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Light

邊玩邊學

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課程筆記

Reflection of Light

  • The law of reflection states: angle of incidence (i) = angle of reflection (r).
  • Angles are measured between the ray and the normal (an imaginary line perpendicular to the boundary).
  • In a plane mirror, the image is virtual, same size, same distance behind the mirror as the object is in front, and laterally inverted.
  • A virtual image is formed where extended reflected rays appear to meet; it cannot be projected onto a screen.
  • When drawing ray diagrams, use arrows to show direction: incident ray points toward the boundary, reflected ray points away.

Reflection at a plane mirror

Reflectionnormalincident40°reflected40°

Investigating Reflection

  • Aim: To investigate reflection by a plane mirror.
  • Independent variable: angle of incidence; dependent variable: angle of reflection.
  • Method: Use a ray box, protractor, and plane mirror; mark incident and reflected ray positions on paper.
  • Analysis: The law of reflection i = r should be verified; results are recorded in a table.
  • Safety: Avoid looking directly at the ray box light; run burns under cold water for at least five minutes.

Apparatus to investigate reflection

Apparatus to investigate reflection

Refraction of Light

  • Refraction is the change in direction of a light ray when passing from one medium to another.
  • From less dense to more dense (e.g., air to glass), light bends towards the normal.
  • From more dense to less dense (e.g., glass to air), light bends away from the normal.
  • When light enters a rectangular glass block, it bends towards the normal at entry and away at exit.
  • Only speed and wavelength change during refraction; frequency remains constant.

Refraction of light

RefractionAirGlassnormalincident45°refracted28°

Refractive Index

  • Refractive index n = speed of light in vacuum / speed of light in material (n > 1).
  • Also given by Snell's law: n = sin i / sin r, where i = angle of incidence, r = angle of refraction.
  • Denser materials have higher refractive indices (e.g., diamond ≈ 2.4, glass ≈ 1.5).
  • Use the inverse sine function (sin⁻¹) to find an angle from its sine value.

Total Internal Reflection

  • Total internal reflection (TIR) occurs when light travels from a denser to a less dense medium and the angle of incidence exceeds the critical angle.
  • The critical angle is the angle of incidence for which the angle of refraction is 90°.
  • When i > critical angle, all light is reflected back into the denser medium.
  • Optical fibres use TIR to transmit light signals for communications, endoscopes, and decorative lamps.

Refraction and total internal reflection compared

Refraction and total internal reflection compared

Ray Diagrams and Lenses

  • A converging (convex) lens brings parallel rays to a focus at the principal focus (focal point).
  • Focal length is the distance from the lens centre to the principal focus.
  • Three key rays: through optical centre (undeviated), parallel to principal axis (refracts through focus), through focus (emerges parallel).
  • For an object beyond 2f, the image is real, inverted, and diminished.
  • For an object between f and 2f, the image is real, inverted, and magnified.
  • For an object at 2f, the image is real, inverted, and same size.

Converging lens: principal focus and focal length

Converging lens: principal focus and focal length

Virtual Images

  • A real image is formed where light rays converge; it can be projected onto a screen and is inverted.
  • A virtual image is formed where light rays appear to diverge from; it cannot be projected and is upright.
  • When an object is placed closer than the focal length to a converging lens, a virtual, upright, magnified image is formed (magnifying glass).
  • In ray diagrams for virtual images, use dashed lines to trace back the diverging rays to where they appear to meet.

Virtual image formed by a magnifying glass

Virtual image formed by a magnifying glass

Dispersion of Light

  • Dispersion is the separation of white light into its component colours by a prism.
  • Violet light is refracted most; red light is refracted least.
  • The visible spectrum in order of increasing wavelength: violet, indigo, blue, green, yellow, orange, red.
  • Each colour corresponds to a different wavelength and frequency; frequency does not change during refraction.

Dispersion of white light through a prism

Dispersion of white light through a prism

投影片

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練習題

免費預覽——57 題中的 8 題。註冊即可查看全部。
  1. 1.What is the angle between the incident ray and the normal called?

    Easy
    • Aangle of reflection
    • Bangle of incidence
    • Ccritical angle
    • Drefractive angle
  2. 2.The angle of incidence is always equal to the angle of reflection.

    Easy

    True or false?

  3. 3.State the law of reflection.

    Easy
  4. 4.Complete the sentence:

    Easy

    When light passes from air into glass, it bends ____ the normal.

  5. 5.A ray of light enters a glass block of refractive index 1.53 at an angle of incidence of 15°. Calculate the angle of refraction in degrees. (Give your answer to 1 decimal place.)

    Medium
    • A10.7
    • B8.7
    • C9.7
    • D11.7
  6. 6.Which colour of light is refracted the most when white light passes through a prism?

    Easy
    • Ared
    • Bgreen
    • Cviolet
    • Dyellow
  7. 7.What is the name of the angle at which the angle of refraction is 90°?

    Easy
  8. 8.Total internal reflection can occur when light travels from a less dense medium to a denser medium.

    Medium

    True or false?

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