## (solution) Electron spin, matter waves and wave mechanics If you want to

Electron spin, matter waves and wave mechanics

If you want to submit hand-drawn work (graphs, equations, etc) by taking photos of the work and uploading the images, that is acceptable so long as the work in the images is legible.
NOTE 1: Show your working in all the questions below.
NOTE 2: When making estimates, giving answers to within an order of magnitude sufficient. Answers should not contain any more than one significant figure (for example, in Q1, you answer should be along the lines of "Usain Bolt's wavelength is:" 6 x 10^-9m  and  not 6.3247563x 10^-9m
1) Usain Bolt can run the 100 meters in under 10 seconds. Let's say he weighs 200lb, give or take. Estimate his wavelength during a 100 meter race. Given your answer, is the wave-like nature of Usain Bolt observable? Will it play an important role in a 100m race?

2) If an electron is bound to an atom, what is the maximum order of magnitude its wavelength can be? Explain why.

3) Use the information given in Q3 to estimate smallest the velocity of an electron can be, and still be bound to an atom. What percentage of the speed of light is that?

4) write 2 references to be added at the end of homework.

5) Write a 2 paragraphs of comment about  unit vector notation and its relation to bra-ket notation  Particularly, precisely explain something you don't understand or would like more clarification on. This part will be posted to the discussion homework.

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This question was answered on: Jan 30, 2021

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