SUMMARY
The de Broglie wavelength of an electron with a kinetic energy of 500 eV can be calculated using the formula λ = h/p, where h is Planck's constant and p is the momentum. The kinetic energy is converted to joules as 8.01 x 10^-17 J. To find momentum, the relationship T = p²/(2m) is utilized, allowing for the calculation of momentum from the known mass of the electron. This process leads directly to the determination of the de Broglie wavelength.
PREREQUISITES
- Understanding of kinetic energy equations
- Familiarity with Planck's constant (h = 6.626 x 10^-34 J·s)
- Knowledge of electron mass (approximately 9.11 x 10^-31 kg)
- Basic grasp of momentum concepts
NEXT STEPS
- Calculate the momentum of an electron using the kinetic energy formula T = p²/(2m)
- Research the significance of Planck's constant in quantum mechanics
- Explore the implications of de Broglie wavelength in wave-particle duality
- Learn about the applications of de Broglie wavelength in electron microscopy
USEFUL FOR
Students studying quantum mechanics, physics enthusiasts, and anyone interested in the wave-particle duality of electrons.