Section 10.9: Mixed Practice
Practice problems covering all concepts in Chapter 10: Atomic Models, Quantum Theory, Photoelectric Effect, Wave-Particle Duality, Nuclear Physics, Radioactivity, and Special Relativity.
- A photon has a wavelength of 600 nm. Calculate its energy.
- An isotope has a half-life of 5 days. How much of a 40 g sample remains after 15 days?
- A 0.5 kg particle moves at 0.9c. Calculate its relativistic momentum.
- Length contraction: A rod of proper length 8 m moves at 0.6c. What is its contracted length?
- Calculate the stopping time for a radioactive sample with decay constant λ = 0.02 s⁻¹.
- An electron is ejected from a metal surface by light of frequency 8 × 10¹⁴ Hz. Work function of the metal is 3.2 × 10⁻¹⁹ J. Find the kinetic energy of the electron.
- Time dilation: A spaceship moves at 0.7c. 10 hours pass on the ship. How much time passes on Earth?
- Compare the momentum of a 50 kg person running at 5 m/s and a 1000 kg car moving at 0.25 m/s.
- Calculate the energy of a gamma-ray photon with frequency 1 × 10²⁰ Hz.
- A radioactive sample decays to 25% of its original amount in 6 hours. Find its half-life.