- Learning Goal To Understand Qualitatively And Quantitatively The Uncertainty Principle Understanding Heisenberg S Un 1 (103.96 KiB) Viewed 18 times
0.52X106-25 ..... 3.3X10^-24 . 5.2X10^-25
5.7X10^-25
6.626X10^-24
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Learning Goal: To understand, qualitatively and quantitatively, the uncertainty principle. Understanding Heisenberg's uncertainty principle is one of the keys to understanding quantum mechanics. The principle states that you can never simultaneously know the exact location and momentum of a particle. Further, it states that the more you know about the position of the particle, the less you know about its momentum, and vice versa. The uncertainty principle is more than just a statement about the difficulty of measuring such things experimentally. Rather, it states that momentum and position are not simultaneously well defined for quantum particles. In fact, Heisenberg did not call his idea the uncertainty principle; he called it the indeterminacy principle, because position and momentum are fundamentally indeterminate, not just unknown, for the waves described by quantum mechanics. Figure 1 of 4 (> wwwwwwwww Constants Periodic Table uncertainty principle is found to state that AxAp> ħ. The greater-than-or-equal-to sign indicates that some less than ideal waveforms have greater uncertainty that the minimum value of ħ. Part D In an atom, an electron is confined to a space of roughly 10-10 meters. If we take this to be the uncertainty in the electron's position, what is the minimum uncertainty Ap in its momentum? Express your answer in kilogram meters per second to two significant figures. IVE ΑΣΦ Submit xa Xb a b Ap= 6.626 10 √x vx x -24 Previous Answers Request Answer Part E Complete previous part(s) x1x1 B ? X.10n X kg m/s . X Incorrect; Try Again; One attempt remaining Notice that the follow-up comment to Part C gives you a more accurate version of the uncertainty principle. Use this version instead of the approximate one that you derived in that part.