lee10 - @915.“ Physics 124 — Analytical Physics FINAL...

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Unformatted text preview: @915.“ Physics 124 — Analytical Physics FINAL EXAM Tuesday, May 10, 2011, 4 — 7 PM 5,70 1... MT” \Z’D MS => 4: SIGN HERE NOW: Use a #2 pencil to make entries on the answer sheet. Enter ID informa- tion items 2-5, now, on the answer sheet before the exam starts... In the section labeled NAME (Last, First, Ml.) enter your last name, then fill in the empty circle for a blank, then enter your first name, another blank, and finally your middle initial. Under STUDENT # enter your 9-digit RUID Number. Enter J. 24 under COURSE; you may ignore the section number. Under CODE enter the exam code given above. During the exam, you may use pencils, a calculator, and three 8.5 x 11 inch sheets with formulas and notes. There are 30 multip1e~choice questions on the exam. For each question, mark only one answer on the answer sheet. There is no deduction of points for an incorrect answer, so even if you cannot work out the answer to a question, you should make an educated guess. At the end of the exam, hand in the answer sheet and this SIGNED cover page. Retain the exam questions attached for future reference and study. When you are asked to open the exam, make sure that your copy contains all 30 questions. Raise your hand if this is fiat“ the case, and a proctor will help you. Also raise your hand during the exam if you have a question. , Please have your student ID ready to ShOW to the proctor during the exam. Possibly useful information: the gas constant R = 8314 J / (mol-K), the Stefan—Boltzmann constant is o = 5.67X10“8 W/(1n2K4), in the ideal gas law R = 8.314 'J/molK, 1 atm pressure z 1 ><105 Pa, 0°C % 273 K % 32°F, at the earth’s surface 9 = 9.8 m/s2, the parallel axis theorem is I = Iaboutcm + ml2 and ID = 1><10‘12 W/mZ in the dB equation. ' Swat: Q1610 86% 5V2, Essa: A scientist in Antarctica observes “It is really cold today. The temperature is the same number in Fahrenheit and in Celsius.”’ What is the tempera— ture? Pick the closest answer. ' a a 40°C T_ : *T v 322 b; 20°C V 5 a TD: ETC/V32 c) 0°C T6 -, TO N g - d) 20°C ‘32» w 5 TC" “ref “0°C“ The temperature of a fixed volume of an ideal gas increases by 50 K. The pressure doubles. What was the initial temperature? a) Volume is needed to determine the answer. Q {3‘ \/‘ : \n RT? “raw—“$00K L P7, v1; hRTz ~> 21> v Cl) ~50K > P\V\ e) 100K illi- = , 2mm ZT‘ :almf'l JD ¢~> Tl: =‘5—DK: A metal ball has a hollow core. The volume of the core is half the volume of the ball. The ball is uniformly heated so that its volume increases 10%. How much does the volume of the core change? Choose the closest answer. 2; “;;% Qr0¢¥1mlLMh5¢ m some, VOlUWQ. : grag'hhomal " O c) 0% — does not change -C,\qcevtje M bull VG mm d H . (hall $035 Wo’l' €34?an \‘mko tore) A 1.5 kg block of Aluminum with specific heat 910 J/(kg-K) and temper- ature 60°C is placed in water initially at 25°C. The water and aluminum come into thermal equilibrium at 30°C. Assuming no heat transfer except between the water and Aluminum block, how much water is there? The specific heat of water is 4190 J / (kg K). Choose the closest answer. a) 0 kg DUK m DU WW b) Bicg K‘SlBBLWO—s: @>(30\L) (K 13§fikiwolkl><5> c 1 cg CE)“"°”?2T‘D y : ‘w—Wfi 3L3 QC” ’ 2H; (3) Cannot be determined as specific heat is given in J ? kg K) not J/(kg °C) 8 3507., 82% W We.» If 450,000 J of energy are transfered into 0.50 kg of water initially at 60°C, what mass of water is converted to steam? The specific heat of water is 4190 J / (kg-K). The latent heat of vaporization of water is 2 ,,256 000 J/kg. a) b d) e) A house has a surface area of 300 m2, 0.40 kg Emi‘a vsgéx +9 hawk «dam Qrm 90%;) \bcfc 0.14 k 016k ‘9‘- 0' WWW (0 ‘50) Guato‘l (W03 , 8;, 8003 0.040 kg rule l‘éCwe; MSOIOooj ,ugémj i 3992003 hawmuav' 0.20 kg 1009c, warm; to 10396.; 5%«2wr Q-Wnom=9 %/90mv l» ' 7/253)» a wall thickness of 0.1 m, and an average thermal conductivity (walls, windows, etc.) of 0.04 W/ (mK). What power is needed to keep the house 25°C inside when it is ~10°C outside? m ‘m—“zzsnm/W P3 “550%? x om W x 3514 d) 3000w (7‘5” e) >100,000W ' A dark (5 s 1) soda can with surface area 0.044 m2 is chilled to 5°C. What is the net radiative power absorbed by the can in a 25°C room? < 001 W 7 2 A (3” (Tr-30w UTEN) a) b) in the range 0.01 — 0.1 W o) in thejange 0.1 - 1 W @) in the range 1 W - 10 W e) > 10 WW ‘‘‘‘‘‘‘‘‘‘ W77 W \>:‘@B(:@ 0%; W0) ééwio'gfy vthlL“ >(148“~2730 What is the temperature T of 2.0 moles of an ideal gas with a volume of 0.30 in3 and a pressure of 1.0><104 Pa? a). C) T<1OOK \vawm" W 100K<T<200K> 200 K < rank '1‘: W 6) 300K<T<400K m? 4OOK<T The 15It Law of Thermodynamics is based on... a) b) C) 6) Conservation of momentum Increase of entropy for irreversible processes Loss of energy to friction Wf énergy) Thermal equilibrium aOvtouyfl?’ 50>“ 0K W Box a Q , W “Al-CHM“ ‘Q/HQA‘ga Gilda/V32» :T “wtmlcleci‘ “Mil“ 41W 5 M2. 10. A gas of diatomic nitrogen has the same average molecular speed as does a gas of monatomic argon. What is the ratio of argon to nitrogen tempera tures? It might help to know that mass of one mol of Argon atoms is about 40 g, while the mass of one mol of nitrogen atoms is about 14 g. l93°7c> . a) 5.7 *mvl: 5K? a, b>.,2-8 2, ”To. 333—. “areionq C g3.) 3’ V 7' W ’TMz Mm, 2% I dW2.4 T e) 1.7 3‘) 3}; ~: Wm meu“ [’5’le 11. In going from point 1 to point 2 in the PV plane shown, along which path is the least heat Q added to the gas? (You may assume Q > O for all paths.) a) Path D 2:8 679 (3‘ oes not depend on the path d P th 0 _ . 4 . 8; Pzth B 53“ PW“ mall ape/mime“: ‘3be Q“VU 0&6)?ngva Wla (mdgfl ’T") Twp. t> Wufmfmumh (9» ’Qfifi" Minimum W 0.90% >0) ' ‘ \ngk “\mex ‘\ Luwe Whale “HM/E mafia ‘ 12. A substance at room tempgfa drveAhas a\hfol§tfwheat capacity (CV) bf 20 Q g u 4 41‘ J / mol-K. Which of the following is most likely to be the substance? a) monatomic He gas b) None! Molar heat capacities are all an order of magnitude larger , thanihemnn er given. WSD/fo (23:: diatomic NEE CV d) sulfur dioxide (SOZ) gas e) solid silicon crystal 13. The volume of an ideal gas, initially of internal energy U, doubles in an isobaric process. By what amount does the internal energy change? a)_ Cannot be determined from the information given. (3 UP C __ ‘ ”shame 3) V;C®7«9¢um gOWQ d)O e) U/Z 50 valwm. lfi'o't'fflf‘gg \ , PVF ‘ \ “:> Affiflfii? gaflfi‘ifitffl M51465 C“ $ ' (Duh/l”) :5) UL dwhwfi v 5?ch Uk: HCVT Thug da M, Wang; C/l/wvaBe. ‘3 Ll 14. An insulated cylinder has one half filled with a gas at 300K, and the other half occupied by a vacuum. A foil separating the two halves breaks and the gas expands to fill the entire cylinder. Which of the following is true about the ex ansion rocess? p p n3 151.423.5151» @gdflmma C. '3‘} @1732} a) only Q = 0 C" b) only W— — 0 1710 mark» 619165513?) M 1310“”: i113 {:1 01155318 Q 020 c) only AU— - 0 e> W 3—0 a L (9~ -— UJ SC) one o the other answers are correct. Wt MA 15. Which of the following is true about an adiabatic process? a) Internal energy is constant. I - . 1 Volume is constant. Cl "5’0 $91“ CW QéZ‘wo‘VhC’ QVDLEES ) 8 , a“); c) 131/1-l is constant. 1 i Q ) Work done is 0. '6 ffieaf‘trans er is . 16. How much work is done in an isothermal process with 1 mol of an ideal gas M if T175111“ .. 320 K 131mm: 5. 0 atm and mep .. 0. 235 m3? v; » 10 RT JP? BEES/320 a) W S 10 J :3!) T": QfiifigTfi'fi‘M ““1539— ‘Mo 5’ WE: “flaw? )10J<W3100J ‘szjg’ 9531 5% c) 100 J < W s 1000 J \i W 0X 6339103 I“ 5. 31 1:? d) 1000 J < W 3 10,000 J W; 31/332111; w : 2160 011mm) : 10080 3 3 10,000 J < W W:mfZ’rV111(V’g’1/;) 17. What is "y = Cp/C’V for an ideal diatomic gas in which translation, rotation, ' and vibration are important? C” C 3 41w 2. 1" 2. (i‘iflmd @53- 5911911517” 3 4/3 CvJéR CMCWE: :3??? 5 7 >73 1:11-31 . 61% c1!“ *7 i 18. An ideal monatomic gas has Vimml :2 0.25 m3 and Pinitial z 2.1><105 Pa. In an adiabatic process its volume doubles. What is the final gas pressure? W v 1:1 1 I. “I ’ {KC Q) [email protected] W 75 1 Cam WW .1 595 51011117415211 {21:10:12 -... m0'5”?a .. .3 gig» \h "in “111% \q a» c) 1.3><105 Pa 15.1119 , W 5 13:1, mama (:01 {D d) 3.3><105 Pa 5;, " 1/ [2; ,1, J e) 0.93x105 Pa 1 1 55/23:. 1; v V" .5 pg» V11 1 1 ,\ 81 s’\, U) 19. 50 030 20. 21. A sample of gas cycles around a triangular path in the PV plane as shown. How much work is done by the gas for each cycle? 8b) b) I Ell 3!’0V0 6) 8a) b) ) ) ) C QM e UWWS’LQK‘ {93023; 53> 0 2P0l/b *2P0V0 Data; 025? wfimfllfi; War; 31%;» mi hsga‘a “027053, 0% “Nancy 1, to 2V» : real/D 43w:- What is the magnitude of the entropy change when 2 kg of water is con- verted from steam to water at a constant temperature of 100°C? It might help to know that the latent heat of vaporzation of water is 2,256,000 J / kg. 45,000 J/K —45 000 J/K 12 100 wJ/K (XS ”TIE?” 100 J/K 0, 0 J/K V Warsaw n‘m— » i9 v m.» L L223 Carriages?) TV m, An ideal Carnot engine operates between a hot reservoir at 650 K and a cold reservoir .at 300 K. What is its efficiency? 8a) b) 0 46% 2%? Answer depends on whether the expansion is isochoric or isobaric. 6) .- _.... " -.r 32:0»;s9 W'eg‘o What is the entropy change of the entire system when 095 kg of water at 300 K is mixed with 0.95 kg of water of water at 360 K? Assume the water is an an insulated container and no heat is exchanged with the environment. 8a) 730 J/K 350 J/K Wt: 380 J K 33 J/K 0 J/K .~ 7% r» (Xi/«>2; “WCKT'_ &$“g 71:1” *8 a? :- T he 09 5‘03 Mia“ local-€03 has dl$>0 \! ‘ ‘ 000\e& Em“ are, ATOM? erratum? a“; ‘32; ‘ r f SD “Vi/4L “at? CQS 19W tire. 939%60‘ as “9+ 0. 3953mm 4095300020) D,» (age/goo) .» \ 2%3 30¢ 09940 we, \ml‘Vs k5 h «trim; gnaw») ’ (90,"? mg 11101.. 6% 23. 24. 25. 26. Several “wheels” roll without slipping on a surface. All have the same mass m and center of mass speed 11. Which has the smallest angular momentum about its center of mass? a) A uniform solid disk of radius 7". A cylindrical shell of radius 7" and small wall thickness 75 << 7". b) c) A uniform solid disk of radius 27". L: C311; W1 MW“) >(3‘g EA"... L 30"“ d)” Amugfig‘rmmrsohdmsphefé‘of r_a ius 7".>.\ 3 ‘MV’ ‘1‘: n”. 11? m E" 816% 1.: Q3111 “1:111 1 .. At a construction site, a 100 kg contractor walks from the near end 1 m out":3 along a 10 kg, 3 1n long board that is supported at both ends. What is the magnitude of the support force F1111 at the far end of the board? e A uniform solid sphere of radius 27". 1.:er (””111 1; 1f” 1 I 100 kg 1 11 ‘330‘N. - b) 380N 653 N d) 2940N 6) 2990N 1——~———1—————————————>1 “Talia. "111111111121; 13.931313111"? V‘tmr MCQ 1 M1391» 919.1111 W Z). 1bwlech‘ ”1“ W1 X £00L&1;1§§1115$L i: ’31‘11'11'krgfv" 1;”111..11\\;o[_:>, "WQM A 24 kg box floats 2/3 submerged in a liquid What is the bouyant force on the box in Newtons? Choose the closest answer. 1¢¢V“”‘W . Q a 240 , 11 . €3.11. 1.1.1.101 11:3 b) 160 ‘30 ('5’ \ 2 l 51‘; ‘ 1 c) 80 :5“) 11-111 zr 3 1'; d) 16 ”if?“ ‘3‘ e) Need volume of box and / or density of liquid to determine the force. Consider the earth to be a uniform sphere of radius 6.4><1O6 m and mass 6.O><1O24 kg. What is the gravitational force of the earth on a 1—kg mass a distance 7" = 3.2><1O6 m from the center of the earth. a) 9. 8 N b) 39. N W d) O N— inside the earth there is no gravitational force. e) 20. N r ‘15“ 3% +112. 9.61.1"de were, a 901w? M53959 U91: 11901.13le J0" ,. 911E13W79111§>1 1'1 2411 1011} v11 DQM'1»<¥1~ Jmulf’“ EKEB 5" W111!" 111.: Gmgm , 81AM. 111W, ; 30111.. 1511.1 .. 91.12.911.111 1311111111112... "1"”; 1 2y; “:2 e . VNEJ 1. 4 afif CK 99kt‘r‘mk 511,151.“. $21,341.11} V10 gwrcw 0V! é 11 ms'xdfi. “all ar‘fimde “We, {1, \fl mugs». 611419 :51 a? 3““!g ” ‘41"! 11,! (NM 1- 13‘.“ "‘1‘: WW?“ 1,111: ’11, 1/1; 1;": We... env+l¢5 7111:1651) “101. 43>li 1191443 ~11.» 1 51: 61/113 Mm 51111,; V€1M1e3§fl1raj 27. A 1.6—kg block on a horizontal frictionless surface is attached to a'spring whose force constant is 190 N / m. The block is displaced from its equilibrium position at a: = 0 m to a: = +0.080 m and then is released from rest at time t = 0 s. The block undergoes simple harmonic motion along the alt—axis (horizontal). The velocity of the block at time t = 0.40 s is closest to: MW”? ' * A q “9:53 Lko°7 a; f)(fjsnrlf/Ss X, chng" M View? l3: 0‘ .5; o c) —0.3 més of”; «WA 9M U’J’L A : 568m d 0.8 e; Omr/I; S ”(3 M ”30.1 QWQO 930W 0 glwdg 28. A transverse wave, moving on a string at 0.86 m/s, is described by y = 0.21 sin(ka: - 1.4t),.with a: and y in in and t is s. What is the wave length? a) 0.21m .. , A .. L b) 1.6m \J’Mflegmgx mile ,W\% wwld ‘ Eucfa c) 10.111 ,> k: W/D&e: W“ {(55,453 Mfim d) 0.61m , - m M: “M :5 Maw/t: Wag: mm 29. Two adjacent organ pipes, open at one end and closed at the other, are played at the same time. One is 3.30 m long and the other 3.40 m long. The speed of sound in air is 344 m/s. What is the beat frequency between their fundamental frequencies? a) 102 HZ :3: x Q1) w&cw\-\9,yvl1&l : 14L» 5; Lg ’ 4: beat 3,; ?."f quo b) 51.2Hz ”NW 39— éy u; :Wtu, c) 3.08 Hz W“ " 2‘ 3 2,3ng2513 d) 1.54117. Q” s :W. , 2“ W Qe 077sz twin ~ 0x802: 33M 3: Law 3 2.53%- \‘Sokl 30. While you are standing still, a police car with a 400 Hz siren passes you, going 40 m/s. What is the magnitude of the change in the frequency of the siren that you hear between when the police car is approaching to when it is moving away from you? The speed of sound in air is 344 m/s. ,3) 68 HZ “(Fl if...” 2> A =9 l "1. Q I ""Ufl‘ '3 mg: g o 5,73 ' " c) 47 Hz ““1 d) 83 Hz 3W 3W - ‘... L W 6“ M E e 94 H79 ” U30 wad—M «M0 “antiwar-3 ...
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