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Problem

(a) If the position of a chlorine ion in a membra…
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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84

Problem 62 Hard Difficulty

(a) If the position of an electron in a membrane is measured to an accuracy of 1.00$\mu \mathrm{m}$ , what is the electron's minimum uncertainty in velocity? If the electron has this velocity, what is its kinetic energy in eV? (c) What are the implications of this energy, comparing it to typical molecular binding energies?

Answer

a) 57.9 $\mathrm{m} / \mathrm{s}$
b) $9.52 \times 10^{-9} \mathrm{eV}$
c) This kinetic energy of the electron is approximately 9 orders of magnitude smaller than typical molecular binding energies.

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Physics 103
College Physics for AP® Courses

Chapter 29

Introduction to Quantum Physics

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Video Transcript

So in this problem, we know that Ah, the the position uncertainty off the electron that ax as one like a meter. And, uh, according to the head Zinberg uncertain in law, we have expression down acts that a p times that if he is greater or equal to H over full pie. So here we only use the equal case. Okay, so we can see that that would be equal, H D Bye bye. Full pie times that x ray and ah, you have to know that that key here equal 5.28 times 10 to the 29th kilogram meters per second and the devil p equal m times that of the right so that he's the change of the velocity so cramped in the dead of equal. Ah, 58 made up a second. All right, so this is the velocity uncertainty of this electoral. So this part A and in part b suppose the electron has this Ah, has this much of ah velocity Want to know that kind of energy on this so equal half and times that of the squid, right? So we can simply get the solution. So this is nine point 56 times 10 to the *** knives, electro volts and in part, see Ah. So typically the bunny energy off the mod accuse arranges around wind travels to take electro volts and clarity. This one is much smaller than the money energy of the monarchy.

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