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Name: PHY317K December 15, 2007 Signature: Final Exam Unique number 61945
Instructions:
0 No notes, textbooks, or similar aids are permitted. (You may use a calculator.) 0 Use the scantron answer sheet to provide the answers. Bubble in your name (last,
ﬁrst) and UTEID. Write your name (last, ﬁrst). UTEID. course name, unique
number. Sign and date it. Mark answers for all problems. Mark your answer sheet
using #2 pencil. Mark only one answer per problem. lfyou need another scantron.
ask the instructor. 0 There are 16 problems on the exam. Each problem is worth 100/r 16 = 6.25 points. An
incorrectly answered problem is worth 0 points. 0 You will have two hours to complete this exam. 0 Any questions you may have about the test have to be directed to the instructor or a
TA. No conversations andfor collaborative work are permitted. 0 You may use the blank sides of the handout for notes and calculations. 0 Some equations and other information that may be useful on this exam are provided
on the last sheet of the handout. You may not ask questions about it. You may detach
.it from the exam. but will have to return it with the rest of the exam handout at the
end of the exam. 0 On this exam you may always assume g = 10 mfsz.  Sign the exam handouts and return them with the scantron form. Page i A 1. A volume of 400 cmi of an ideal gas is initially at 43°C. It is heated at constant II‘BSSUFE to 127°C. It will now occupy a volume of: V V
A) 800 cm3 Cm‘amwk. Vmﬁwm =‘> ‘ ~— .3;—
. 700 cm3 \/ a T T2
C) 600 cm3 t: 400 “A L.
D) 500 cm3 _ > V 1 \/ (”‘1‘
E) 450cm3 TZ‘TEC— 2 ‘ 1",
=LDOL : (4000,45) <4DOL}
TL>l 111— 2.00 v.
24001 \fzhLSOOLM—s
E 2. The speed ofsound in a given medium is 1000 rn/s. A sound wave ofwavelength 2.0 m
has what frequency in this medium? 2 0 CD 0 M ._
A) 200m vn¥\ T \ AS X”‘7—O“‘
— r
B) 400 H7. 5
C) 600 Hz 4) H L
D 800 Hz —’ E) none of these 5}? 5‘2)on 3. A block of material of unknown density ﬂoats on water. Recall, the density of water is
1000 kg/mg. If 60% of the volume of the block is above the water level, what is the density of the block? 0 :to? {H3 _ M
RH; C “'3‘ F10; % FL :FHLD \L‘y 3‘ A) 200 kg/m3 B 600 Mm3 Mm“  W L Vb\uwL a); mo
C) 400 kg/m‘ v AIS¥NQA D) 800 kg/m‘ W \Lt 2 0.4 V E 1000k/ Mme) C & \Lt =M Mc .. ) g In [J “‘3 /‘A D % 1% \alvji‘g‘iS idem
factually/0 7{ WWW
2p: OAﬂHLO L400 Lg/wd A 4. The temperature of :2 moles of an ideal polyatomic gas is increased by ATat constant
volume. The energy Qabsorbed as heat. change AEim in internal energy. and work W
done by the gas are iven b : Yobsk‘u wCc. C3506 =3 Surfs v1 LT
\fchmgb' ~37. N 2c)
B) Q: 3nRAT, AEn. = 0, W: 73nRAT
C) Q: (3/2)nRAT, Aram = smear, W: 7(3/2)nRAT First Law "1a Mm‘ijwwﬁc—s D) Q: (5/2)nRAT. AB)". = (3/2)!)RA r. W: o L__ _ )Kf‘ o
E) Q: 3nRAT. man. = 0, W: o *5 Aland,2 Qf :25 Q :Aeht: an KAT Page 2 C 5. A simple pendulum (a mass :11 connected to a string of length L) is suspended from the
ceiling of an elevator. The elevator is accelerating doanards with acceleration of
magnitude 3, where a < g. The period of this pendultun is given by: L/g . A C’ggtgtm 61—11“. C£—\Q¢a~.bw\ $¢~L ti)
B) 221a)L/(g+a) cﬁm‘ntﬁ Wt M%w\'\:_s M ti: m W New g—a ”M D) 27r 1/3 Jam sums 1} w \scvcciutm “1%
T: Z’Tt" L403w) A 6. When a 1 kg mass is attached to a spring that is fixed to the ceiling, the spring stretches
by 0.4 m to a new equilibrium position. If the mass is then pulled downward (i.e.. the
spring is stretched) by 0.05 m from this new equilibrium and then released. allowing it
to oscillate up and down, what approximately is the frequency of the oscillations? (Remember, it = 3.14.) M 2. 2 "k
A) 0.80 12 G 2): ”’1’“ W /Wt  X,“ “04 F“
B) 3.2Hz C9 M 1—. 
(3)1611? c9 ”>C’Q* ‘é/xb it Os so.) ._ \ JET
' H) 25W (‘3'2‘8 AMS‘M ”*3
\ 7. Pipe Y (closed at one end) is twice as long as pipe X (closed at one end). What is the
’9 ratio of the fundamental frequency of pipe Y to that ofpipe X (i.e., what is Mfi)? A) 4 Sr  .92“. 3;}:
E) ? R. / “XE“ Y >‘w 8i.—
“ PM "77 “: V2. 1+) 1/4 4“ Page 3 8. Two blocks made of the same material are labeled A and B. Block A has six times the
mass of block B. Initially the temperature of block A is at 100 K and the temperature of
block B is at 800 K. They are then placed in thermal contact, and the combination is
isolated. After a period of time, both blocks reach the same temperature. The final tem erature of both blocks is: Erumaj wwmtim :3 Heat bost‘vj ‘5 1 Huh TINA ‘93 A
*m [3mg {Ttrrgzgfmktﬁ—Tg) wk: (Ms 1;} more B) 250 K SKA \ 8 .
C) 300K whW‘Ll _g_ ‘ ‘ EYE18001: .5;
D) 350 K “wtJ \ WQQ ; MﬁTi—MKK‘K E) none of these MKT‘AA‘. “*3ng : T Q—LMRTMBX :\ 11‘:— : MAT; +M§5T§ (9 TA Arc/rsLaT—k‘) I411 2,U‘:__2_OOL ID 9. A given system moves slowly from an initial state A to an intermediate state B, and then
moves slowly from state B to a ﬁnal state C. The change from A to B is an adiabatic
process (i.e., Q = 0). During this adiabatic process. the temperature of the system
increases from TA = 300 K to TB = 500 K. The change from state B to the final state C
is an isothermal process. so the temperature remains constant at T = 500 K. During this
isothermal process. heat Q : 1000 J enters the system. What is the entropy change
during the complete process from the initial state A to the final state C? A) zero A5 __ c. g 0 (a o
B) 0.5J/K Ac‘f ﬂﬂ") .3. 1 0+ 1 (100:)
C) 1.0J/K A T_ A 1 9, “F (Scott) a..C\ 7‘ teem; F.) none of these CdQ >0) A's“; lat/ta A 10. For an oscillating mass on a spring, with displacement from the equilibrium position
given by x. the potential energy equals the kinetic energy when X : 0.5 m. A roximately what is the amplitude of the oscillation? L10 .STM
WW \pbmkbaA KWSSW 23%;“ L3r¢f:g {mm3t) . ”Ll/4L B) 1.0m b
C) 1.4m ‘3 mm“: W33 $5M“ “A”: "URL “taxi m'lij
E.) 2.0m 2. “k” 2, TOT K6 at 5T ,_ iii/l?“ wl’u’fﬁ /—L is ”bid. qwﬁlfmde :» image/m a 111" ,4; xv"?
1C0§M)Ll.43
ALOFHA Pane 4 9 11. A particular system absorbs 400 J of heat during a period when it does 500 j of work on 'v—‘I' b its environment. What is the change in the internal energy of Lhe system during this
period? Q :_ 4t 00;: \Ai L r 00 ‘E
A) 900} T
B) 100] I: rSt Z—QW ojt '“””“5=LjV\C~H—RLS
C)0 ,..
D) —3001 AbbaF.7 Qabd GED ——1003 12. The displacement of a string carrying a traveling sinusoidal wave is given by y(X.t) =y,,,sin(kXr cot+ 95). At time t: 0. the displacement of the string at x: 0 is — y’” (Le, a negative J? 1 . . .
displacement equal to — times the amplitude), and the veloc1ty of the string at this J5 point is positive (i.e., it is moving in the +ydirection). The phase constant glis: Arc/4 go: ‘24:...“ 3 Q14 _. gs“ o.—
13)) m’l ”0‘00 dms 9b d/ﬁTs 4) /G"\"5é’ TH ﬁll/‘1 E 13. The intensity of a given sound wave is 33 yW/cmz. If its intensity is raised by 30
decibels, the new intensity (in yW/cmz ) is:
A) 3300 :1; ~ 33 ”W ﬂ= 30 41%
B) 330
C) 1100
D 110
E) 33000 Page 5 14. A moving source (S) emits a sound wave of frequency f. The speed of the moving
source is 1/4 the speed of sound. An observer (0) is moving away from the source. and
is moving in the direction opposite that of the source's motion with speed 1/2 the speed
of sound. What frequency of sound does the observer detect? 4—_ r) Q_.___..p VD —1r/z_ S «5‘ yer/‘1
A) {72 SC RVH'jv—Mc—g CkQQFLKXL mace. chasmw
B) 31/73 R‘ (:_:r‘:k§\o \b mtmnvx3 “Wk—5 W SDKM‘QQ 19) 4175 k R‘maqouoj cngrusts HCL Squ‘CQ
E) none of these V12.) is Moan'3. MM SQW obsmw
2V 'U‘Anr/4 cits,3) \ Z
«5&9 in ”S” C 15. Initially. a Utube contains a liquid of known density pa. Then. another liquid of known density p is poured into the left arm of the U—tube. The two liquids do not mix.
The final situation is shown in the figure. The distances in and ['12 are known. What is the value of the distance d? d < \ MM
h :§ﬂskk%+fe\/é 1pm;
h1 < 2 pot 1/JDLML—M) A) p(h2+h1)2/p0 Azﬂ) (Kyla/{O B) U12 +111)“ 0 — p)
C) 90th 7 fill/P
D) [3th , [hi/Po
E) none of these Page 6 C 16. A gas flows through a horizontal pipe. Pressure gauges are located at three positions
(A, B, and C) in the pipe where the radius ofthe pipe has different values: i'A, rm. and re.
The three gauges show the following readings: gauge A shows 120 kPa. gauge B shows
140 kPa and gauge C shows 100 kPa. Rank the radii of the pipe at points A B and C from smallest to lar est: Av= emit; AKC‘Z EWLD> Aw: mat: 2) A
8 F J {3’
A) rA<fB<FC .i,_\. v1“
rB<fA<I'C 5? 2P rwast
c: I'(‘ <lA<rB) —. A
Ic<fB<fA llaékr’sL’h. ‘7IF;§\YA>\3; >16; AAé—Ag
E) m<lc<1u #5? Page 7 ...
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 Spring '07
 KOPP
 Physics

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