MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.01T
Fall Term 2004
Exam 3: Solutions
Problem 1a: (5 points)
A physical pendulum consists of a ruler of mass m oscillating about a fixed point. The
ruler is pulled to one side and allowe
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Physics 8.01T
Fall Term 2004
In-Class Problems 20-21: Work and Kinetic Energy Solutions
In-Class-Problem 20 Calculating Work Integrals
a) Work done by Gravity Near the Surface of the Earth: Consi
Force diagram for block on a frictionless horizontal surface and for the hanging block.
(a) A body on a frictionless inclined plane. (b) Free-body diagram.
(a) Two blocks that are tied together with a string are pulled along by a force F. The string has a
Problem Set 4
8.04 Spring 2013
Solutions
March 05, 2013
Problem 1. (10 points) Simultaneous Eigenstates
We do not in fact know the states momentum precisely. As an example, consider the ground
state of a particle in a box of width L:
8
>0
for x < 0
>q
<
2
8.04: Quantum Mechanics
Massachusetts Institute of Technology
Professor Allan Adams
Tuesday March 5
Problem Set 5
Due Tuesday March 12 at 11.00AM
Assigned Reading:
E&R 69 , App-I
Li.
71 4
Ga.
47 , 61,2
Sh
6all , 7all
1. (10 points) The Probability Current
Problem Set 5
8.04 Spring 2013
Solutions
March 12, 2013
Problem 1. (10 points) The Probability Current
We wish to prove that
dPab
= J(a, t) J(b, t).
(1)
dt
Since Pab (t) is the probability of nding the particle in the range a < x < b at time t it is
mathe
8.04: Quantum Mechanics
Massachusetts Institute of Technology
Professor Allan Adams
Tuesday Feb 26
Problem Set 4
Due Tuesday March 5 at 11.00AM
Assigned Reading:
E&R
Li.
Ga.
Sh.
5all , 61,2,8
3all , 41 , 51 , 6all
24 , 3all
4all , 51,2
1. (10 points) Simu