Name: galvd'o M 9, Class: Date: 11): A
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Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
i. Bats can detect small objects such as insects that are of a size approximately that of one waveleng
PHYSICS 140B : STATISTICAL PHYSICS
FINAL EXAMINATION SOLUTIONS
100 POINTS TOTAL
(1) Consider a spin-2 Ising model with Hamiltonian
1
H = 2
i,j
Jij Si Sj H
Si
i
where Si cfw_2, 1, 0, 1, 2. The system is on a simple cubic lattice, with nearest neighbor
coup
PHYSICS 140B : STATISTICAL PHYSICS
HW ASSIGNMENT #2 SOLUTIONS
(1) Consider a model in which there are three possible states per site, which we can denote
by A, B, and V. The states A and B are for our purposes identical. The energies of A-A,
A-B, and B-B
PHYSICS 140A : STATISTICAL PHYSICS
HW ASSIGNMENT #7 SOLUTIONS
(1) Calculate, under equilibrium conditions, the number of photons in a cavity of volume
1 m3 at a temperature of T = 293 K. Compare this number with the number of ideal gas
molecules under the
PHYSICS 140B : STATISTICAL PHYSICS
HW ASSIGNMENT #6 SOLUTIONS
(1) Consider the situation in 7.6.2 of the notes, where a temperature gradient is applied
at constant pressure. Show that there is no resulting particle current: j = 0.
Solution : We have
d3p (
PHYSICS 140B : STATISTICAL PHYSICS
HW ASSIGNMENT #5 SOLUTIONS
(1) Find in the scientic literature two examples of phase transitions, one rst order and
one second order. Describe the systems and identify the order parameter in each case.
Reproduce a plot o
PHYS 203
Princeton University
Fall 2006
1. (30 points) Ski jump track
Consider the motion of a skier of mass m down a track with a constant slope . The
friction of the skies is negligible, but the motion is subject to air resistance. The
resistance force
PHYSICS 140A : ASSIGNMENT #1 SOLUTIONS
Problem 1.
Solution:
(a) Qw = m w C w "Tw = 4.2 ! 10 3 J , where the specific heat of water is :
C w = 4.2 " 10 3 J / kg !o C
(b) When we neglect the heat loss, the heat received by water should be the exact the same
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First Name:
Physics 102 Spring 2006: Exam #2 Multiple-Choice Questions
1. A charged particle, q , is moving with speed v perpendicular to a uniform magnetic eld. A second
identical charged particle is moving with speed 2 v perpendicular to the
1
PHY481 - Midterm IB (2009)
Time allowed 50 minutes. Do all questions - to get full credit you must show your working.
The general solutions to Laplaces equation with two co-ordinates allowed to vary are:
V (x, y ) = (a + bx)(c + dy ) + k [A(k )cos(kx) +
PHYSICS 140A : ASSIGNMENT #3 SOLUTIONS
Problem 1. Solution:
First, lets derive the expression of S.
dE = TdS ! PdV , for ideal gas, it can be written as:
dT
dV
dT
dV
dS = nCV
+p
! dS = nCV
+ nR
!
T
T
T
V
S = nCV ln T + nR ln V + C ' = nCV ln P + n(CV + R)
1
PHY481 - Midterm I (2009)
Time allowed 50 minutes. Do all questions - to get full credit you must show your working.
The general solutions to Laplaces equation with two co-ordinates allowed to vary are:
V (x, y ) = (a + bx)(c + dy ) + k [A(k )cos(kx) +
PHYS 203
Princeton University
Midterm Exam
Fall 2004
1. (20 points) A boat of mass m is pushed from the shore into a lake with initial velocity v0. The
motion of the boat is resisted by a force F = mkv .
a) (10 points) Find the velocity of the boat as a f