How Does Particle Energy Affect Microscope Resolution?

[daszlosek]

Homework Statement

Hello Everyone! I just want to make sure I am on the right track. By smallest dimension do they mean wavelength used?

An optical microscope is limited in resolution by the wavelength of light used. It cannot "resolve" matter, the dimensions of which are of the same order or smaller than the wavelength used.

a) What is the smallest dimension that can normally be resolved using 8 keV electrons?
b) What is the smallest dimension that can normally be resolved using 9 keV x-rays?
c) What is the smallest dimension that can normally be resolved using 10 keV protons?

Homework Equations

E = hc/λ

The Attempt at a Solution

E = hc/λ standard plug and chug where 1Kev = 1.602x10-16 J/s

 

[rude man]

Homework Statement

Hello Everyone! I just want to make sure I am on the right track. By smallest dimension do they mean wavelength used?

yes. it's a "rule-of-thumb".

E = hc/λ standard plug and chug where 1Kev = 1.602x10-16 J/s

yep.