Imagine a line whose length equals the diameter of the

Chapter 28, Problem 7SL

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Imagine a line whose length equals the diameter of the smallest orbit in the Bohr model. If we are told only that an electron is located somewhere on this line, then the electron’s position can be specified as \(x=0 \pm r_1\), where the origin is at the line’s center and \(r_1\) is the Bohr radius. Such an electron can never be observed at rest, but instead at a minimum will have a speed somewhere in the range from \(v=0-\Delta v\) to \(0+\Delta v\). Determine \(\Delta v\).

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