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