a higher refractive index, it bends towards the normal, and when light enters a substance with a lower refractive index, it bends away from the normal.
- A lens is a curved, transparent piece of glass or plastic that refracts light.
- A convex lens curves outwards and is thicker at the centre.
- A concave lens curves inwards and is thinner at the centre.
- When light rays pass through a convex lens they converge.
- When light rays pass through a concave lens they diverge.
- Convex lenses produce images that vary depending on the distance between the object and the lens.
- Concave lenses always produce images that are upright and diminished.
- Human eyes contain a convex lens that focuses incoming light onto the retina at the back of the eye.
- Near-sightedness is a condition where people can’t see distant objects clearly.
- It can be corrected with concave lenses.
- Far-sightedness is a condition where people can’t see near objects clearly.
- It can be corrected with convex lenses.
- Symmetrical lenses have a focal point on each side of the lens, with equal focal lengths.
- The mid-plane of a symmetrical lens divides the lens in half.
- The optical centre of a symmetrical lens is the geometrical centre, where no refraction occurs.
- The principal axis is a straight line passing through the optical centre of a lens, perpendicular to the mid-plane.
- A gently curved lens causes less refraction and therefore has a longer focal length.
- A strongly curved lens causes greater refraction and therefore has a shorter focal length.
- Ray diagrams can be used to predict the size and orientation of images produced by lenses.
- Rules for drawing ray diagrams for convex lenses:
- Light rays that are parallel to the principal axis will pass through the focal point after refraction.
- Light rays that pass through the optical centre will continue in a straight line without refraction.
- Light rays that pass through the focal point before the lens will become parallel to the principal axis after refraction.
- Rules for Drawing Ray Diagrams for Concave Lenses:
- Light rays that are parallel to the principal axis will appear to come from the opposite focal point after refracting through the lens.
- Light rays that pass through the optical centre will continue in a straight line without refraction.
- Light rays that are directed at the opposite focal point will become parallel to the principal axis after refraction.
- A real image is an inverted image formed on the opposite side of a lens as an object, when light rays from the object converge after refraction.
- A virtual image is an upright image formed on the same side of a lens as an object, when light rays from the object diverge after refraction.
Characteristic | Convex Lens | Concave Lens |
Surface | Curved outwards | Curved inwards |
Parallel Rays | Converge | Diverge |
Image Formed | Varies with distance | Upright, diminished, virtual |
(Image: Kranich17, Pixabay)
(Header image: korionov, Adobe Stock)