Maximum resolution by quantum mechanics

[lagwagon555]

Homework Statement

Microscopes are inherently limited by the wavelength of the light used. How
much smaller (in order of magnitude) can we “see” using an electron microscope
whose electrons have been accelerated through a potential difference of 50 000 V
than using red light (500 nm)?

Homework Equations

Here's the problem... I have a vague reference to (theta)N*0.002 radians, but since this isn't even an equation, I don't know if it's helpful. My lecturer puts no effort into notes at all.

The Attempt at a Solution

Herein lies the problem, I don't know where to start, since it's mostly just a plug and chug problem, and I don't know the equation. Any pointers would be hugely appreciated!

 

[tiny-tim]

Hi lagwagon555!

… I don't know where to start, since it's mostly just a plug and chug problem, and I don't know the equation. Any pointers would be hugely appreciated!

Hints: how is resolution related to wavelength?

What is the energy of each electron, and so what is its wavelength?