Potential Difference in and Electron/de Broglie Equation

[wilywilly0]

Homework Statement

Through what potential difference should you accelerate an electron from rest, such that it's de Broglie wavelength will be 0.1 nm.

Homework Equations

E = hf
λf = c

The Attempt at a Solution

My Thinking was;

E = hf
E = hλ/c
E= 6.626e-34 * 1e-10/3e8

which turned out 2.21e-58 J, which I'm pretty sure is wrong.

Anyone with some ideas or a worked solution would be fantastic :D

Regards all,

Will.

 

[jdougherty]

You're right so far, though you should re-check your final calculation, since you're off by a couple orders of 10. So now you need to figure out what voltage difference is going to supply the energy you calculated. I would recommend converting the energy you calculate into electron volts, since those will make the voltage calculation easier.

 

[wilywilly0]

Solved, 150V, thanks jd :)

Will.