SUMMARY
The discussion focuses on calculating the wavelength of a photon that possesses the same momentum as an electron traveling at 1.0 x 106 m/s. The correct wavelength is determined to be 0.73 nm. Key equations utilized include kinetic energy (Ek = (m*v2)/2), the relationship between energy and momentum (p = E/c = hf/c = h/λ), and the photoelectric effect equations. The solution involves calculating the electron's momentum and substituting it into the equation for wavelength.
PREREQUISITES
- Understanding of kinetic energy calculations
- Familiarity with the photoelectric effect concepts
- Knowledge of momentum and its relation to wavelength
- Proficiency in using Planck's constant (h) and the speed of light (c)
NEXT STEPS
- Study the derivation of the photoelectric effect equations
- Learn about the relationship between momentum and wavelength in quantum mechanics
- Explore advanced applications of Planck's constant in photon calculations
- Investigate the implications of the photoelectric effect in modern physics
USEFUL FOR
Students in physics, particularly those studying quantum mechanics and the photoelectric effect, as well as educators looking for practical examples of photon and electron interactions.