← Ray Model of Light

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The whole chapter on one page

Use it the night before, not instead of the lessons.

The model

Ray model of light Light travels along straight line paths called rays. A beam is a bundle of rays. In a ray diagram the straight line shows the path and the arrow shows the direction of travel. A model is a scientific representation used to explain and predict behaviour.

Evidence that light travels in straight lines: the three-card experiment. Aligned holes → the flame is visible. Move one card → the light is blocked and the flame cannot be seen.

In a vacuum light travels 300 million metres per second — 7.5 times round the Earth in one second. Brain signals travel at about 120 m/s.

How we see

Reflection

ReflectionThe bouncing of light off a surface. Light travels in straight lines even when it bounces.
TermDefinition
Incident rayThe ray hitting the reflecting surface
Point of incidenceWhere the incident ray meets the surface
NormalThe line perpendicular to the surface at the point of incidence (drawn dashed)
Angle of incidence, iBetween the incident ray and the normal
Angle of reflection, rBetween the reflected ray and the normal
Reflected rayThe ray travelling away from the surface after bouncing off
The lawThe angle of reflection is equal to the angle of incidence. i = r — measured from the normal, never from the surface. If a question gives an angle to the surface, subtract from 90° first.

Images in a plane mirror — all five

  1. Same size as the object
  2. Upright
  3. Virtual — formed inside the mirror, cannot be formed on a screen (a screen = any physical object such as a wall or paper)
  4. Laterally inverted — left and right reversed
  5. Same distance from the mirror as the object is

Uses of plane mirrors: checking appearance · lining walls to make an interior look wider · periscopes (submarines) · reflecting an eye chart so it appears further away.

Ambulance lettering is reversed so a driver ahead reads it correctly in their rear-view mirror, which laterally inverts it back.

Curved mirrors

ConvexConcave
Surfacecurves outwardscurves inwards
Also calleddiverging mirrorconverging mirror
Effectspreads rays apart → wider range of visionbrings rays together → magnifies / concentrates
Usesroad junctions (blind corners) · shop corners · rear-view and side mirrorsdentist's mirror · shaving and make-up mirrors · car headlights · microscope mirror

A spoon shows both: the top is concave, the bottom is convex. Curved mirrors distort the images they form — as in a funhouse mirror.

Smooth vs rough surfaces

Smooth surfaceRough surface
Each ray reflected in the same directionEach ray reflected in a different direction
Clear images formLight is scattered; no image
plane mirror · polished metal · calm waterpaper · walls · rippled water
The examinable subtlety For both smooth and rough surfaces, i = r for every individual ray. What differs on a rough surface is the direction of the normal at each point, because the surface tilts differently from place to place. Paper looks smooth but is uneven under a microscope, which is why it scatters light and shows no reflection.

Refraction

Refraction The bending of light at the boundary between two different transparent materials (optical mediums), due to a change in the speed of light as it passes from one into the other.

Optical density affects the speed of light in a medium: the more optically dense, the slower light travels. It is not the same as the density from Chapter 2.

Going fromSpeedBends
air → glass (less dense → denser)slows downtowards the normal
glass → air (denser → less dense)speeds upaway from the normal
Entering along the normal (i = 0°)still changesno bending — straight through

The cart model: wheel A hits the grass first, slows first, travels a shorter distance than B, so the cart swings. Perpendicular entry → both wheels slow together → straight on at lower speed.

What you observe: a spoon or pencil in water looks bent or broken · letters under a glass block appear nearer the surface · a pool's perceived depth is less than its actual depth, so it looks shallower than it is.

Dispersion

White light is a spectrum of seven colours: ROYGBIV — red, orange, yellow, green, blue, indigo, violet.

Each colour slows to a different extent on entering a new medium, so each bends by a different angle. Violet bends the most, red bends the least. The splitting of white light into its component colours is dispersion.

Radiation and its impact

Visible light is only one type of electromagnetic (EM) radiation. Others we cannot see include infrared and ultraviolet. Snakes see infrared; bees see UV.

ApplicationsHarmful effects
Infrared Thermal imaging cameras screen for fever (used during COVID-19) · robotic vacuum cleaners avoid stairs · vehicles detect a drowsy driver Overexposure in welding, cutting, brazing, furnaces and molten metal — workers wear goggles · trapped in the atmosphere it drives climate change
Ultraviolet Increases vitamin D production · treats skin diseases such as psoriasis · UV sterilisation of equipment, food and water with no harmful chemicals or by-products Overexposure harms the eyes and causes skin cancer · sunscreen filters out UV
Visible light Photosynthesis · daily activities, reading, driving safely at night · Edison's incandescent bulb (1879) → fluorescent lamps → LEDs Chemical changes fade documents, photographs and paintings (no flash photography in museums) · light pollution
Light pollution Too much artificial light in the environment. It harms living things that depend on the day–night cycle for migration, reproduction, searching for food, sleeping and escaping predators.

Migratory birds gauge the seasons by sunlight; artificial light makes them migrate too early or too late, which can be fatal. Turtle hatchlings are guided to the sea by natural light in the sky; artificial lamps draw them away and they die (NParks hatchery at Sisters' Islands Marine Park, 2018). Street lighting also uses a lot of electricityLEDs and CFLs reduce both problems.