Limiting Electron Speed: The Smallest 1D Box

[doublemint]

What is the smallest 1D box in which you can confine an electron if you want to know for certain that the electron's speed is no more than 10m/s?

I am guessing it has to do with the wave function, but I have no idea where to start...

Any help would be great!

DoubleMint

 

[marcusl]

Think about the uncertainty principle...

 

[doublemint]

mmm i see it. v = p/m which p=h/2L where is the length of the box!
Thanks!