PhysicsTurning points › The nature of light

The nature of light

For a century, what light actually is came down to Newton's word against a Dutchman's, and Newton won on reputation. Two slits, a spinning cog and a pair of laboratory constants then overturned him, and the answer arrived from somewhere nobody expected: electricity.

Year 13AQA 3.12.2.1, 3.12.2.2, 3.12.2.3

Builds on Interference and Young's double slit and Cathode rays and the electron.

IN THIS TOPIC

  • Compare Newton's corpuscular theory with Huygens' wave theory, and say why Newton's was preferred.
  • Explain the significance of Young's fringes and why acceptance of the wave theory was delayed.
  • Use c = 1/√(μ₀ε₀), and outline Fizeau's and Hertz's measurements and what they implied.

WHAT YOU PROBABLY THINK

A theory backed by a great enough scientist counts as proved.

Corpuscles against waves

Newton argued that light is a stream of tiny particles, corpuscles. The theory earned its keep: particles travel in straight lines, which explains sharp shadows, and they bounce like billiard balls, which explains reflection. Refraction it could manage too, provided the glass attracts the corpuscles as they cross the surface, pulling them toward the normal, which requires light to travel faster in glass than in air.

His contemporary Christiaan Huygens proposed the opposite: light is a wave, each point on a wavefront acting as a source of new wavelets. Waves reflect and refract just as well, but bend toward the normal by slowing down in the denser medium. Two theories, both fitting the everyday facts, disagreeing about one unmeasurable number: the speed of light in glass.

The refraction test: Newton's corpuscles and Huygens' waves both bend light toward the normal entering glass, but corpuscles must speed up to do it and waves must slow downNewton: light must speed upHuygens: light must slow downairglassboth theories bend the ray the right waythey disagree about the speed in glass, and that decides everything
FIG. 1The hidden disagreement. Both theories bend the refracted ray the right way, but Newton needs light faster in the dense medium and Huygens needs it slower. Neither speed could be measured for over a century.

So why did Newton's version reign for a hundred years? Partly evidence: light seemed to cast perfectly sharp shadows, with none of the bending around edges that waves should show, and nobody could then detect light's diffraction. Partly the man: Newton's authority in science was unmatched, and disagreeing with him was a poor career move. Reputation was standing in for proof, and it held the wave theory down for a century.

Young's fringes

In 1801 Thomas Young lit two narrow slits with one source and looked at what fell on a screen beyond. Not two bright stripes, but a whole ladder of them: alternating bright and dark fringes. The explanation needs no equations, only overlap. Light spreading from the two slits meets on the screen; where crest arrives with crest the light reinforces and the screen glows, and where crest arrives with trough the two lights cancel and the screen is dark.

Young's double slits: light spreading from two slits overlaps, and the screen shows bright fringes where the two sets of waves arrive in steptwo slitsscreenbright where the two sets of crests arrive in stepparticles cannot cancel each other; overlapping waves can
FIG. 2Young's experiment. Waves spreading from the two slits overlap on their way to the screen, and the marked fringes sit exactly where the two path lengths differ by a whole number of wavelengths.

That cancellation is the fatal fact. Two streams of particles can only ever add: more corpuscles, more light. Only waves can arrive out of step and produce darkness from two lights. Yet acceptance still limped. Newton's reputation stood guard, the corpuscular school explained fringes away, and the wave theory only conquered as further interference and diffraction results piled up through the following decades, long after Young's demonstration and long after Huygens had died.

Maxwell, Hertz, and light unmasked

The wave theory's last gap was embarrassing: waves of what? The answer came from a different subject entirely. By the 1860s electricity and magnetism each carried a constant of proportionality: ε0, the permittivity of free space, sets the electric field strength around a charged object, and μ0, the permeability of free space, sets the magnetic flux density around a current-carrying wire. James Clerk Maxwell showed the two fields could sustain each other as a travelling wave, an electromagnetic wave of oscillating electric and magnetic fields at right angles, needing no medium at all, moving at

c = 1μ0ε0NOT ON THE DATA SHEET — LEARN IT

WORKED EXAMPLE

Two bench-top constants, one astonishing number

Evaluate Maxwell's speed using μ0 = 4π × 10−7 H m−1 and ε0 = 8.85 × 10−12 F m−1.

μ0ε0 = 4π × 10−7 × 8.85 × 10−12 = 1.11 × 10−17, so c = 1/√(1.11 × 10−17) = 3.00 × 108 m s−1.

Both constants come from laboratory measurements on charges and currents, nothing to do with optics. That their combination equals the measured speed of light was Maxwell's thunderbolt: light is an electromagnetic wave.

The comparison was only possible because the speed of light had finally been measured on Earth. In 1849 Armand Fizeau fired light through a gap in a spinning toothed wheel, off a mirror 8.63 km away and back: spin the wheel fast enough and the returning light meets the next tooth instead of the gap, and the timing gives the speed.

Fizeau's toothed wheel: light passes through a gap, travels kilometres to a mirror and back, and at the right spinning speed returns to find a tooth in the wayspinning toothed wheelmirrorback from 8.63 km, it meets a toothtime for one half-tooth of turn = time for the round trip: c follows
FIG. 3Fizeau's measurement: at the first spin rate that blocks the returning light, the round trip has taken exactly the time for the wheel to advance half a tooth.

Fizeau's result, close to 3.1 × 108 m s−1, mattered twice over: it made c a terrestrial, checkable quantity, and refinements of the method soon showed light travelling slower in water than in air, exactly as Huygens required and Newton forbade. Then in 1887 Heinrich Hertz closed the case from the other side: sparks in his laboratory generated invisible waves that reflected, refracted and formed stationary waves, and their measured speed came out at Maxwell's c. Radio waves existed, light had a family, and the wave theory had its medium-free waves.

YOUR TURN

Hertz's stationary waves

Hertz set up stationary radio waves with adjacent nodes 2.5 m apart, from an oscillator of frequency 6.0 × 107 Hz. Find the speed of his waves and state the significance, before opening the working.

Show the working

Adjacent nodes sit half a wavelength apart, so λ = 5.0 m, and c = fλ = 6.0 × 107 × 5.0 = 3.0 × 108 m s−1.

Invisible waves made from electricity, travelling at exactly the speed of light: Maxwell's prediction confirmed, and the electromagnetic spectrum thrown open beyond the visible.

TRY IT UNSEEN

Fizeau's arithmetic

Fizeau's wheel had 720 teeth and the mirror stood 8.63 km away. The returning light was first blocked at 12.6 revolutions per second. Estimate the speed of light.

Show the working

First blocking means the wheel advanced half a tooth during the round trip: a rotation of 1/1440 of a turn, taking t = 1/(1440 × 12.6) = 5.51 × 10−5 s.

c = 2d/t = 2 × 8630 / 5.51 × 10−5 = 3.1 × 108 m s−1: within a few per cent of the modern value, from a cogwheel and a distant hill.

THE EXAM BIT

  • Compare the theories as a table in prose: both explain reflection and refraction, but corpuscles need light faster in glass and waves need it slower. That speed disagreement is the examiner's favourite sentence.
  • The reasons Newton's theory was preferred are two: no diffraction of light had been observed, and Newton's enormous scientific authority. Give both.
  • Young's fringes score through cancellation: only waves can arrive out of step and produce darkness from two sources; particle streams can only add. "Delayed acceptance" then cites Newton's standing.
  • Know what each constant means before using c = 1/√(μ0ε0): ε0 from the electric field of a charged object, μ0 from the flux density of a current-carrying wire.
  • Fizeau's implications: a terrestrial, repeatable c, later comparisons showing light slower in water (waves win), and agreement with Maxwell. Hertz then supplies radio waves at the same speed.

CHECK YOURSELF

Explain why Young's 1801 experiment did not immediately overturn the corpuscular theory, and name the two later results that settled the wave theory's victory.

Show a hint

One reason is about people; the two results are a speed comparison and a prediction confirmed.

Show the answer

Newton's authority kept the corpuscular theory respectable, and one experiment, however clean, was not enough to displace a century of consensus: acceptance of the wave picture was delayed for decades.

Measurements descended from Fizeau's method showed light travelling slower in water than in air, as the wave theory required and the corpuscular theory contradicted.

Maxwell's c = 1/√(μ0ε0) matched the measured speed of light, and Hertz then produced electromagnetic waves directly, at that same speed: light was a wave, and an electromagnetic one.

Corpuscles need light faster in glass; waves need it slower. The speed decides.

Maxwell computed c from two electrical constants, and light turned out to be his wave.

WORKBOOK

Printable practice for this topic: original exam-style questions with room to work, and a fully worked answer book. Free to use; please do not redistribute or sell.

CHECK YOUR PROGRESS

Rate how confident you feel with each objective for this lesson. Ratings are saved in this browser, on this device only.

  • Compare Newton's corpuscular theory with Huygens' wave theory, and say why Newton's was preferred.
  • Explain the significance of Young's fringes and why acceptance of the wave theory was delayed.
  • Use c = 1/√(μ₀ε₀), and outline Fizeau's and Hertz's measurements and what they implied.

Open the full revision checklist to track your progress across the whole unit.

No animated video for this topic yet; these notes stand alone. InkPhysics on YouTube.