Converging Lens

Key idea: G3 Physics and O-Level converging lens hub: focal length, ray diagrams, image characteristics and practical applications.

  • SEC G3 Physics 2027
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Learning objectives

  • Describe wave generation by vibrating sources, ropes and springs
  • Describe ripple-tank waves using wavefronts
  • Explain that waves transfer energy
  • Explain that wave energy transfer does not transfer matter
  • Use amplitude, frequency and wavelength to describe wave motion
  • Define and use wave speed and period and interpret wave graphs
  • Recall and apply wave speed = frequency × wavelength
  • Compare transverse and longitudinal waves and give examples
  • Explain sound production by vibration and the need for a medium
  • Describe sound using compressions and rarefactions
  • Relate sound loudness to amplitude and pitch to frequency
  • Explain reflected-sound echoes and use them to measure distance
  • Explain ultrasound use in sonar and soft-tissue scanning
  • Use the normal, angle of incidence and angle of reflection
  • Apply the law of reflection in constructions, measurements and calculations
  • Use the normal, angle of incidence and angle of refraction
  • Apply sin i divided by sin r as a constant for a fixed pair of media
  • Define refractive index as vacuum light speed divided by medium light speed
  • Explain the critical angle
  • Explain the conditions for total internal reflection
  • Apply total internal reflection to optical fibres and state advantages
  • Describe how a thin converging lens acts on a light beam
  • Define the focal length of a converging lens
  • Construct real and virtual image ray diagrams for a thin converging lens
  • Describe lens images as real or virtual, magnified or diminished, and upright or inverted

Converging lenses focus light and form images. Use this hub to learn how a thin lens acts on rays, construct images carefully and explain applications such as cameras, projectors and magnifying glasses.

Waves Overview

Converging Lens is a sub-topic of the Waves Hub.

Lessons

Core Optics

  • Thin Lenses

    Defining focal point, focal length, and optical centre.

  • Ray Diagrams

    Drawing rules and predicting image characteristics.

Applications

  • Lens Applications

    How cameras, projectors, and glasses use lenses.

Revision

Quick Reference
Object position (u)Image position (v)NatureOrientationSize
At infinityAt F (focus)RealInvertedHighly diminished (point)
u > 2fBetween f and 2fRealInvertedDiminished
u = 2fAt 2fRealInvertedSame size
f < u < 2fBeyond 2fRealInvertedMagnified
u = fAt infinity (emergent rays parallel)Image at infinity (no screen image)——
u < fSame side as objectVirtualUprightMagnified
Quick facts to remember
  • Principal Axis: The line passing through the optical centre of the lens.
  • Optical Centre (O): The point in the thin-lens model where a ray passes straight through without changing direction.
  • Principal Focus (F): The point on the principal axis where all parallel rays converge after passing through the lens.
  • Focal Length (f): The distance between the optical centre and the principal focus.
  • Real Image: An image that can be formed on a screen.
  • Virtual Image: An image that cannot be formed on a screen.
Top Exam Traps
  1. Ray Drawing Rules:
    • Ray 1: Parallel to axis → through F.
    • Ray 2: Through C → straight through.
    • Ray 3: Through F → parallel to axis.
  2. Virtual Image Construction: When u < f, the rays diverge on the far side. Extend them backwards using dashed lines to find the virtual image.
  3. Real vs Virtual: Real images are always inverted; Virtual images are always upright (for a single lens).
  4. 2f Reference: For real images, positions beyond 2F give diminished images, while positions between F and 2F give magnified images.
  5. Magnifying Glass: For a lens to act as a magnifying glass, the object must be placed closer than the focal length (u < f).

Continue with the next resource in this course.

Course and syllabus information
Course
SEC G3 Physics
Edition
SEC G3 Physics 2027