COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 26, Problem 79QAP
To determine
(a)
The speed of an electron in the nthBohr orbit.
To determine
(b)
The angular momentum of an electron in the nthBohr orbit.
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SEATWORK 1
• Using the periodic table of elements. Determine the atomic number
and predict the name of element and element symbol from the given
number of electrons.
Number of Electrons
Atomic Number
Element name
Element Symbol
29
30
19
14
26
LET US TRY THIS
Fill in what is missing in the Zapen table.
Element
(p+)
(e-)
(nº)
Symbol
Mg
12
24
Al
13
14
16
32
SEATWORK 2
Element
Z
A
(p+)
(e-)
(nº)
Symbol
Са
20
40
9.
10
•19 O Figure 39-28a shows the energy-level diagram for a fi-
nite, one-dimensional energy well that contains an electron. The
nonquantized region begins at E= 450.0 eV. Figure 39-28b gives
the absorption spectrum of the electron when it is in the ground
state-it can absorb at the indicated wavelengths: A=14.588 nm
and Ag = 4.8437 nm and for any wavelength less than A, = 2.9108
nm. What is the energy of the first excited state?
%3D
- Nonquantized
E4
Es
E2
(b)
(a)
Energy
(b) According to Bohr's atomic model, a one-electron system is described by the atomic number Z
and the speed vn of the electron at a radius m in the n-th quantum orbit:
Z.e²
1
h²
€0
Vn
=
2.h.Eon
rn
•N²
π
●
me e². Z
me
(i) Calculate the radius and the velocity for the first quantum orbit of the single ionised helium
atom.
(ii) Calculate the value for the velocity uncertainty, Avx, of the electron in the singly ionised
helium atom results, if a spatial uncertainty Ax of the electron is assumed to be the diameter
of the first quantum orbit.
(iii) Explain the relationship between simultaneous measurements of Bohr's orbit radius and the
orbit speed on the first quantum orbit.
●
Chapter 26 Solutions
COLLEGE PHYSICS
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