For an atom of mercury, an electron in the 1 s shell has a velocity of about 58 % ( 0.58 ) of the speed of light. At such speeds, relativistic corrections to the behavior of the electron are necessary. If the mass of the electron at such speeds is 1.23 m e ( where m e is the rest mass of the electron) and the uncertainty in velocity is 10 , 000 m / s , what is the uncertainty in position of this electron?
For an atom of mercury, an electron in the 1 s shell has a velocity of about 58 % ( 0.58 ) of the speed of light. At such speeds, relativistic corrections to the behavior of the electron are necessary. If the mass of the electron at such speeds is 1.23 m e ( where m e is the rest mass of the electron) and the uncertainty in velocity is 10 , 000 m / s , what is the uncertainty in position of this electron?
Solution Summary: The author explains the uncertainty principle, which states that the position and velocity of an electron cannot be accurately measured at the same time.
For an atom of mercury, an electron in the
1
s
shell has a velocity of about
58
%
(
0.58
)
of the speed of light. At such speeds, relativistic corrections to the behavior of the electron are necessary. If the mass of the electron at such speeds is
1.23
m
e
( where
m
e
is the rest mass of the electron) and the uncertainty in velocity is
10
,
000
m
/
s
, what is the uncertainty in position of this electron?
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The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY