The wavelength associated with an electron depends on its momentum or kinetic energy. Electrons can exhibit a range of wavelengths depending on their speed or the energy they possess.
To give you a rough idea, let's consider non-relativistic electrons with typical kinetic energies encountered in everyday situations. For example, electrons in a typical electron microscope may have kinetic energies on the order of a few keV (kiloelectron volts). In this case, the associated wavelengths of these electrons would be on the order of picometers (10^(-12) meters).
On the other hand, if we consider high-energy electrons, such as those encountered in particle accelerators or certain experiments, their kinetic energies can be much higher. For electrons with energies in the GeV (gigaelectron volt) range, their associated wavelengths would be on the order of femtometers (10^(-15) meters).
It's worth noting that the wave-like nature of electrons becomes more prominent in experiments involving interference or diffraction, where the wavelength becomes a crucial factor. In everyday scenarios, the wave-like behavior of electrons is typically not noticeable due to the extremely small scales involved.
It's important to emphasize that these estimates are based on non-relativistic considerations and simplified assumptions. For a more accurate description, particularly at higher energies or relativistic speeds, a comprehensive treatment using quantum field theory and special relativity would be necessary.