Chemistry: An electron is confi ned to a linear region with a length of the same order as the diameter of an atom (about 100 pm). calculate the minimum uncertainties in its position and speed.

An electron is confi ned to a linear region with - id4701793, bahjaMcclatchey1110

infoneetusinghoyg22o

16.01.2022

Explanation:

The minimum uncertainty position is 100 nm.

Therefore, by Heisenberg Uncertainty principal

ΔxΔp≥h/2

Δp≥h/(2Δx)

we know that

h= $1.0546\times10^{-34}$ Js

Δx= $100\times10^{-12} m$

therefore,

$\Delta p =\frac{1.0546\times10^{-34}}{2\times12\times10^{-12}} = 5.3\times10^{-25} kgms^{-1}$

therefore,

$\Delta v= \frac{\Delta p}{m} =\frac{5.3\times10^{-25}}{9.11\times10^{-31}}= 5.8\times10^{5} ms^{-1}$

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christopher766

03.03.2020

li = 2

S = 1

O = 4

= 7

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