This preview shows pages 1–2. Sign up to view the full content.
Physics 2D Quiz #4
Department of Physics, UCSD
Summer Session II  2009
Prof. Pathria
28 August 2009
Some Useful Data
Speed of light:
c = 2.998
×
10
8
m/s
Planck’s constant:
h
= 6.626
×
10

34
J
·
s
Rest mass of an electron:
m
e
= 9.109
×
10

31
kg
= 0
.
511
MeV/c
2
1 eV = 1.602
×
10

19
J
Schr¨odinger wave equation:

¯
h
2
2
m
d
2
ψ
dx
2
+
U
(
x
)
ψ
=
Eψ
Potential energy of a simple
harmonic oscillator:
U
(
x
) =
1
2
Kx
2
=
1
2
mω
2
x
2
Some Useful Formulae
sin
2
x
=
1
2
(1

cos 2
x
)
cos
2
x
=
1
2
(1 + cos 2
x
)
R
∞
0
e

ax
2
dx
=
1
2
p
π
a
R
∞
0
x
2
e

ax
2
dx
=
1
4
p
π
a
3
R
∞
0
x
4
e

ax
2
dx
=
3
8
p
π
a
5
Instructions
Please write your answers in your blue book, and make sure your secret code
number is written on all pages in indelible ink.
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document1. An electron is contained in a onedimensional box of width 0.1 nm.
(a) Draw an energy level diagram for the electron for states up to
n
= 3, and
show
all
the transitions that would eventually get the electron from the
n
= 3 state to the
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Hirsch
 Physics, Mass, Light

Click to edit the document details