Post on 16-Jan-2016
description
PHYSICS 222 NAME
___________________
EXAM C PRINT CLEARLY
APRIL 13. 2010
(10)1. A stable nuclear state (ground state for example) would have an energy width ofa. zero; b. h; c. hl4ir; d. infinity
44+
A zero
(10) 2. A particle in a rigid box has a ground state energy of 4 MeV. What is the least energythis system can absorb?
a. 4MeV; b. 12 MeV; c. 16 MeV; d. 25 MeV;
= fYI —
4UltUV
)cue_/v
IEI’
(30) 3. Start with the wave function for an electron in an infinite square well with width L andiind the expectation value ofp2. The wave function is
I.7TX -t111= I—sin—e Ti
JL L
“P
(BE NEAT AND ORGANIZED.)
L
e e
k)c .I5,1hif(
s,.
4.I,
ç9Qx
jr)
N1
1+
1
fl
pJ
__
‘t
\j
-t
Ic’
I +
(40) 4. Find the reflection coefficient for particles in Region II traveling in the minus x direction.Start with the time independent Schroedinger Equation and show all steps clearly.(BE NEAT AND ORGANIZED.)
Region I Region II
V0
4 particlesj
__
Lix=0
1
-
I1-
—
‘Li Oi—i:-- I7;
2- L
e
qI
S..1
‘4 tl.
IIi..
—
N (I
Jt)
1
1
L
*0%
vv 1 11
LJ
re
4
ft * L!J
4
1
t4.J1
1Lfs
41I
(t•
“7
c
4% “3
I
‘‘ii
rb
(.4
,
*t
‘G144
1-
‘I
(b’
14
‘c
LJ
>% N ‘I
1
.4-
‘I
-‘1
‘1
+N
(N1
C)
I—
‘I
U
4