Question

Do electrons have a fixed wavelength?

Answer 1

Momentum and wavelength of the electron.

The electron's wavelength is determined by its momentum. The formula is used to calculate the electron's momentum is $p=m\times v$

Where $p$ is the momentum

$m$ is the mass of the electron

$v$ is the velocity of the electron

The wavelength of the electron is given by

$\lambda =\frac{h}{p}$

Where $\lambda$ is the wavelength of the electron

$h$ is the Planck's constant $\left(h=6.6\times {10}^{-34}\raisebox{1ex}{$kg{m}^2$}\!\left/ \!\raisebox{-1ex}{$s$}\right.\right)$

Explanation

The formula for wavelength is called the de Broglie relation and the $\lambda$ is the de Broglie wavelength of the electron. We know that slow-moving electrons have a longer wavelength than faster-moving electrons because of the de Broglie relation. Hence, electrons will not have fixed wavelengths.