What Minimum Kinetic Energy is Required for Electrons to See an Atom?

[aquabum619]

Homework Statement

The resolving power of a microscope depends on the wavelength used. If one wishes to "see" an atom, a resolution of approximately 1.00 x 10^-11m would be required.
a) If electrons are used (in an electron microscope), what minimum kinetic energy is required for the electrons?

Homework Equations

Ek = 1/2 mv^2 (kinetic energy equation)
electron mass 9.11 x 10^-31kg
c = wavelength x frequency

The Attempt at a Solution

using the kinetic energy equation, I have 2 variables to consider. velocity (v) and kinetic energy (Ek) and how does wavelength fit into the question?

 

[Andrew Mason]

Homework Statement

The resolving power of a microscope depends on the wavelength used. If one wishes to "see" an atom, a resolution of approximately 1.00 x 10^-11m would be required.
a) If electrons are used (in an electron microscope), what minimum kinetic energy is required for the electrons?

Homework Equations

Ek = 1/2 mv^2 (kinetic energy equation)
electron mass 9.11 x 10^-31kg
c = wavelength x frequency

The Attempt at a Solution

using the kinetic energy equation, I have 2 variables to consider. velocity (v) and kinetic energy (Ek) and how does wavelength fit into the question?

You have to use the De Broglie wavelength for the electron.

AM