Unit 57: Particle Waves
Practice Problems
Note: problem difficulty is ranked using a star system.
(*) One-star problems are fundamental to the unit, and can be done relatively quickly. Use these problems to introduce yourself to the material.
(**) Two-star problems are more difficult, and require an understanding of one or two key concepts. Use these problems to test your understanding of the material.
(***) Three-star problems are the most difficult, and require some creative thinking in addition to a deep familiarity with multiple key concepts. Use these problems to challenge yourself; if you can complete one of these, you’re on your way to mastering the material.
*Q57.1) What’s the wavelength of an electron travelling at 1% the speed of light?
*Q57.2) What’s the momentum of a proton with a wavelength of 1nm?
**Q57.3) What’s the wavelength of an electron with the same energy as a photon of 400nm blue light?
***Q57.5) Why are electron microscopes able to achieve much better resolutions than conventional optical microscopes?
**Q57.4) At what speed must a proton travel to have the same wavelength as an electron moving at 2% the speed of light?