Section 10.10: Chapter 10 Test

Comprehensive test covering all topics in Chapter 10: Atomic Models, Quantum Theory, Photoelectric Effect, Wave-Particle Duality, Nuclear Physics, Radioactivity, and Special Relativity.

  1. Calculate the energy of a photon with wavelength 500 nm.
  2. An isotope has a half-life of 10 hours. If you start with 80 g, how much remains after 30 hours?
  3. Electron ejected from a metal has kinetic energy 2 × 10⁻¹⁹ J. The incident light has energy 5 × 10⁻¹⁹ J. Determine the work function of the metal.
  4. A spaceship travels at 0.8c. If 5 hours pass on the spaceship, how much time passes on Earth?
  5. Calculate the relativistic momentum of a 0.2 kg particle moving at 0.9c.
  6. Length contraction: A rod of proper length 12 m moves at 0.6c. Find its contracted length.
  7. Determine the decay constant of a radioactive isotope with half-life of 4 days.
  8. A photon has frequency 7 × 10¹⁴ Hz. Find its energy.
  9. An alpha particle is emitted from a radioactive nucleus with kinetic energy 5 × 10⁻¹³ J. Calculate its velocity.
  10. A particle at rest decays into two photons. If one photon has energy 3 × 10⁻¹³ J, what is the energy of the other photon?