If the wavelength of a photon is the same as the de Broglie wavelength of an electron,which one has the greater momentum?
A)The electron because it has more mass.
B)The photon because it is traveling faster.
C)They both have the same momentum.

Question

Quizplus · Accepted Answer

The de Broglie wavelength of an electron is given by λ = h/p, where h is the Planck's constant and p is the momentum of the electron. The wavelength of a photon is given by λ = h/c, where c is the speed of light. If the wavelength of the photon is the same as the de Broglie wavelength of an electron, then we can equate the two equations:

h/p = h/c

This can be rearranged as:

p = h/λ = hc/λ^2

Thus, both the photon and the electron have the same momentum because they have the same wavelength. The mass or speed of the particles do not affect their momentum in this case.

If the Wavelength of a Photon Is the Same as the De