What Will the Wavelength Be When Electrons Are Accelerated in an Electron Microscope?

How to calculate the wavelength of electrons in an electron microscope?

Given the accelerating voltage of 2450 V, what will be the wavelength of the electrons?

Options:

a) 8.113 nm

b) 0.622 nm

c) 0.811 nm

Calculation and Final Answer:

The wavelength of the electron microscope is 2.472*10⁻²⁰ m.

When electrons are accelerated by 2450 V in an electron microscope, they will have wavelengths of approximately 0.622 nm.

Explanation:

When electrons are accelerated by 2450 V in an electron microscope, the equation to calculate the wavelength is:

wavelength (in nm) = 12.27 / square root of voltage (in V)

Using that equation, the wavelength of the electrons would be approximately 0.622 nm (option b).