Could an electron-diffraction experiment be carried out using three or four slits? Using a grating with many slits? What sort of results would you expect with a grating? Would the uncertainty principle be violated? Explain.

2. Use Heisenberg's uncertainty principle to make a more quantitative estimate of the precision with which the position and momentum of electrons can be found in the two-slit experiment. If you are able to see an interference pattern (i.e. separate a maximum from a minimum), what typical precision do you have on the wavelength of the electron, and thus what precision do you have on the momentum of the electron. Now apply Heisenberg's principle to work out the precision you have on the position of the particle. Does this help explain the wave-particle duality of electrons? You might find the discussion in this document helpful: http://physics.mq.edu.au/~jcresser/Phys301/Chapters/Chapter4.pdf Also Fead Chapters 1 and 2 of Feynman's Lectures in Physics, Volume 3.

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