Waves, sound and light

Waves, sound and light is an interactive 3D walkthrough showing that water ripples, sound and light are all described by one model — the wave: something travels while the medium mostly stays put. You learn to read every quantity off a single wave (amplitude A, wavelength λ, period T, frequency f), tie them together with the wave equation v = λ·f, and follow that same model through sound (decibels, standing waves, the Doppler effect) and light (reflection, refraction, dispersion and the electromagnetic spectrum). It is built for Danish upper-secondary physics (Fysik C/B/A) and covers the wave part of the curriculum end to end.

What you'll learn

What is the difference between a transverse and a longitudinal wave?

In a transverse wave the particles move across the direction the wave travels (like a wave on a string or rope), while in a longitudinal wave they move back and forth along the travel direction (like sound in air, which is a pressure wave of compressions and rarefactions). A water surface wave is actually both at once — each water particle traces a small circle.

What is the wave equation v = λ·f?

v = λ·f says a wave's speed equals its wavelength times its frequency, because in one period T the wave advances exactly one wavelength. Combined with f = 1/T it links speed, wavelength and frequency; for light it becomes c = λ·f with c ≈ 3.0·10⁸ m/s.

Why is 0 dB not silence?

Because the decibel scale L = 10·log(I/I₀) is measured relative to a reference intensity I₀ = 10⁻¹² W/m², which is the faintest sound a person can hear — not zero sound. 0 dB just means the intensity equals that threshold; doubling the intensity adds about 3 dB and tenfold adds exactly 10 dB.

How does the Doppler effect work?

When a source moves, its wavefronts bunch up ahead of it (shorter wavelength, higher pitch) and stretch out behind it (longer wavelength, lower pitch) — which is why a passing siren drops in pitch. The same effect lets ultrasound measure blood flow, with a shift Δf = 2·f₀·v·cosθ/c_tissue.

Why does light bend when it goes from air into water?

Light slows down in water, and because the wavefront's leading edge slows first the whole front swivels and bends toward the normal — this is refraction. The frequency stays the same, so the wavelength shortens, and the bending follows Snell's law n₁·sinθ₁ = n₂·sinθ₂ with n = c/v.