All the worked exercises and problems of the chapter, solved step by step, in order of appearance in the book: first the guided exercises in the text (Compton, hydrogen atom, photoelectric effect), then the end-of-chapter problems (numerical, conceptual, true/false, ranking, graphs, proofs, Fermi estimates and thought experiments) on photons, de Broglie, the Bohr model, uncertainty, black-body radiation and wave-particle duality.
Worked exercises in the text
End-of-chapter problems
- Energy of a green light photon
- Intense red photon and work function
- Energy of an ultraviolet photon
- Stability of the atom and Rutherford’s model
- De Broglie wavelength of an electron at 70 V
- Blue LED and semiconductor gap
- Bridging Malus’s law and the single photon
- Hydrogen levels, Balmer and Lyman
- Derive the radius of the Bohr orbit
- Confined electron and uncertainty
- Compton scattering at 90 degrees with X-rays
- Ranking the energies of four photons
- Why X-rays are not just intense light
- Deriving h and W from the photoelectric graph
- Double slit, which intensity graph
- Electron at 300 V and crystal diffraction
- Energy of a blue photon at 400 nm
- Photoelectrons from sodium at 345 nm
- De Broglie wavelength of an electron at 300 V
- Detector at the slits and interference
- Ranking de Broglie wavelengths: electron, proton, photon
- True or false on quantum physics
- Uncertainty of a projectile
- Temperature of the Sun using Wien’s law
- Why matter does not collapse
- X-rays from ionised fluorine
- Thought experiment, reducing h and atomic volume
- Current from an illuminated semiconductor
- Polarizer and photon counting
- Why the atom does not collapse (standing wave)
- Quantum probability versus determinism
- The single-electron paradox
- The n=3 level of hydrogen and the H-alpha line
- De Broglie wavelength of an electron at 100 V
- Energy of a green photon at 530 nm
- Ranking the energies of the H levels
- Ranking transition frequencies
- From lambda to the initial level (Balmer)
- Deriving h from photoelectric data
- Thought experiment, h multiplied by ten
- Thought experiment, a universe without Pauli
- Stellar spectrum and the line at 397 nm
- Uncertainty of the electron in an atom
- Collapse of the wave function at the polarizer
- Wave-particle complementarity
- Black body at different temperatures
- Hydrogen levels as horizontal lines
- Fermi estimate, atoms in an apple
- Fermi estimate, photons from an LED
- Infinite potential well
- Spectral width and mean lifetime
- Bell and hidden variables