Question

how to calculate the energy of a single electron?

Answer 1

Photoelectric effect is described as
hν = F + Ke where:

h - Planck's constant,
ν - the frequency of the incident photon,
F - is the work function (sometimes denoted W instead), the minimum energy required to remove an electron from the surface of any given metal,
Ke - is the maximum kinetic energy of ejected electrons,
ν0 - the threshold frequency for the photoelectric effect to occur,
m - the rest mass of the ejected electron, and
Vm - the velocity of the ejected electron.

The work function is
F = h ν0
And kinetic energy of an ejected electron is
Ke = 0.5mVm^2

This all you need.

Answer 2

the m after 0.5 is the mass? and then V is multiplied as well by mass squared?

Answer 3

its rest mass

Answer 4

and I am not given any velocity either

Answer 5

More context is needed here. There are at least four ways to interpret this question

- An electron (or any electric charge) has a electrostatic potential energy in the presence of other charges. Are there other charges here?

- A variation on the last one: is the electron bound to a particular atom

- If the electron is in motion it has kinetic energy

- The electron also has an equivalent energy to its mass, given by the formula, \( E = mc^2 \)

Given that, do any of these contexts appear germane to your question? If so, which?

if not, can you tell us more about in what context you are studying electrons right now so we can help you interpret your question.

Answer 6

I was able to solve with E=mc^2 because no other information was given. Thanks