Answer to Question #94307 in Quantum Mechanics for Glorias

Question

The natural uncertainty in the measurement of speed of an electron in an atom is
estimated to be 2.2x10^4 m/s conceding ideal set-up and error free measurement.

Answer 1

According to the uncertainty principle find the uncertainty in the measurement of location:

$$∆x∆p\geq\frac{\hbar}{2},\\ \space\\ ∆x\geq\frac{\hbar}{2m∆v},\\ \space\\ ∆x\geq1.65\cdot10^{-8}\text{ m}.$$