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Waves and modern · AP Physics 2 · 7 min

Waves, optics, and photons depend on the model you choose

Physics 2 often tests whether you know which representation fits the situation: ray, wavefront, interference, or photon.

01 The trap

Where the wrong model begins.

Wrong path

Students use a memorized equation before deciding whether the problem is geometric optics, physical optics, or quantum energy.

Why it feels right

The units share vocabulary like wavelength, frequency, energy, and intensity, so problems can look more similar than they are.

02 Correct model

The first-principles repair.

model repair

Use ray diagrams for image formation, path difference for interference, wave speed relations for media changes, and E = hf for photon energy.

  1. 01Identify the representation: ray, wave, or photon.
  2. 02For a boundary, keep frequency fixed and change speed/wavelength.
  3. 03For interference, compare path difference to wavelength.
  4. 04For photon questions, use energy per photon rather than wave intensity language.

03 Mini-example

Same problem, cleaner model.

worked trap check

Prompt

Light enters glass from air. What happens to frequency?

Common wrong answer

Frequency decreases because the light slows down.

Correct reasoning

Frequency stays fixed across the boundary; speed and wavelength change in the new medium.

Diagnostic cue

If the question mixes wavelength, medium, and energy, decide whether it is asking about a wave property or a photon property first.

04 Guided practice

Try it before the solution.

Warm-up isolates the principle. Bridge changes the context. Contest-style requires a complete setup on less familiar geometry.

warm-upAP Physics 2

Frequency across a boundary

A light wave enters glass from air and slows down. What happens to its frequency?

Hint

Use v = fλ, but decide which quantity stays fixed.

Solution

The frequency stays the same. The speed decreases in glass, so the wavelength decreases.

Trap: Saying frequency decreases because the wave speed decreases.

bridgeAP Physics 2

Double-slit spacing

In a double-slit experiment, what happens to fringe spacing if the slit separation d is increased while wavelength and screen distance stay fixed?

Hint

Fringe spacing is inversely proportional to slit separation.

Solution

The fringe spacing decreases. Since Δy is proportional to 1/d, increasing d makes the bright fringes closer together.

Trap: Thinking wider slit separation spreads the pattern out because the slits are farther apart.

contest-styleAP Physics 2

Photoelectric threshold

Light below the threshold frequency shines on a metal. If intensity is doubled but frequency stays below threshold, are electrons emitted?

Hint

Intensity changes the number of photons per second, not the energy of each photon.

Solution

No electrons are emitted. Doubling intensity sends more photons, but each photon still has energy below the work function.

Trap: Treating higher intensity as enough energy per electron.

bridgeAP Physics 2

Double-slit fringe spacing

Light of wavelength 600 nm passes through slits separated by 0.40 mm. A screen is 2.0 m away. What is the spacing between adjacent bright fringes in the small-angle approximation?

Hint

600 nm = 6.00 × 10⁻⁷ m and 0.40 mm = 4.0 × 10⁻⁴ m.

Solution

Δy = (6.00 × 10⁻⁷)(2.0)/(4.0 × 10⁻⁴) = 3.0 × 10⁻³ m = 3.0 mm.

Trap: Substituting nanometers and millimeters without converting them to the same unit.

06 Keep learning