An electron and a photon having the same wavelength will have the same energy.

Question

Quizplus · Accepted Answer

Electrons have mass and therefore have kinetic energy even when they have the same wavelength as a photon. The energy of an electron is given by E = (1/2)mv^2, where m is the mass of the electron and v is the velocity. Even if the electron has the same wavelength as a photon, its energy will be different due to its mass. In contrast, the energy of a photon is given by E = hf, where h is Planck's constant and f is the frequency of the photon. Since wavelength and frequency are related by the equation c = λf (where c is the speed of light), a photon with a particular wavelength will always have the same frequency and therefore the same energy.

An Electron and a Photon Having the Same Wavelength Will