Practice Problems

1. Calculate the energy of a photon with wavelength 450 nm.
2. Find the momentum of an electron with wavelength 2 × 10⁻¹⁰ m.
3. A radioactive isotope has half-life 6 hours. Determine the fraction remaining after 18 hours.
4. Calculate the energy released if 0.005 kg of matter is converted completely to energy.
5. Write the nuclear equation for alpha decay of Uranium-238.
6. Determine the frequency of a photon with energy 3.0 × 10⁻¹⁹ J.
7. Explain why the photoelectric effect demonstrates particle-like behavior of light.
8. Calculate the decay constant of a nuclide with half-life 12 hours.
9. Sketch the first three energy levels of hydrogen and indicate possible transitions.
10. Explain the significance of mass defect in nuclear reactions.