Problem: The resolution limit of a microscope is roughly equal to the wavelength of light used in producing the image. Electron microscopes use an electron beam (in place of photons) to produce much higher resolution images, about 0.23 nm in modern instruments. Assuming that the resolution of an electron microscope is equal to the de Broglie wavelength of the electrons used, to what speed must the electrons be accelerated to obtain a resolution of 0.23 nm?

FREE Expert Solution
  • Use the de Broglie wavelength equation where

  • We need to find the v in m/s using the provided wavelength (0.23 nm) which is in nanometers (we need it in meters)
  • Use the mass of electron which is 9.11x10-31 kg
96% (27 ratings)
View Complete Written Solution
Problem Details

The resolution limit of a microscope is roughly equal to the wavelength of light used in producing the image. Electron microscopes use an electron beam (in place of photons) to produce much higher resolution images, about 0.23 nm in modern instruments. Assuming that the resolution of an electron microscope is equal to the de Broglie wavelength of the electrons used, to what speed must the electrons be accelerated to obtain a resolution of 0.23 nm?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the De Broglie Wavelength concept. You can view video lessons to learn De Broglie Wavelength. Or if you need more De Broglie Wavelength practice, you can also practice De Broglie Wavelength practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Hoeger's class at UCSD.