# Potential difference to acquire momentum

1. Oct 3, 2014

### desmond iking

1. The problem statement, all variables and given/known data
Electron diffracation experiment show that the wavelength of a electron is 0.15nm. Find the momentum of the electron in the beam. ii) Through what the potential diffrenece should the electron accelerated from rest to acquire this momentum?

2. Relevant equations

3. The attempt at a solution
λ= h/p , p=momentum
= (6.63x10^-34) / 550x10^-9
= 4.42x10^-24kgm/s
1/2 mc2
= eV

pc = 2eV
V= pc/2e

= (4.42X10^-24) ( 3x10^8) / (2 x 1.6x10^-19)
= 4143 V

but the ans is 67V .... why i am wrong?

2. Oct 3, 2014

### Orodruin

Staff Emeritus
The electron will not be travelling at the speed of light (quite far from it). If it was anywhere close, you would also have to use relativistic expressions. As it is, the speed is relatively low and classical expressions should be fine.

3. Oct 3, 2014

### Staff: Mentor

The electrons are not moving at the speed of light; they are not photons. Your solution should not involve c.

Classically, the momentum is mv. You should know the value of the mass of the electron. So find v (and check to make sure it's well less that c so that relativity doesn't come into play!).

edit: Ha! Orodruin beat me to it!

4. Oct 3, 2014

### nasu

The wavelength of the electron is not 550 nm. Where did you get that value from?

5. Oct 3, 2014

### desmond iking

so
sorry it's a typo... it should be 0.15x10^-9