Chapter 5: Problems 13*, 18, 37, 42, 43, 64
Chapter 6: Question 8, Problems 3, 11, 21, 23, 34, 46
Also, be prepared to discuss Chapter 6: Question 7 in class on Monday,
Sep 29.
*For the photon, change "kinetic energy" to "energy"
Assignment
#6
Due Mon, Oct 13, 2008
Chapter 3: Problems 9, 12
Chapter 7: Questions 3, 7,
Problems 6, 10, 14, 29
Assignment
#7
Due Mon, Oct 20, 2008
Chapter 14: Problems
1, 14, 17, 18, 19, 46
additional problem:
Calculate all possible charges for a pentaquark from the
quark/antiquark charges .
Assignment
#8
Due Mon, Oct 27, 2008
Chapter 12: Question 12, Problems 2, 3, 17, 19
(see problem 16), 30 & repeat for 123I, 36, 41
Assignment
#9
Due Fri, Nov 1, 2008
Chapter 13: Problem 1, 33
Chapter 2 : Compute the spacetime intervals (Ds2) for the pairs of events in problems 13 and 16. For each, answer the following
a) What does the value of Ds2 tell you about whether an observer could observe the events to be at the same place? to happen at the same time?
b) How fast would a signal have to go to
get from one event to the other? Could they be causally connected
(cause and effect)?
Additional problem #1
a) From the equation for exponential decay (eq 12.25), derive the following:
The slope of the graph of ln(activity) vs time is equal to the
opposite
of the decay constant.
b) Graph the data below, and from the slope of the graph of
ln(decay rate) vs time, determine the half-life of this Ba isotope.
(data for the decay rate of 137Bam as a
function of time taken by students in PH103, Amanda Quas and Jennifer
Stella):
Time (s)
Counts per minute
5
285
35
335
65
250
95
211
125
194
155
161
185
197
215
129
245
103
275
125
305
96
335
77
Additional problem #2
Two identical systems are started with nearly identical initial
conditions. To test the sensitivity to initial conditions, these
systems are watched for 14 minutes, and a variable value recorded as a
function of time. We need to look at whether these systems evolve
differently or nearly the same.
a) The data for one such pair of systems is in sheet 1 of the spreadsheet chaos1.xls.
Plot the difference between the two system variables (variable1 and
variable2). Fit to an exponential. Does this graph seem to
indicate that the system is chaotic (of course, justify)
b) Repeat for the data in sheet 2.
Additional problem #3
A Poincare plot is produced for a particular system, and a pattern emerges.
The variable x at each point is related to the previous x-value by
the following equation:
xn+1 = R(1+xn)(1-xn)
R is related to the strength of a magnetic field, and can be varied by
the experimenter. The inital x-value each time the experiment is done
is x1=0.5. For each of the following values of R, calculate xn up
to at least n=50 (using Excel or Mathcad, if you like). What is
the behavior of the system for that value of R (for example: period-2, period-8, chaotic, etc). If the behavior is period-N, list the N values the system is repeatedly visiting.
a) R = 0.5
b) R = 1
c) R = 1.15
d) R = 1.2
e) Find a value of R for which the behavior is period-8.