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Section 2.4

Light (Optics)

Nature of light, reflection, refraction, lenses and fibre optics.

Notes

Optics, summary notes

Main ideas
  • Light travels in straight lines at ~3 × 10⁸ m/s in a vacuum, slower in denser media.
  • Reflection: angle of incidence = angle of reflection (measured from the normal).
  • Refraction: light bends when it crosses into a medium of different density (Snell's Law), why a straight rod looks bent when dipped in water.
  • Lenses and mirrors form images according to the lens/mirror equation, used in borescopes, cockpit optics and landing light reflectors.
  • Fibre optics rely on total internal reflection: light hitting the boundary of a denser-to-rarer medium beyond the critical angle reflects entirely rather than escaping, how aircraft data buses and borescopes work.
Key formulas
Snell's Law
n₁ sinθ₁ = n₂ sinθ₂
Refractive index
n = c / v
Mirror / lens equation
1/f = 1/u + 1/v
Critical angle
sinθc = n₂ / n₁
Solved examples
  1. Light travels from air (n = 1.0) into glass (n = 1.5) at an angle of incidence of 30°. Find the angle of refraction.

    sinθ₂ = (n₁ sinθ₁)/n₂ = (1.0 × sin30°)/1.5 = 0.333. θ₂ = sin⁻¹(0.333) = 19.5°.

  2. A fibre-optic core has n = 1.50 and its cladding has n = 1.44. Find the critical angle for total internal reflection.

    sinθc = n₂/n₁ = 1.44/1.50 = 0.96. θc = sin⁻¹(0.96) = 73.7°, any light hitting the core-cladding boundary beyond this angle reflects entirely back into the core.

Mind map

Optics concept map

Optics (Light)

Quiz

Optics quiz

Light (Optics)

Ref 2.415 of 50Pass 75%
  1. 1. Light travels in:

    Straight lines
    Curves always
    Circles
  2. 2. Light is a form of:

    Electromagnetic energy
    Sound
    Matter
  3. 3. The speed of light in a vacuum is about:

    3 × 10⁸ m/s
    3 × 10³ m/s
    340 m/s
  4. 4. The bouncing of light off a surface is:

    Reflection
    Refraction
    Diffraction
  5. 5. The law of reflection: the angle of incidence equals the angle of:

    Reflection
    Refraction
    Incidence doubled
  6. 6. The bending of light as it enters a new medium is:

    Refraction
    Reflection
    Dispersion only
  7. 7. Light bends on refraction because it changes:

    Speed (medium)
    Colour
    Frequency only
  8. 8. A mirror mainly causes:

    Reflection
    Refraction
    Diffraction
  9. 9. A lens works mainly by:

    Refraction
    Reflection
    Conduction
  10. 10. A convex (converging) lens brings parallel rays to a:

    Focus
    Parallel beam
    Standstill
  11. 11. A concave (diverging) lens makes parallel rays:

    Spread apart
    Converge to a point
    Stop
  12. 12. The point where a converging lens focuses parallel light is the:

    Focal point
    Centre of curvature
    Object
  13. 13. The splitting of white light into colours is:

    Dispersion
    Reflection
    Conduction
  14. 14. A prism can produce a:

    Spectrum
    Mirror image only
    Echo
  15. 15. The refractive index compares light's speed in a vacuum to its speed in the:

    Medium
    Source
    Eye