Advanced Practice Problems

1. A photon of wavelength 200 nm strikes a metal surface with work function 2.0 eV. Calculate the maximum kinetic energy of the emitted electrons.
2. An alpha particle is emitted from a nucleus with energy 5.0 MeV. Determine its speed.
3. Calculate the binding energy per nucleon for a nucleus with mass defect 0.025 u.
4. A radioactive isotope decays from 80 g to 10 g in 12 hours. Find its half-life.
5. Determine the wavelength of an electron accelerated through 1 kV.
6. Energy levels of hydrogen: calculate the wavelength of photon emitted when electron drops from n=3 to n=2.
7. Mass-energy equivalence: calculate energy released in fusion of 0.01 kg of deuterium to helium-4.
8. Explain why nuclear fission releases more energy than chemical reactions using mass-energy concepts.
9. Calculate the decay constant of a nuclide if 30% decays in 2 hours.
10. Discuss the significance of wave-particle duality in interpreting electron diffraction experiments.