Answer to Question #94312 in Quantum Mechanics for Golrias

Question #94312
The natural uncertainty in the measurement of speed of an electron in an atom is

estimated to be 2.2x10^4 m/s
1
Expert's answer
2019-09-13T10:16:14-0400

We can apply Heisenberg uncertainty principle to find the natural uncertainty in the measurement of the particle's position:


xp2, x2mev=1.05510342[9.1091031][2.21034], x2.631109 m.∆x∆p\geq\frac{\hbar}{2},\\ \space\\ ∆x\geq\frac{\hbar}{2m_e∆v}=\frac{1.055\cdot10^{-34}}{2\cdot[9.109\cdot10^{-31}]\cdot[2.2\cdot10^{-34}]},\\ \space\\ ∆x\geq2.631\cdot10^{-9}\text{ m}.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment