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5.3.2Waves in Matter

Convex and Concave Lenses

5 min read 5 parts Lesson 16 of 18 Unit quiz

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Section 1 of 5Refraction Revisited

5.3.2 Convex and Concave Lenses

A lens works because light changes direction when it passes between materials in which it travels at different speeds.

Refraction
  • The change of direction of a wave when it crosses a boundary because its speed changes.
Entering glass
  • Light slows down in glass and bends towards the normal when it enters a block at an angle.
Leaving glass
  • Light speeds up again on leaving and bends away from the normal.
Frequency
  • The frequency of the light stays the same, while the speed and wavelength change, so the colour does not change.

Section 2 of 5Convex (Converging) Lens

Convex (Converging) Lens
Shape
  • A convex lens is thicker in the middle than at the edges and bulges outwards on both sides.
Effect on rays
  • Parallel rays are bent inwards and brought together at a point called the principal focus.
Focal length
  • The distance from the centre of the lens to the principal focus;
    • a more curved lens has a shorter focal length.
Uses
  • Magnifying glasses, cameras, projectors and spectacles to help people who are long-sighted.

Section 3 of 5Concave (Diverging) Lens

Concave (Diverging) Lens
Shape
  • A concave lens is thinner in the middle than at the edges and curves inwards.
Effect on rays
  • Parallel rays are spread apart, so they appear to come from a point behind the lens.
Principal focus
  • The point from which the diverging rays appear to come, found by tracing the emerging rays backwards.
Uses
  • Spectacles to correct short sight, and lenses in some peepholes and cameras where a smaller image is wanted.
LensShapeAction on parallel raysFocus
ConvexThick in middleConverges themReal focus on far side
ConcaveThin in middleDiverges themApparent focus behind lens

Section 4 of 5Drawing Lenses

Ray diagrams use simple symbols and a ruler.

1
Draw the principal axis as a horizontal line through the centre of the lens.
2
Represent a convex lens as a vertical line with outward-pointing arrowheads, and a concave lens with inward-pointing arrowheads.
3
Mark the principal focus on both sides of the lens at the same distance from the centre.
4
Draw rays as straight lines using a ruler, changing direction only once at the middle of the lens.
5
Add arrows to every ray to show the direction in which the light travels.

Section 5 of 5Exam Checklist & Tips

5.3.2 – Key Points for the Exam

  • Convex lens A lens that is thicker at the centre and converges parallel rays to a focus.
  • Concave lens A lens that is thinner at the centre and diverges parallel rays.
  • Principal focus The point where parallel rays meet, or appear to come from, after passing through a lens.
  • Focal length The distance from the lens to its principal focus.
  • Principal axis The line through the centre of the lens at right angles to it.

Common Mistakes

  • Mixing up the two lenses; convex converges and concave diverges.
  • Saying the focal length is measured from the object instead of from the lens to the principal focus.
  • Drawing curved rays; rays are straight lines that change direction at the lens.
  • Forgetting that the frequency of light does not change when it is refracted by a lens.
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