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Answer to PC1144 0506 Paper
Part I
1
Mistakes:
(i)
The wavefunction is not sinuisoidal before the potential barrier.
(ii)
The wavefunction is discontinuous at both sides of potential barrier. One is not
of the same value, another one has different first derivative.
(iii)
The wavefunction in the potential barrier is not exponential decay.
2
6
10
22
.
8
revolutions
3
Refer textbook for graphs.
Probability
6
/
1
4
m
x
2
10
39
.
2
5(i)
All conserved. Reaction can proceed.
5(ii)
All conserved. Reaction can proceed.
5(iii)
All conserved except lepton number. Reaction cannot proceed.
5(iv)
All conserved except strangeness. Reaction cannot proceed.
Part II
6(a)
Hint: Combine the two given equations and using the fact
'
'
'
dt
dx
u
x
,
dt
dx
u
x
6(b)
Hint:
0
2
c
v
6(c)
Hint:
c
u
x
6(d)
c
v
positron
966
.
0
6(e)
c
v
gamma
, gamma ray is EM radiation, it travels in speed of light
7(a)
Hint: Compute
2
2
2
c
p
E
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This note was uploaded on 01/14/2011 for the course PHYS 1144 taught by Professor Li during the Fall '10 term at National University of Singapore.
 Fall '10
 LI

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