Homework 5 Solutions
Problem 5.1 (practice): Power from the ocean It has been proposed to use the thermal gradient of
the ocean to drive a heat engine. Supoose that at a certain location the water temperature is 22o C at the
ocean surface and 4o C at the
Physics 112, Spring 2013: Holzapfel
Problem Set 8 (6 Problems). Due Monday April 8, 5 PM
Problem 1: Density of orbitals in one and two dimensions
Kittel 7.1
Problem 2: Energy of a Relativistic Fermi Gas
Kittel 7.2
Problem 3: Liquid 3 He as a Fermi gas
Kit
Physics 112, Spring 13: Holzapfel
Problem Set 7 (6 Problems). Due Monday, April 1, 2013, 5 PM
Problem 1: Distribution Function for Double Occupancy Statistics
Kittel 6.3
Problem 2: Energy of Gas of Extreme Relativistic Particles
Kittel 6.4
Problem 3: The
Physics 112, Spring 2013: Holzapfel
Problem Set 6 (6 problems). Due Monday, March 18, 5PM
Problem 1: Centrifuge
Kittel 5.1
Problem 2: Active Transport
Kittel 5.4
Problem 3: Carbon monoxide poisoning
Kittel 5.8
Problem 4: Concentration Fluctuations
Kittel
Physics 112, Spring 2013, Holzapfel
Problem Set 5 (6 problems). Due Wednesday, March 6th , 5 PM
Problem 1: Seeing in the Dark
Consider a light bulb with a tungsten lament at a temperature of T f = 3500 K.
(a) If the power input is 100 W and the emssivity
Physics 112, Spring 2013: Holzapfel
Problem Set 4 (6 problems). Due Wednesday, February 27, 5 PM
Problem 1: Temperature of the Earth & Greenhouse Effect
As seen from the earth, the sun subtends an angle of 1/2 degree. The spectral intensity I of the obser
Physics 112, Spring 2013: Holzapfel
Problem Set 3 (6 problems). Due Wednesday, February 20, 5 PM
Problem 1: Energy uctuations
(a) Kittel, Problem 3.4
(b) Consider the case of the ideal gas and calculate
become of order 10 percent of the total energy?
<(U
Physics 112, Spring 2013: Holzapfel
Problem Set 2 (6 problems). Due Wednesday, February 13, 5 PM
Problem 1: Paramagnetism
(a) Kittel, Problem 2.2
(b) Roughly plot the entropy and the temperature as a function of energy. Notice that the temperature is
nega
Physics 112, Spring 2013: Holzapfel
Problem Set 1 (7 problems). Due Wednesday, February 6, 5 PM
Problem 1: Combinations.
Welcome to Oskis Seven Flavors Ice Cream Shop. Your bowl holds four scoops and we want to know how
many ways we can ll it from the sev
Physics 112, Spring 2013, Holzapfel
Problem Set 9 (4 Problems). Due Monday, April 15, 5 PM
Problem 1: Chemical potential versus concentration
Kittel 7.13
Problem 2: Two orbital boson system
Kittel 7.14
Problem 3: Bose Einstein Condensation with Rb 87
Cons
Physics 112 Spring 2013
Professor William Holzapfel
Homework 1 Solution
Problem 1. Oskis ice cream parlor
In this problem we enumerate the ways in which we ll a bowl with four scoops of ice cream
from a selection of seven dierent avors.
a) Here we allow d
Physics 112 Spring 2013
Professor William Holzapfel
Homework 2 Solutions
Problem 1: Magnetization
a) For the paramagnet, we can use the Gaussian approximation to the multiplicity
in terms of the total number of spins N and the spin excess s:
g (N, s) = g
Statistical Physics: October 9, 2012
Solutions for the Homework 5
Problem 7.8: Suppose you have a box in which each particle may occupy any of 10 single-particle
states. For simplicity, assume that each of these states has energy zero.
(a) What is the par
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mu L W
MW
A [rm \
'ﬂgf'fgalwi/M‘NE g Q EM ma}? Aw}
Q" 61
M: ' ” r , *M’m mum m)
+ a “£3433; Problem 7.6. It’s easiest to start from the right—hand side of the desired relation and
work backwards:
kT 6E kT _3_ _[E(a)—pN(s)}/kT
_—-— _ —Z_ 28: d
Physics 112.1 (Spring 2017): Homework #2
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 02/02/17; DUE 02/10/2017 [revision A])
Solutions to all required (i.e., non-practice) problems are due in the Physics 112.1 box in the
Physics 112.1 (Spring 2017): Homework #4
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 02/17/17; DUE 02/24/2017 [revision A])
Solutions to all required (i.e., non-practice) problems are due in the Physics 112.1 box in the
Physics 112.1 (Spring 2017): Homework #3
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 02/10/17; DUE 02/17/2017 [revision A])
Solutions to all required (i.e., non-practice) problems are due in the Physics 112.1 box in the
Physics 112.1 (Spring 2017): Homework #1
A.E. Charman
Department of Physics, University of California, Berkeley
(Dated: 01/21/17; DUE 02/03/2017 [revision A])
Solutions to all required (i.e., non-practice) problems are due in the Physics 112.1 box in the
Physics 112 Spring 2013
Professor William Holzapfel
Homework 9 Solutions
Problem 1, Kittel 7.13: Chemical Potential versus Concentration
(a) We know for a classical ideal gas / = ln nn , so for nn
1 we expect a logarithmic
Q
Q
1) the
behavior of the chemi
Physics 112 Spring 2013
Professor William Holzapfel
Homework 8 Solutions
Problem 1, Kittel 7.1: Density of Orbitals in one and two dimensions
In one dimension the orbitals are of the form n (x) = A sin(nx/L) where n is a positive integer.
The energy is
2
Physics 112 Spring 2013
Professor William Holzapfel
Homework 7 Solutions
Problem 1, Kittel 6.3: Double Occupancy Statistics
(a) In this problem were considering a new particle which can at most doubly occupy an orbital
(as opposed to single occupancy for