PHYSICS F./SCI... W/MOD V.II W/KIT
4th Edition
ISBN: 9780134819884
Author: GIANCOLI
Publisher: PEARSON
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Question
Chapter 39, Problem 69GP
(a)
To determine
All possible values of angle
(b)
To determine
The value for the angle
(c)
To determine
The value for the angle
(d)
To determine
The minimum value of the angle
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H-atom. The wave function of one of the electrons in the 2p orbital is given by (ignoring spin)
r
2,1,0 (1,0,0)=
- 7 exp(-270) c
ao
1
|32πα
cose
Where do is the Bohr radius. In the Bohr model, the radius of the electron orbit is given by m=2 =
n²ao = 4ao. The probability that the electron can be found at some radius between r and r + dr is
given by
2π
P(r) dr = √2
= √ ₁²ª d$ S ²
What is the expectation value of the distance of the electron from the nucleus (r)?
Clue: expected value is computed by (r) = forP(r) dr then do integration by parts
do sin 0 de | Yn.l.m² (r, $,0)|²r² dr
(a) The L→ K transition of an X-ray tube containing a molybdenum (Z = 42)
target occurs at a wavelength of 0.0724 nm. Use this information to estimate
the screening parameter of the K-shell electrons in molybdenum.
[Osmania University]
H-atom. The wave function of one of the electrons in the 2p orbital is given by (ignoring spin)
1
r
(-2) Cos
cos
2,1,0 (r, 0,0) = .
2πT
· do
|32πα
P(r)dr =
Where ao is the Bohr radius. In the Bohr model, the radius of the electron orbit is given by ™-2
n²ao = 4ao. The probability that the electron can be found at some radius between r and r + dr is
given by
r
ao
TU
$ST
-exp
sin 0 d0 | Yn.l.m² (r, ¢, 0)|²r² dr
=
What is the most probable distance of the electron from the nucleus?
Clue: Most probable r is located at a local maxima of the probability density P(r). Thus, solve for r
in a,P(r) = 0
Chapter 39 Solutions
PHYSICS F./SCI... W/MOD V.II W/KIT
Ch. 39.2 - Prob. 1AECh. 39.2 - Prob. 1BECh. 39.3 - Prob. 1CECh. 39.4 - Prob. 1DECh. 39.4 - Prob. 1EECh. 39.5 - Prob. 1FECh. 39.7 - Prob. 1GECh. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3Q
Ch. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10QCh. 39 - Prob. 11QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 16QCh. 39 - Prob. 17QCh. 39 - Prob. 18QCh. 39 - Prob. 19QCh. 39 - Prob. 20QCh. 39 - Prob. 21QCh. 39 - Prob. 22QCh. 39 - Prob. 23QCh. 39 - Prob. 24QCh. 39 - Prob. 25QCh. 39 - Prob. 26QCh. 39 - Prob. 27QCh. 39 - Prob. 28QCh. 39 - Prob. 29QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61GPCh. 39 - Prob. 62GPCh. 39 - Prob. 63GPCh. 39 - Prob. 64GPCh. 39 - Prob. 65GPCh. 39 - Prob. 66GPCh. 39 - Prob. 67GPCh. 39 - Prob. 68GPCh. 39 - Prob. 69GPCh. 39 - Prob. 70GPCh. 39 - Prob. 71GPCh. 39 - Prob. 72GPCh. 39 - Prob. 73GPCh. 39 - Prob. 74GPCh. 39 - Prob. 75GPCh. 39 - Prob. 76GPCh. 39 - Prob. 77GP
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