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?
Definition Definition Rate at which light travels, measured in a vacuum. The speed of light is a universal physical constant used in many areas of physics, most commonly denoted by the letter c . The value of the speed of light c = 299,792,458 m/s, but for most of the calculations, the value of the speed of light is approximated as c = 3 x 10 8 m/s.
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