College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000



College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Suppose the velocity of an electron in an atom is known to an accuracy of 2.0 × 10 3 m/s (reasonably accurate compared with orbital velocities). What is the electron's minimum uncertainty in position, and how does this compare with the approximate 0.1-nm size of the atom?

To determine

The minimum uncertainty in position of an electron and the comparison of the value of uncertainty in position with the approximate0.1-nmsize of the atom.


Given info:

Uncertainty in velocity is,Δv=2.0×103m/s.

Formula used:

The Heisenberg's Uncertainty principle can be expressed mathematically as,



The uncertainty in momentum can be calculated as,


The smallest uncertainty in the position of electron will be,


Substituting the given values in the above equation, we get


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