Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Question
Chapter 36, Problem 58P
(a)
To determine
The expression for the system of
N
n
(b)
To determine
The expression for the system of
N
n
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Suppose a system contain four identical particles and five energy levels given by the
relationship, E;= i x 10-20 J, where i = 0 ,1,2,3,4. If the total energy of the system is
Er= 6 €. Find the total number of the microscopic states for the distribution of these
particles over the system energy levels keeping the given system conditions.
Solution
4 identical particles
Energy
(10 Joule)
Macroscopic state
4
Er= 6 €
3
Levels
1
E(10 )
k
1
2
3
4.
7
N!
Wk =
no!n;!n2!n3!n4!
SK = kglnwk
Suppose a system contain four identical particles and five energy levels given by the
relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is
Er= 6 E. Find the total number of the microscopic states for the distribution of these
particles over the system energy levels keeping the given system conditions.
Solution
4 identical particles
Energy
(10- Joule)
Macroscopic state
4
Er= 6 €
3
Levels
1
E2
E (10-º J)
k
1
2
4
5
6
7
N!
Wk
no! n!n2!n3!n4!
Sk = kglnwk
We can approximate an electron moving in a nanowire (a small, thin wire) as a one-dimensional infi nite square-well potential. Let the wire be 2.0 μm long. The nanowire is cooled to a temperature of 13 K, and we assume the electron’s average kinetic energy is that of gas molecules at this temperature ( 3kT/2). (a) What are the three lowest possible energy levels of the electrons? (b) What is the approximate quantum number of electrons moving in the wire?
Chapter 36 Solutions
Essential University Physics
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 11ECh. 36 - Prob. 12ECh. 36 - Prob. 13ECh. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 36 - Prob. 34ECh. 36 - Prob. 35ECh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Solar physicists measure the strong magnetic...Ch. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
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