Equations 9.33 and 9.34 can be combined and rearranged to find the quantized velocity of an electron in the Bohr hydrogen atom. (a) Determine the expression for the velocity of an electron. (b) From your expression, calculate the velocity of an electron in the lowest quantized state. How does it compare to the speed of light ? ( c = 2.9979 × 10 8 m / s ) (c) Calculate the angular momentum L = m v r of the electron in the lowest energy state of the Bohr hydrogen atom. How does this compare with the assumed value of the angular momentum from equation 9.33 ?
Equations 9.33 and 9.34 can be combined and rearranged to find the quantized velocity of an electron in the Bohr hydrogen atom. (a) Determine the expression for the velocity of an electron. (b) From your expression, calculate the velocity of an electron in the lowest quantized state. How does it compare to the speed of light ? ( c = 2.9979 × 10 8 m / s ) (c) Calculate the angular momentum L = m v r of the electron in the lowest energy state of the Bohr hydrogen atom. How does this compare with the assumed value of the angular momentum from equation 9.33 ?
Equations
9.33
and
9.34
can be combined and rearranged to find the quantized velocity of an electron in the Bohr hydrogen atom. (a) Determine the expression for the velocity of an electron. (b) From your expression, calculate the velocity of an electron in the lowest quantized state. How does it compare to the speed of light?
(
c
=
2.9979
×
10
8
m
/
s
)
(c) Calculate the angular momentum
L
=
m
v
r
of the electron in the lowest energy state of the Bohr hydrogen atom. How does this compare with the assumed value of the angular momentum from equation
9.33
?
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
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