Question #94307

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.

Expert's answer

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


xp2, x2mv, x1.65108 m.∆x∆p\geq\frac{\hbar}{2},\\ \space\\ ∆x\geq\frac{\hbar}{2m∆v},\\ \space\\ ∆x\geq1.65\cdot10^{-8}\text{ m}.


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