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6.
Physics 228- Final Exam
May 8, 2007
Profs. Coleman and Zimmermann
9.
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Possibly Useful Information
Speed of light: ¢ = 3.00 x 10° m/s
Angstrém: 1 A = 10779 m
Electron. charge: g. = —e = ~1.602 x 107° G
Elect. mass: m, = 0.00055 u = 9.11 x 107%! kg = 0.512 MeV/c?
Proton mass: mp = 1.007276 u = 1.672622 x 107°” kg = 938.272
MeV/c? .
Atomic mass unit: u = 1.660539 x 10°??-ke = 931.494 MeV/c?
Boltzmann's constant: kg = 8.617 x 107% eV/K
Rydberg constant = 13.6 eV
Bohr magneton: pp = 9.274 x 10°74 J/T = 5.788 x 107° eV/T
69 = 8.85 x 107? C?/(Nm?)
LeV = 1.602 x 10° J
Planck’s constant/27: fi = 1.0545 x 10-S4Js = 6.583 x 107 eVs
Planck’s constant: fh = 6.626 x 10°4Js = 4.136 x 1078 eVs
1. Which diagram below illustrates the path of a light ray as tt travels
from a given point X in air to another given point Y in glass? |.
—s
1S
'
, Ten
* ‘ Ael
oq \
\
6
i “Se
lL
x oa om nt
2. A concave mirror is to project an image onto a screen 48 cm away
from the mirror such that the image is three times bigger than
the object. What must be the focal length of the mirror? aL alos 4 S2t QBomn
a) None of the other answers = 43/3- locm
b) 0.083 cm 5 Si fF 5, = 4813
12cm
ad 16cm L et at =) 4s I2em tc)
e) 24cm s le 43
10. Le nh means c g Vo an also quested.
W. There spo vay KH dakemine an “alpsolule
velocity", became aewodton te ie prseple
ab pyecial relotintny ' Ye ews of pps oye
Ye same va alk meriol cohen e frames.
9. Photon A has twice the energy of photon B. What is the ratio of
the momentum of photon A to that of Photon B.
a} 1/4
b) 1/2
ce} ol
2
e) 4
10. In the Bohr model of the hydrogen atom, let the electron’s orbital
angular momentum. be L, its orbital radius be r, and its speed be
v. Pick the correct statement.
a) Land r are quantized; v is not
b) Land v are quantized; r is not
©) sand v are quantized; L is not
@ L, r, and v are all quantized
e) Lis quantized; r and v are not
il. An observer is in a closed laboratory in the gravity-free environ-
ment of outer space. She wishes to determine whether the labo-
ratory is at rest or in motion at a constant. velocity.
a) She can find out by performing the Michelson-Morley ex-
periment.
b) She can find out. b
wall in various dir
and after the bounce.
None of the other answ
d) She can find out by comparing two different clocks in the
laboratory over a period of time.
c) She can find out by measuring her mass.
y bouncing a perfectly elastic ball off the
tions and measuring the velocity before
rs will work.
12. After 2 hours, # of the initial amount of a certain radioactive
yed. The half-life of the isotope
isotope has dec
a) 15 min.
30 min.
¢} 45 min.
a) 60 min.
e) 2 hours
13.
14,
16,
IB,
The de Broglie wavelength of an electron whose kinetic energy is
54.0 eV is
a) 2.50 nm
b) 0.962 nm
¢) 23.0 nm
0.167 nm
e) 0.333 nm
A hydrogen atom is in the 3d state (n = 3, @ = 2}. How many
distinct values of the z component of the electron’s total angular
momentum are possible? (Include electron spin.}
a) 1
b) 2
oc) 4
e)
Jn a metal, at the absolute zero of temperature
a) al] motion ccases
b} the Fermi energy is zero
¢) the Fermi speed is zero
d) the average kinetic energy of the conduction electrons is
zero
the average kinetic energy of the conduction electrons dif-
fers significantly from zero 15.
The reaction 7H + *H ~ *f1+1'H produces protons. The Q of the
reaction is
a) 3.27 MeV 6,
b) 4.03 MeV
c) 17.59 MeV
d) 1.04 MeV
e) 7.06 MeV
The needed ma:
u, 9H 3.016049 u, '
UL
are hydrogen: 1.007825 un, deuterium: 2.014102
He 3.016029 u, *He 4.002603 u, neutron 1.008665
@ 6 \y -
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17. Ina doped semiconductor material of the p-type
a) the density of conduction electrons far exceeds the density
of holes
b) the holes carry negative charge
c) the current uitied mainly by the electrons
@D the current is carried mainly by the holes
e) the valence band is full
18. Which of the following is not true?
a) The rest mags of a hydrogen atom is less than the sum of
the rest masses of an electron and a proton.
b) The rest mass of a helium nucleus is Jess than the sum of
the of two protons and 4
of an iron nul 38Fe) is less than the swm
of the rest mass of 13 @ particles and 4 neutrons.
d) The rest mass of a nrantum nucleus (285U) is less then the
sum of the rest masses of 1}°Rn, }2?Cd, and 3 neutrons.
@ neutrons.
19. What is the approximate distance between two bright point sources
of light on Earth that astronauts can just resolve by eye when they
are orbiting 250 km above the Barth? Assume a wavelength of 500
mm, and a pupil diameter of 6 mm. Assume index of refraction of
the eye = 1.00.
25.4.m
b) 40.6 m
c) 0.025 m
d) 135m
e) 613m
20. Tlow many electrons can be accomodated in the 4f level of an
atom?
Ou
a) 3 b) 4 c) 7 dj) 12
28.
30.
al.
The atomic number of carbon is 6, that of nilrogon 7. If a small
fraction of carbon atoms in the crystal lattice of diamond (an
insulator with a bandgap of 5.4 eV) are replaced by nitrogen atoms
(“uitrogen-doping” of diamond), what kind of solid is formed?
a) An intrinsic semiconductor
An n-type semiconductor
c) A ptype semiconductor
d} A metal
e) A superconductor
‘The following decay and reaction each involve a neutrino.
Kia ptt?
?4+n—> ptt+e
What are the identities of the mi
secoud equations, respectively?
ing ueutrmos in the first and
a) By, Ve
b) Uy, Be
C) May Mp
d) v,, Be
A particle is a combination of a down quark (d) and an anti-up
quark (i). The particle is a
a) po
b) a
co)
dy oat
e) Ja
Baryons differ from mesons in that. baryons:
a) have two quarks.
b) have integer spin.
c) have half-integer baryon number.
d) contain both quarks and antiquarks.
® have three quarks.
No hes one nore, Gado Eee Co
f Mea on Cede dongs
7 nm Spe SQru conducts.
kc? —+ + Vy
a) ~| +1 oO
)}
Py
Bones — 99 97 a
32. The strong interaction is mediated by:
@® gluons
b) photons
¢) neutrinos
a) quarks
e) Z° particles