The velocity of an electron can be described by the equation associated with de Broglie's hypothesis, which relates the wavelength (λ) of a particle to its momentum (p):
λ = h / p,
where: λ is the wavelength of the electron, h is the Planck constant (approximately 6.626 x 10^(-34) Joule-seconds), p is the momentum of the electron.
The momentum of an electron can be calculated using the classical definition of momentum:
p = m * v,
where: p is the momentum of the electron, m is the mass of the electron (approximately 9.10938356 x 10^(-31) kilograms), v is the velocity of the electron.
Combining these equations, we can express the velocity (v) of an electron as:
v = p / m = (h / λ) / m.
This equation allows you to calculate the velocity of an electron given its wavelength or vice versa, using the principles of quantum mechanics and the de Broglie hypothesis.