OCTOBER 09, 2015
2015.16 PH2a
QUIZ I
Your solutions are due on TUESDAY OCTOBER 13, 2015, at the beginning of lecture (11:00am).
Place the solutions in the locked section boxes outside 201 E. Bridge.
Late quizzes will not be accepted, except in very specia

1 Phillips 10.4
Note ﬁrst that: from equation {aid-'1}: the given energy corresponds [up to exchange symme—
try) to one of the particles in the ground state {TE-1. = “ff-w = 1a.: = 1). and one of the particles
with one of the directions in the ﬁrst excite

1
Rigid Rotor
Consider a rigid rotor with a moment of inertia I. The Hamiltonian is:
L2
H=
2I
a) [3 pts] What are the l = 1 eigenstates of this Hamiltonian?
b) [3 pts] Multiple eigenstates with the same energy are called degenerate. Since
they all have th

Physics 2B
Quiz 3
2015
Problem 1) (12 pts)
Consider a quantum harmonic oscillator potential with V (x) = 1 m 2 x2 . We initialize the state
2
of the system in the ground state, 0 .
1a) (4 points) Compute x2n for n = 0, 1, 2, 3. (Hint: take the integral id

1
Gravitational Atom
ke2
r , Gravitational:
4 0 Gm2
e
= 2.4 1043
e2
a) Electric:
Gm2
e
ke2
=
Gm2
e
r
, so the ratio is
2
1 h
b) Bohr radius: a0 = ke2 me .
Replace ke2 by Gm2 ; but also remember that we are dealing with a system of two electrons, rather th

March 11, 2015
PH 2b - Winter 2015
FINAL EXAM
Your solutions are DUE ON WEDNESDAY, March 18, 2015, 11:59 AM (noon), in the locked
section boxes outside 201 E. Bridge. Late exams will not be accepted, except in very special
circumstances.
The quiz is open

Ph2a Quiz 4 Solution 2015 Winter
1.
(a) Using eq.(7-11) in the textbook by French, we have
s
v =
3
P
.
(1)
2
For air ' 1.4 , = 1.2 kg/m and P = 1.5 105 N/m , this gives
s
s
2
P
1.4 1.5 105 N/m
v =
418.33 m/s .
=
3
1.2 kg/m
(2)
(b) The frequency of the no

NOVEMBER 20,2015
2015.16 PHZa
QUIZ 4
g
i
.
Your solutions are due on TUESDAY NOVEMBER 24, 2015, at the beginning of lecture (11:003m).
Place the solutions in the locked section boxes outside 201 E. Bridge.
Late quizzes will not be accepted, except in ve

DATE: 12-04—15
2015.16 PHZa FINAL EXAM
FALL TERM
THE TIME LIMIT FOR THIS EXAM IS 4 HOURS.
Your solutions are due FRIDAY DECEMBER 11, 2015 at 12:00pm (NOON).
Please place exams in the locked box, outside 201 E. Bridge, Lecture Hall. Late
exams will not be

Transverse oscillations of a closed loop: Solution
Consider a 1-dimensional circular loop of rope of radius R. The gure above on the left
shows the equilibrium conguration, the gure on the right shows a conguration displaced
from equilibrium in the transv

OCTOBER 23,2015
2015.16 PHZa
QUIZ 2
Your solutions are due on TUESDAY OCTOBER 27, 2015, at the beginning of lecture (11:00am).
Place the solutions in the locked section boxes outside 201 E. Bridge. .
Late quizzes will not be accepted, except in very speci

NOVEMBER 06,2015
2015.16 PHZa
QUIZ 3
Your solutions are due on TUESDAY NOVEMBER 10, 2015, at the beginning of lecture (11:00am).
Place the solutions in the locked section boxes outside 201 E. Bridge.
Late quizzes will not be accepted, except in very s