COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 30QAP
To determine
The number of orbits around the nucleus that an electron makes in 10-8 s
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•22 o Figure 40-23 is an energy-level
diagram for a fictitious infinite potential
E (/8ml*)
well that contains one electron. The num-
12
Non
ber of degenerate states of the levels are
indicated: "non" means nondegenerate
11
Triple
(which includes the ground state of the
electron), "double" means 2 states, and
"triple" means 3 states. We put a total of
Double
Triple
11 electrons in the well. If the electro-
Ground
static forces between the electrons can be
neglected, what multiple of h2/8mL? gives
the energy of the first excited state of the
11-electron system?
Figure 40-23
Problem 22.
1. (a) Calculate the divergence of ā = x'â +2y' zŷ +3zx2.
.
2 8
2yZY+
Le t x x xe=A
3zx2
2 1
3 2
= 2x :+4yZ + 3x
4 5
8/8
5 3
T 26
40
(b) Calculate the curl of b = x y & + 2y zŷ + 3zx2.
Vx Z =
ze
32X
2yZ
2yZ-
XY
-(0-2)2-(32- 0) 4 +(0 - x)2
=62y1-62)9-6)Ź
2. Discuss the equivalence between (x, z, 7) and (x, y, n + (1 – T) T) when z = (x, y, t). Can you
-
think of circumstances under which they would not be viewed as equal?
Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
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- iii) Consider a 2D square potential energy well with sides L (length) containing six electrons. The potential energy is infinite at the sides and zero inside. The h? single-particle energies are given by 8mL +n), where n and ny are integers. If a seventh electron is added to the system when it is in its ground state find the least energy the additional electron can have?arrow_forwardDec Daistby 10. Using D = 3x³yi-2x²y4z6j+y³z²k from problem #9 Find: VxD @ (4, 3, 2). Dalarrow_forwardW | File 70 Paste 14+1+13+1+12+|+11·10 ·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·1····1·1·20 Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View T Calibri (Body) 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ·2·1·1·····1·1·2·1·3·1·4·1·5·1· 6 · 1 · 7 · 1 · 8 · 1 ·9·1·10·1·11·1·12·1·13· |·14·1·15· |· · |·17· 1 · 18 · | I I I I I ATOMIC AND NUCLEAR PHYSICS PLEASE ANSWER ALL QUESTIONS The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d l(l 1) −2² [12 a (rªd) – (C,+¹) + V(r)]Re(k;r) = ERe(k;r). 2μ dr where Re(r) is the radial wave function, μ = 2, the reduced mass, V the interacting potential, my+m₂ E the total energy, and k the wave number, given by k = 2μE h² 2. Using Re(k,r) = u₂(k,r) kr show that the above Schrödigner equation reduces to l(l + 1)_24² ď² +…arrow_forward
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