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1
PHYSICS 13
HOUR EXAM 1
FALL 2003
Grades:
points/possible points
I
/50
II
/50
III
/40
IV
/60
Total:
/200
This is a closed book, closed notes exam. You may use
calculators.
Make sure you show all
your work! You will get partial credit for correct intermediate steps.
Useful Formulae and Data
Relativistic Energy = m
0
c
2
/
√
(1u
2
/c
2
), where m
0
is the rest mass;
m
0
c
2
=Rest Energy
Lorentz Transformation frame S´ moves in the +x direction with V as seen in S:
x=
γ
(x´+Vt´),
y=y´, z=z´, t=
γ
(t´+Vx´/c
2
)
where
γ
=1/
√
(1V
2
/c
2
)
Addition of velocities for an object moving at u´
x
and u´
y
in S´:
u
x
=(u´
x
+V)/(1+Vu´
x
/c
2
), u
y
=u´
y
/(1+Vu´
x
/c
2
)
Doppler Effect: f’ = f [
√
(1+v/c) /
√
(1v/c)]
f = frequency
Compton scattering:
λ
’ 
λ
= (h/m
e
c)(1cos
θ
);
(h/m
e
c)=2.43x10
12
m
Quantum: E=hf
Photoelectric effect: hf = mv
max
2
/2 +
Φ
(work function)
de Broglie:
λ
=h/p
General waves:
λ
f=v
phase
Light:
λ
f=c
Bohr atom (single electron): E
n
=Z
2
E
0
/n
2
, with E
0
=13.61 eV=k
2
e
4
m/2
η
2
transitions: hf
nm
= E
n
 E
m
Heisenberg’s Uncertainty:
∆
x
∆
p
≥
η
/2
Constants
:
Velocity of light: c = 3.00x 10
8
meter/sec
Planck’s constant: h = 6.63 x 10
34
J sec= 4.14 x 10
15
eV sec
η
= h/2
π
= 1.05 x 10
34
J sec = 6.58 x 10
16
eV sec
hc = 1.24 x 10
6
eV m
Rest energy of electron = m
e
c
2
= 0.511 MeV
Units:
Energy: 1 J(oule) = 1 Kg m
2
/sec
2
;
1 eV(electron Volt) = 1.6x10
19
J;
1 MeV = 10
6
eV = 1.78x10
30
Kg
±
c
2
&
1 MeV/c
2
= 1.78x10
30
Kg
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NAME________________________
I. Multiple choice  circle the one best
answer.
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 Fall '04
 GaryR.Goldstein
 Physics, Work

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