Exam prep

AP Physics 2 Unit 15: light quantises, matter waves, mass pays

Three classical certainties fall in order. Light as pure wave falls to the photoelectric effect: ejection depends on frequency, not brightness, so light arrives in energy packets. Particles as pure particles fall to de Broglie: electrons diffract. Continuous energy falls to atomic levels: spectra are fingerprints.

DownloadApp StoreSoonGoogle Play
Free to startNo adsTR & EN

Then the nucleus pays its binding bill in mass. The tool below drills all four arguments.

WeSolve+ reads the whole document and writes the questions for you

Upload your PDF, photograph your notebook, or point the camera. WeSolve+ writes questions from that material, explains why each answer is right, reads the chapter back to you as a podcast, and remembers every item you missed until you own it.

Start free!

The tool below is a small browser-only tool and it is not WeSolve+: paste a few lines and text rules turn them into cards on the spot. The real app, the one that uses AI, is behind the link above.

Unit 15 quantum arguments, from your own notes

This is a browser-only tool, and that is all it isIt splits the text you paste by rule, and nothing else. WeSolve+ is a different thing entirely: it reads your whole PDF with AI, writes the reasoning behind every question, speaks the chapter back to you, and remembers what you missed so it can return it. Try the real app now, free!

This is a text splitter rather than a tutor. It turns pasted lines into cards by rule, and a gap in the paste is a gap in the deck.

The photoelectric effect is an argument, so learn it as one

Classically, brighter light should eject electrons eventually at any colour. Measured: below a threshold frequency nothing ejects however bright, and above it ejection is instant however dim. The photoelectric effect therefore prices light in photons of energy h f: frequency sets each packet's size against the work function, intensity only sets how many arrive. State the observation, then the conclusion.

Matter waves: de Broglie turns the tables

De Broglie assigns every moving particle a wavelength of h over momentum, and electron diffraction confirms it: particles interfere like waves when the slit matches the wavelength. The scale explains the classical illusion, everyday momenta make wavelengths absurdly small, and exam questions ask exactly that: why electrons diffract and baseballs do not.

Energy levels make spectra into fingerprints

Electrons in atoms occupy discrete levels, and light is emitted or absorbed only in jumps: each photon's energy equals the gap, so each element's spectrum is a fingerprint of its level ladder. Bigger jumps make bluer lines. Given a level diagram, count the possible jumps for the line count, and match the largest gap to the shortest wavelength: both are standard moves.

Nuclear decays follow conservation bookkeeping

Alpha decay emits a helium nucleus, dropping two protons and two neutrons; beta decay converts a neutron to a proton with an electron emitted, charge conserved by the books; gamma sheds pure energy from an excited nucleus. Decay equations are audits: mass number and charge must balance across the arrow, and the exam grades the audit, not memory of which isotope does what.

Half life and the mass defect close the books

Half life halves the remaining sample on a fixed clock, whatever the starting amount, so activity questions are powers of one half. Binding energy comes from the mass defect: a nucleus weighs less than its parts, and the difference, cashed through E equals m c squared, is the energy holding it together. Fission and fusion both run downhill toward tighter binding, releasing the difference.

What to photograph for Modern Physics

Your level diagrams and decay audits. Related: Unit 14, photo to quiz and pricing.

Sources used on this page

Claim that falls, the evidence, the replacement
Classical claimThe evidence againstThe replacement
Light is only a waveThreshold frequencyPhotons of energy h f
Matter is only particlesElectron diffractionWavelength h over momentum
Energy is continuousLine spectraDiscrete level ladders
Mass is conserved aloneMass defectMass and energy trade
Decay is arbitraryBalanced equationsCharge and nucleon audits
Amounts fade smoothlyFixed halving clockHalf life powers of one half

What does AP Physics 2 Unit 15 cover?

Modern physics: the photoelectric effect, matter waves, atomic energy levels and spectra, nuclear decay, half life and mass energy equivalence.

What does the photoelectric effect prove?

Light arrives in photons: frequency sets each packet's energy against the work function, and intensity only sets how many packets arrive.

Why do electrons diffract but baseballs do not?

Wavelength is h over momentum: electron momenta are small enough for wavelengths near atomic spacings, everyday momenta make them immeasurably small.

How do I read an energy level diagram?

Each emission line is a downward jump: photon energy equals the gap, so the largest gap gives the shortest wavelength line.

What balances in a decay equation?

Mass number and charge across the arrow: alpha drops four and two, beta converts a neutron with an electron keeping the charge books straight.

Can I build questions from my own Unit 15 notes?

Yes. Whatever you upload sets the boundary. Photograph the pages or send the chapter as a PDF and the questions stay inside it.

Last updated: 2026-08-15