SUMMARY
The energy of a 500 nm photon is calculated using the formula Eph = hf = hc/λ, resulting in an energy of 2.49 eV. For a non-relativistic electron with the same wavelength, the kinetic energy is determined using K = 1/2(mv²), yielding an energy of approximately 6.03E-6 eV. The momentum of the electron is calculated as p = h/λ, resulting in a value of 1.3E-27 J·m·s. The calculations demonstrate the distinct energy levels of photons and electrons at the same wavelength.
PREREQUISITES
- Understanding of quantum mechanics principles
- Familiarity with the Planck constant (h) and its application
- Knowledge of kinetic energy formulas in classical mechanics
- Basic grasp of photon and electron properties
NEXT STEPS
- Study the relationship between wavelength and energy in quantum mechanics
- Learn about the implications of non-relativistic versus relativistic kinetic energy
- Explore the concept of momentum in quantum particles
- Investigate the applications of the Planck constant in various physics problems
USEFUL FOR
Students and educators in physics, particularly those focusing on quantum mechanics, as well as anyone interested in the energy calculations of photons and electrons.