LightExtendabout 44 min
Waves, particles and the light you cannot see
Beyond visible light: wave versus particle, a real chocolate-bar experiment, and looking into the past with light-years.
Step past visible light into the wider spectrum, meet the wave-versus-particle debate (light is genuinely both), measure light's speed with a microwave and a chocolate bar, see how bending stretches every day, and use light-years to look into the past.
In this part you’ll
- Place visible light within the wider electromagnetic spectrum by wavelength.
- Give at least one piece of evidence each for light behaving as a wave and as a particle.
- Carry out (or understand) a real measurement of the speed of light using a microwave oven.
- Explain why atmospheric refraction adds a few minutes of daylight to every day.
- Use light-years to say how far into the past you are looking at a given astronomical object.
Everything so far has treated light as a ray — a straight arrow that reflects and refracts. That model is enormously useful and completely wrong about what light actually is.
This layer opens the two big questions physicists spent three centuries fighting over: is light a wave, or a stream of particles? (Answer: astonishingly, both, depending on the question you ask.) It also steps past the narrow band of wavelengths your eyes can catch, tries a genuine speed-of-light project with a chocolate bar, and leaves you with open questions nobody has fully answered.
Chapter 01
Beyond what your eyes can see
Visible light — roughly 400 to 700 nanometres — is only a sliver of a vastly wider family called the electromagnetic spectrum. Every member of that family is the same underlying phenomenon (an oscillating electric and magnetic field) travelling at the same speed, c, differing only in wavelength — and therefore in frequency and in energy.
| Band | Roughly | A familiar use |
|---|---|---|
| Radio | metres to kilometres | AM/FM broadcast, mobile phone signals |
| Microwave | millimetres to centimetres | Microwave ovens, radar, satellite links, Wi-Fi |
| Infrared | 700 nm to about 1 mm | TV remotes, thermal cameras, the warmth you feel from a fire |
| Visible light | 400–700 nanometres | Everything in this topic so far |
| Ultraviolet | 10–400 nanometres | Sunburn, sterilising water, some security ink under a UV lamp |
| X-rays | 0.01–10 nanometres | Medical and dental imaging, airport baggage scanners |
| Gamma rays | under 0.01 nanometres | Emitted by radioactive decay and in cancer radiotherapy |
Worked example
0 / 4 steps shownOne wavelength across the whole spectrum: an FM radio station
All India Radio's FM stations broadcast around 100 MHz. Using wavelength = c ÷ frequency, how long is one wave of an FM radio signal, and how does that compare with visible light?
| Band | Wavelength | Frequency | Photon energy |
|---|---|---|---|
| Radio | 1 m | 3.00 × 10⁸ Hz | 0.0000012 eV |
| Microwave | 1 cm | 3.00 × 10¹⁰ Hz | 0.00012 eV |
| Infrared | 2,000 nm | 1.50 × 10¹⁴ Hz | 0.62 eV |
| Visible (red) | 700 nm | 4.28 × 10¹⁴ Hz | 1.77 eV |
| Visible (violet) | 400 nm | 7.49 × 10¹⁴ Hz | 3.10 eV |
| Ultraviolet | 200 nm | 1.50 × 10¹⁵ Hz | 6.2 eV |
| X-ray | 0.1 nm | 3.00 × 10¹⁸ Hz | 12.4 keV |
| Gamma ray | 0.001 nm | 3.00 × 10²⁰ Hz | 1,240 keV |
Lab
Sort six electromagnetic bands into longer or shorter wavelength than visible light.
Order matters here: sort each electromagnetic band by roughly how long its wavelength is.
6 cards, 2 bins. Tap a card, then tap its bin. You can also drag, or press a bin’s number key.
Text version of this activity
Six electromagnetic bands — radio, microwave, infrared, ultraviolet, X-ray and gamma — sorted by whether their wavelength is longer or shorter than visible light's 400–700 nanometre range. Radio, microwave and infrared sit on the long side; ultraviolet, X-ray and gamma sit on the short side, with visible light as the narrow dividing band in between.
Worked example
0 / 4 steps shownWhy X-rays need thick lead aprons and gamma rays need even more shielding
Using the rule E (in eV) = 1240 ÷ wavelength (in nanometres), estimate the energy of a single medical X-ray photon of wavelength 0.1 nm, and compare it with a single green light photon (about 550 nm).
Chapter 02
Is light a wave? The case for yes
A wave's calling card is diffraction and interference: waves bend slightly around obstacles and through narrow gaps, and two overlapping waves can reinforce or cancel each other. In 1801, Thomas Young shone light through two narrow, closely spaced slits and saw exactly this — a pattern of bright and dark bands where the light from the two slits alternately reinforced and cancelled. Particles fired through two slits, like tiny bullets, could never do that; only waves interfere.
Worked example
0 / 4 steps shownA rainbow you can hold: diffraction from a CD
A CD's data track is a spiral of tiny pits spaced about 1.6 micrometres (1.6 × 10⁻⁶ m) apart — closely spaced enough to diffract light noticeably, acting like a reflective diffraction grating. At what angle does green light (550 nm) diffract from a CD's surface, and why does tilting a CD in the light show a rainbow?
Lab
Sort six real observations into wave evidence and particle (photon) evidence for the nature of light.
Is this observation best explained by light behaving as a wave, or as a particle (photon)?
6 cards, 2 bins. Tap a card, then tap its bin. You can also drag, or press a bin’s number key.
Text version of this activity
Six genuine physical observations — Young's interference bands, a CD's diffraction rainbow, the photoelectric effect's frequency threshold, a solar cell's instant response, a rainbow's continuous colour smear, and single-photon clicks in a sensitive detector — sorted into whichever picture of light, wave or particle, explains them most naturally. The deliberate lesson of the sort: both bins fill up. No single picture explains every card.
Chapter 03
Is light a particle? The case for yes, too
In 1905, Albert Einstein explained the photoelectric effect — light knocking electrons out of a metal — by proposing that light itself arrives in discrete packets of energy, later named photons. A photon's energy depends only on its frequency: E = h × f, where h is a tiny fixed number called the Planck constant. Dimmer light means fewer photons, not weaker ones; a very dim beam of high-frequency violet light can still knock an electron out, while an enormously bright beam of low-frequency red light, below the threshold frequency, cannot knock out a single one.
Worked example
0 / 5 steps shownHow many photons is a laser pointer, really?
A small green laser pointer outputs about 1 watt of power (a strong one; most are far less). Using E = hc ÷ λ for one green photon (550 nm) and power = energy per second, roughly how many photons leave it every second?
Three centuries of arguing about what light is
- 1670sNewton: particles Proposed light is a stream of tiny particles ("corpuscles"), explaining reflection and straight-line travel well.
- 1670sHuygens: waves Proposed light is a wave in an invisible medium, explaining refraction (and, later, diffraction) at least as well.
- 1801Young: wave evidence The double-slit interference experiment gave strong, direct evidence for light's wave nature, and the particle theory fell out of favour for a century.
- 1860sMaxwell: electromagnetic waves Showed mathematically that light is an oscillating electric and magnetic field, unifying light, radio waves and all the rest of the electromagnetic spectrum.
- 1905Einstein: the photon Explained the photoelectric effect only by treating light as discrete energy packets, reviving the particle picture — and winning the 1921 Nobel Prize substantially for this, not for relativity.
- 1920s onwardQuantum mechanics: both, properly A full theory (quantum electrodynamics) shows light is neither a simple wave nor a simple particle in the everyday sense, but a genuinely quantum object that shows either face depending on how you look at it.
Lab
Revisit dispersion and scattering, now knowing both are wavelength-dependent wave phenomena.
| Colour | Wavelength | Glass index n | Bent by |
|---|---|---|---|
| Red | 660 nm | 1.5142 | 38.54° |
| Orange | 610 nm | 1.5159 | 38.68° |
| Yellow | 580 nm | 1.5171 | 38.78° |
| Green | 540 nm | 1.519 | 38.94° |
| Cyan | 500 nm | 1.5214 | 39.14° |
| Blue | 470 nm | 1.5236 | 39.33° |
| Violet | 425 nm | 1.5279 | 39.7° |
Violet is bent 1.16° more than red. That is a small angle — but over a few metres it is enough to spread a whole rainbow across a wall. Long waves (red) are slowed least by the glass, so they bend least; short waves (violet) are slowed most, so they bend most.
Model: an equilateral crown-glass prism, index from the Cauchy formula n = A + B/λ². Reflections at the faces are ignored.
Predict before you peek: 6 quick questions about prism. Play with the lab above first if you like.
Text version of this activity
The same prism and scattering bench from earlier layers, worth one more look with the wave-particle debate in mind: dispersion (different wavelengths refracting by different amounts) and scattering (different wavelengths deflected by different amounts by small particles) are both explained through wavelength — a wave property. Nothing about the photoelectric effect or photon counting shows up here at all, which is itself an illustration of how differently the two faces of light present themselves.
Chapter 04
Lasers: light with one colour, one direction, one rhythm
Ordinary light, even from a single small bulb, is a chaotic mix: many different wavelengths, spreading in every direction, with every photon arriving out of step with every other. A laser (Light Amplification by Stimulated Emission of Radiation) produces something genuinely different: light of essentially one wavelength, travelling in one tightly focused direction, with all its waves rising and falling perfectly in step — a property called coherence.
Worked example
0 / 4 steps shownA laser rangefinder, timing light instead of sound
A laser rangefinder fires a pulse at a wall 10.5 m away and times how long it takes to return. Light travels about 30.0 cm per nanosecond (a billionth of a second). How long does the round trip take, and why does this device need extremely fast electronics?
| Use | What the coherence or focus buys |
|---|---|
| Barcode and QR scanners | A tightly focused, single-wavelength spot that reads a printed pattern reliably |
| Fibre-optic communication | A single, stable wavelength that stays sharp over many kilometres of glass fibre |
| Laser eye surgery | Extremely precise, focused energy delivered to a tiny, exact spot on the cornea |
| Laser rangefinders and LIDAR | A short, tightly focused pulse whose travel time gives distance to within centimetres |
| Laser pointers and light shows | A narrow, undiverging beam visible as a sharp point or line from a distance |
Lab
See a perfectly straight, undiverging beam — the geometric idealisation a laser approaches closely in practice.
| Angle of incidence | 0° |
|---|---|
| Angle of reflection | 0° |
| Angle to the mirror surface | 90° |
Ray model: a perfectly flat, smooth mirror. Real mirrors absorb a little light, and light also behaves as a wave.
Text version of this activity
A single ray travelling dead straight with no spreading, standing in for how closely a real laser beam approaches the idealised ray model used throughout this whole topic. An ordinary torch or bulb, by contrast, sends rays out from its source in every direction at once — a laser is the closest real-world object to "drawing a single ray" that physics actually offers.
Chapter 05
Project: measure the speed of light with a chocolate bar
Here is a real experiment you can try, using a microwave oven, a chocolate bar (or cheese, or marshmallows) and a ruler. It measures the speed of light using nothing more advanced than arithmetic — no lasers, no astronomy, no spinning wheels.
The chocolate-bar experiment, step by step
- Step 01Remove the turntablestep 1
A microwave oven's turntable spreads the heating evenly, which hides the pattern this experiment needs. Take it out, with an adult's help, or prop the dish so it cannot spin.
- Step 02Lay chocolate flat on a microwave-safe dishstep 2
A thin, even layer works best — break up a bar and lay the pieces edge to edge.
- Step 03Heat in short burstsstep 3
Run the microwave for 10–20 seconds at a time, checking after each burst, until you see a few clearly melted spots rather than the whole bar melting evenly.
- Step 04Measure the gap between melted spotsstep 4
The melted spots mark the hot points of the standing microwave pattern inside the oven, spaced by exactly half a wavelength.
- Step 05Find the oven's frequencystep 5
Almost every microwave oven has its operating frequency printed on a label inside the door or on the back plate — typically 2.45 GHz (2.45 × 10⁹ hertz).
- Step 06Calculatestep 6
Wavelength = 2 × (gap between melted spots). Speed = frequency × wavelength.
Worked example
0 / 4 steps shownWorking the chocolate-bar numbers
A student measures a gap of exactly 6 cm between two melted spots, and their oven's label reads 2.45 GHz. What speed do they calculate, and how close is it to the accepted value?
Chapter 06
A puzzle: the sunset that has already happened
Here is a genuine puzzle. The Earth's atmosphere is not uniform: it is denser near the ground and thinner higher up. Light travelling through a gradually changing density bends gradually too, curving very slightly downward as it approaches the ground — which means it curves the image of a distant object slightly upward as you see it.
Predict first
Worked example
0 / 4 steps shownHow much extra daylight does bending give you?
Atmospheric refraction lifts objects near the horizon by about 34 arcminutes (34⁄60 = 0.567°). The Sun crosses the sky at about 360° in 24 hours. How many extra minutes of visible daylight does this bending add, roughly?
Lab
A simplified single-boundary model of the much more gradual bending that really happens across the whole atmosphere.
| Angle of incidence | 5° |
|---|---|
| Angle of reflection | 5° |
| Angle to the mirror surface | 85° |
Ray model: a perfectly flat, smooth mirror. Real mirrors absorb a little light, and light also behaves as a wave.
Text version of this activity
A ray box showing one sharp boundary bending a nearly horizontal ray slightly upward — a simplified stand-in for what really happens gradually, over many kilometres, as starlight or sunlight crosses air of continuously increasing density on its way down to the ground. Real atmospheric refraction has no single sharp boundary at all; it is a smooth curve, strongest exactly at the horizon where the path through the densest air is longest.
Chapter 07
Light-years and looking into the past
Because light takes real time to travel, every single thing you look at, you see slightly in the past — and the farther away it is, the further back in time you are looking. A light-year is simply the distance light travels in one year: about 9.46 trillion kilometres.
| Object | Distance | Light-travel time |
|---|---|---|
| The Moon | 384,400 km | 1.28 seconds |
| The Sun | 150 million km (1 AU) | 8 minutes 19 seconds |
| Jupiter (at opposition) | about 4.2 AU | about 35 minutes |
| Proxima Centauri (nearest star) | 4.25 light-years | about 4 years 3 months |
| Sirius (brightest star in the night sky) | 8.6 light-years | about 8 years 7 months |
| The Andromeda Galaxy (naked-eye visible) | 2.5 million light-years | about 2.5 million years |
Worked example
0 / 4 steps shownWhy you could never have a normal conversation with Proxima Centauri
Proxima Centauri, the nearest star beyond the Sun, is 4.2465 light-years away. If you sent a radio message there (radio waves travel at the same speed as light) and someone replied the instant they received it, how long would you wait for the reply?
Try it
Chapter 08
Open questions and where light takes people
Studying light seriously opens onto real careers and real unanswered questions — not just tidy textbook problems. First, two puzzles to try before you read the fields and questions below.
Worked example
0 / 3 steps shownPuzzle: the satellite phone call delay
A television signal is bounced up to a geostationary satellite, 35,786 km overhead, and straight back down to a receiving dish. Using distance ÷ speed, how long does that one-way hop take, and why do satellite phone calls have such a noticeable pause?
| Field | What it uses |
|---|---|
| Optometry and ophthalmology | Lens power, refractive errors, the eye's optics |
| Astronomy and astrophysics | Telescopes, spectra, look-back time, redshift |
| Fibre-optic and telecom engineering | Total internal reflection, signal loss, latency |
| Photography and cinematography | Lenses, exposure, colour, dynamic range |
| Remote sensing (ISRO and others) | Satellites reading reflected and emitted light across many wavelengths, including infrared, to monitor crops, water and weather |
| Quantum information science | Individual photons used to carry and process information |
Chapter 09
Pulling it together
Words to know
All maths vocabulary →Terms from this lesson
- Electromagnetic spectrum
- The full family of waves that includes radio, microwave, infrared, visible light, ultraviolet, X-rays and gamma rays, all travelling at the speed of light.
- Diffraction
- Waves spreading slightly around obstacles or through narrow gaps — evidence for light's wave nature.
- Example: A CD's rainbow, or light spreading through a narrow slit.
- Interference
- Two overlapping waves reinforcing (brighter) or cancelling (darker) depending on their alignment.
- Example: Young's double-slit banding pattern.
- Photon
- A discrete packet of light energy, with energy E = h × f.
- Example: A green laser emits billions of billions of photons every second.
- Photoelectric effect
- Light knocking electrons out of a metal, only above a minimum frequency — evidence for light's particle nature.
- Example: Explained by Einstein in 1905.
- Wave–particle duality
- The genuinely quantum fact that light (and matter) shows wave behaviour in some experiments and particle behaviour in others, with no contradiction.
- Light-year
- The distance light travels in one year, used to measure vast astronomical distances.
- Example: Proxima Centauri is 4.25 light-years away.
Reflect
This stays on this page only. It isn’t saved or sent anywhere.
Lab
Match six wave-and-particle terms to their meanings.
Match each extend-layer term to its meaning.
6 pairs are hiding in two mixed-up columns. Pick one from each side to join them.
Text version of this activity
A connect-the-pairs game covering this layer's core vocabulary: diffraction, interference, photon, the photoelectric effect, the light-year, and wave–particle duality.
Quick check
Test what you worked out
5 questions · answer what you can, then check. Getting one wrong is useful.
Keep this
Cheat sheet
- Electromagnetic spectrum: radio, microwave, infrared, visible, ultraviolet, X-ray, gamma — all the same phenomenon, differing only in wavelength, all travelling at c.
- Wave evidence: diffraction (bending round edges) and interference (Young's double slit, a CD's rainbow) — both need overlapping waves, not particles.
- Particle evidence: the photoelectric effect and single-photon detection. E = h × f: a photon's energy depends only on frequency.
- Wave–particle duality: light genuinely shows both behaviours; it is a quantum object, not secretly one or the other.
- Atmospheric refraction lifts objects near the horizon by about 34 arcminutes, adding a couple of minutes of daylight at sunrise and sunset.
- Light-year: the distance light travels in a year, about 9.46 trillion km. Looking far away always means looking into the past.
Related to
ElectricityMaxwell's 19th-century equations, which first showed light is an electromagnetic wave, are the very same equations behind how alternating current and generators work.
Used in
Anatomy of the human bodyDetecting single photons in very low light is close to the physical limit of what the eye's retina can do — some experiments suggest a dark-adapted human eye can detect only a handful of photons.
Where this comes from
Sources
Introduction to the Electromagnetic Spectrum (opens another website) — NASA Scienceawaiting check
Supports the ordering of the electromagnetic spectrum by wavelength from radio to gamma rays, and the idea that visible light is only a narrow slice of it.
Visible Light (opens another website) — NASA Scienceawaiting check
Supports the visible spectrum's wavelength range (about 400 to 700 nanometres), the order of spectral colours, and visible light's place within the wider electromagnetic spectrum.
Light (opens another website) — Encyclopaedia Britannicaawaiting check
Supports the general description of light as electromagnetic radiation, its dual wave and particle behaviour, and the historical development of ideas about what light is.
Speed of light (opens another website) — Wikipediaawaiting check
Supports the historical timeline of measuring the speed of light, including Rømer's astronomical method and Fizeau's rotating toothed wheel experiment, and their results compared with the modern value.
The Rainbow (opens another website) — HyperPhysics, Georgia State Universityawaiting check
Supports the geometry of the primary and secondary rainbow (refraction, one or two internal reflections, then refraction again in a raindrop), the primary bow's angle of about 42 degrees, and Alexander's dark band between the two bows.
End of Extend
What you just read
- Place visible light within the wider electromagnetic spectrum by wavelength.
- Give at least one piece of evidence each for light behaving as a wave and as a particle.
- Carry out (or understand) a real measurement of the speed of light using a microwave oven.
- Explain why atmospheric refraction adds a few minutes of daylight to every day.
- Use light-years to say how far into the past you are looking at a given astronomical object.
- Practise80 questionsHints and a worked solution for every question — or play a 10-question round.
- Step backGo deeperGo back over the ground before this one — you can move up and down as often as you like.
- TopicAll of lightThe whole ladder, the connections and the words to know, on one page.
The web
Explore a connection
Helps you understandanother area
EclipsesAn eclipse is a shadow, and shadows need light that travels in straight lines.
Helps you understandanother area
Phases of the MoonThe Moon has no light of its own: we see the half of it the Sun is lighting.
Used inanother area
Anatomy of the human bodyThe eye is a lens, a screen and a shutter — optics built out of living tissue.
Want to save topics or ask for new ones? Invited families can connect a learning device. Everything here stays free to read without signing in.
Revision 1 · release preview-7e1cbbcc4f · accepted 20/09/2026