SS06Exam3 - Physics 222, Summer 2006 EXAM #3 Monday, July...

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Unformatted text preview: Physics 222, Summer 2006 EXAM #3 Monday, July 24, 2006 Name (printed): ID Number: Section Number: Recitation Instructor: INSTRUCTIONS: 1. This is a one-hour exam consisting of twenty multiple-choice questions. Each question is worth 1 point; for a total of 20 points. 2. Use a number 2 pencil when marking your bubble sheet. Do not use ink. Ask for a pencil if you did not bring one. Fill in the appropriate bubble completely. if you need to change any entry, you must completely erase your previous entry. Also, circle your answer on the exam. 3. Carefully read each problem and its five possible answers before beginning to work on the problem. Select only one answer for each problem. Choose the answer that is closest to the correct one. 4. Before banding in your exam, be sure that your answers on your bubble sheet are what you intend them to be. Copy down your answers on a piece of a scratch paper for comparison with the answer key to be posted later. 5. When you are finished with the exam, place all exams materials, including the bubble sheet, the exam itself, and scratch paper that you used for the exam, in your folder and return the folder. Good Luck! Exam 3 Formula Sheet e=1.6x1019C;ma =9.11x10’3‘kg;y0 = 4rrxlo’7Wb/Amfia 28.85x10"12C2/N.m2;c =3x108m/S k3 =1.38x10’23J/K;NA = 6.022x1023 molecule/212013;}? = 8.314J/mol.K;latm =1.013x105Pa 1 1 a 1 9 ngnggflg = P1 +pgh;p1v1A1= 132122242;le 2123/5191 +pghE +Epv1‘ =P2 +pgh2 +5101); 5 y = A cos(a)t u kx) for wave motion toward +X; y = A 005(01‘ + kx) for wave motion toward -—X ' ‘ 2 I 7 7 P I f 6‘2 1 l 0:227] andkz—E;Pm. =— #Fa)“A”;I=+~= P7 :24: r3; {:76 3}; i A 2 A 4727" [3 rl‘ 8x” v” 51“ 1 F T =—— wafn =nfi;1,,=2L/n;v= 3:: F ;v=331 1+ C ; 2L 1“ # Vm/L 273°C 1 1% =BkcoA2 2 1a,, 2 firm/125 =(10dB)iog[fl;fgm = )3 —f, ;f'=[v+"" Jf; VWV‘ O ‘ 9 5 T2=§Tc+32;1; =30; —32);Ai’}- ngTcAi’: 232;]; = I; +273.15;AL = aLDAT;AV = 31/022"; ' T ~21 PI/ H ‘ gHm £24900" —T:);PV=nRT; 1 1 = PEI/2 :constant; L ' 2‘; T2 3 mm: = 11M ;M = mN 1f ;Average K” per moleule R 1 [11' ————-; Average K” per mole ofgas = #Mv; ziRT; v 2?; v m NA 2 2 mp — I‘. Ktotnans m N[lmv3v] : = A": = 2 Vtmvcm : V 2 2 2 3 V 2 AWN/gray C W=P(V2 WK);QmAU+WgQ=nCVAT;Q=nCPAT;CP —CV :R;}/=—Ci;W:nCV(Y; —T3) ‘ V IQL‘I 1_ _|ch-|H chl ' _ _ 1 TW 1 moonstle =const;W=——(p1V *paVoM =1"- ;e :1—ofiK- * - y~1 I "A rf—l IQIJ’l—lQCI . I: 2d -;K(.W : ( ;AS= —Q'S:klna);AS=kina)3 ;A520; TH "I; I T (01 ‘r Tf V," - =nCVh1—T—+nR111—I;—;F=q(va);F=qusm¢g<DB = [Beos¢dA;F=1LBsm¢; _ 13 _ RHIB. 9 nqt r 210NI . . 2a a = #0 Jemier ' _ dd) 8 =—N«J dt 133,5 1 ———;1:—(1—e L );i=1nme L ;a) = ; 2 #0 R 0 \ch 1 1 1 :‘=i"/Ex/Q2 —q2;i=Icoswt;v=Vcos(cur+¢);XL =aJL=2rrfL;X(.. =* L _ wCZZWfC; - N .V = JV; + (V; — VC )2 = JURY + (BIL — Def = Ix/RZ + (XL —X(v)2 : 12:3 = WWW = 82 N2 1 1 1 I ; =uE +113 Z—SOEZ +A—BZ;I=S , 3—05 E2 ;P =—(absorpti0n) 2 Zflo w 2 0 max rad c 21 . _ a H E —- ——(t0ta1reflect10n);Pm = 1m” Vrm cos ¢; E), (x,t') m Emax coonc — (at); BI 2 B cos(kx w wt); S 2 LE x B; max C c . . . n =~;/1 2&1'96 =6r;na smfla :nf, 31116351116. =—h(nu >nb);I=Imax cos2¢;tan6p =w-m = 7’1 CWT 7 a nu Choose the one alternative that best completes the statement or answers the question. 41- In the figure, two solenoids are side by side. The switch S, initially open, is closed. The induced current through the resistor R is: A) zero Answer: B 42- In the figure, an electromagnetic flowrneter is useful when it is desirable not to interrupt the system in which the fluid is flowing (e.g. for the blood in an artery during heart surgery). Such a device is illustrated. The conducting fluid moves with velocity v in a tube of diameter d perpendicular to which is a magnetic field B. A voltage V is induced between opposite sides of the tube. Given B=0.120 T, d=1.20 cm and a measured voltage of 6.78 mV determine the speed of the blood. A) 1.8 x 103 m/s B)0.18m/s $2.233 E .2: L. a” E) z . s ‘ r fl if?) 225% gems” .: («26900 m) New 1 > swer: m3 1 an '1: W/5 43— The EMF produced by a generator is V = V0 cos cot. If the angular velocity of the generator is doubled, and everything else remains the same, the new EMF will be A) V” cos 2cm C) Vocos 1/20): 3 e D) V0 cos (0t VQCOSZGYE \2 j: (31W) C93 nswer: E :2 1V. Cos $3.2,er ,n 44- A circular coil of 30 turns and radius 5 cm is placed with its plane oriented at 90° to a magnetic field of 0.1 T. The field is now increased at a steady rate, reaching a value of 0.4 T after 4 seconds. What EMF is induced in the coil? A)0.035V E , f) ,JE B)0.029V [87 : )-— M t; M/Q a) C) 0.023 V 1.5%? D)0.018V SR? fl _ Cajeomv w; 30X gtyuxgij AnswerzD ifs—(5 : CHOW? V 45- An 86 mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is tightly wound around the solenoid at its center. The coil resistance is 8.0 ohms. The mutual inductance of the coil and solenoid is 12 pH. At a given instant, the current in the solenoid is 120 mA and is decreasing at the rate of 2.5 NS. At the given instant, the induced emf in the solenoid is closest to: iii For Sciémdilcgj l. ': (Xi; mi“? C)190mV f ’ @ZZOmV t: 76531:”: E) 170 mV flit F3 AnswerzD / : it” :— ngg 46 A real inductor and a 50 of capacitor are the elements of a L»R~C circuit. The real inductor has an inductance of 80 mil and a resistance of 48 ohms. The circuit is in a state of underdamped oscillation. The angular frequency of the oscillation of the circuit is closest to: A) 450 radfs @100 rad/s (I {I r—T—T C) 350 rad/s L} 1 I; ____,__... __ H D) 500 rad/s " C ' -_ 1 E) 300 rad/s V L‘ 21 L Answer: B 47— In the figure, a 0.25 H inductor and a 16 aF capacrtor are 1,; m5 ___ 43 3'; connected in parallel across an ac !, ,1 , _ r A__ {1 source. The rms voltage of the '1“! g 4'] J it’d: 3:- source is 40V, and the angular frequency is 400 rad/s. The resistance of the circuit is negligible. The angular frequency of the source is changed, so that the circuit is in resonance. The source voltage is unchanged. The ne 5 c ent thr u the c'to is cl tt : . [Ma wrm urr o gh capa 1 r oses o I 5.60 7. A A) 0.34A ,\ [L __ ~: B)0.26A 4% 7" . f." ’ mm are a azaaxléx {{2ng "15uF D 0.30 A , ' -" :3 [ ,.. . «a 6 E .32A X s: ‘7‘“ " gh<9gfé55£0 . Answer: E C: M6 C Li i a f (3 r3 rz-A Th: 48- In the figure, which of the phasor diagrams represents a series RLC circuit driven at resonance? B) 2 C) 1 D) 5 E) 4 Answer: A k :4 49- The inductor in a radio receiver carries a current of amplitude 200 when a voltage of amplitude 2.4 V is across it at a frequency of 1400 kHz. What is the value of the inductance? A) 4.42 mH I 7 L . 'v 1.36 mH V’ :- j: X 1 I at) Tm) L :: TA C) 1.43 mH L. L + W D) 9.20 mil . . E)1.97mH L 2”}4 __ ~ :‘ ILZéM . :: I I 3 .77 x 10'3 T 50— The magnitude of the Poynting vector of a planar electromagnetic wave has an average Vlue of 918 mW/mz. The maximum value of the magnetic field in the wave is closest to: B) 1.21x10'7r '_.' m i m I? c I'M“! C) 1.75 x1011" at; 2/49. M 2/“5 N” fl <5 , n)4.3sx10‘ T 2 r . _ if; .3 -~ ‘ E)6.20x10"8T g j 2/163?” IZKW‘X‘G ' _ "*0- :(8331X10’I: Answer: A ' C 51- A11 800 kHz radio signal is detected at a point 9.7 km distant from a transmitter tower. The electric field amplitude of the signal at that point is 660 mV/m. Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. The average total power radiated by the transmitter is closest to: 6 ’2 .. A)l.leU W w E {P : : CfiJ-EQK>(ZI_TERZJ B) 8.2); 105 W w. o m C 1.3x10:W A 3} W ‘2 . 32 D 6.8 10 W i - . , ’“ . . .r'E- .r I ,. ‘ - E)9‘8:105W ‘[ :- x‘fix‘lnx‘ggh’g >th Xfigéexiie )XZfX3-lirxci Flam} AnswerzD - Ea- 52- What is the essential difference between microwaves and blue light? A) One undergoes refraction, the other does not. B) One is a form of radiation, the other is not. @There is no essential difference in the nature of microwaves and blue light other than a difference in frequency and wavelength. D) Blue light is a beam of photons. Microwaves are not photons. B) One has an electric charge, the other does not. Answer: C 53- In the figure, a ray ab, of natural light in air, makes an angle of incidence 0 at b on a plastic plate. The reflected ray be is incident onto a glass surface at c, is reflected again, and continues as ray ed. The index of refraction of the plastic is 1.48. The glass surface forms a 60° angle with the plastic surface. The angle of incidence 9 is set at 62°. Ray cd is 100 percent polarized but ray be is not. The index of refiaction of the glass is 5583:“ Jim «in. £75m : as: e: anal . Wan—a 52542.6. ., 3.2 54— A ray in air is incident on a glass plate whose index of reflection is 1.60. The angle of refraction is one half the angle of reflection. The angle of refiaction is closest to: A)29° /, r - :1! .: [.é B)33° a; "‘ .291 inl 3n’ @370 1/1 Sim ,: flzgm D)35° 1 h g Sflé E)31° sin "192 L‘ if 2 C AnswerC 23%51C0331:LC S 1 a (1653 ” 55-Inthefigure, the orientation of the transmission I H CI 0 E NT axis for each of —-:I- three polaring LIG HT 7 1 sheets is labeled I '3 “3,06% ‘ relative to the a WWW; - vertical direction. ’ vertifial A beam of light, polarized in the vertical direction, is incident on the first polarized with an intensity of 1000 W/rnz. What0 is the igtensity of tlée beam after it has passed through the three polarizing sheets 3 ' z = '7 .. . a i ' 1 - r‘ I digitize 30 > and 83 60 - 9.; l w i m. i ale r s e- 24 2 B) 316 W/ in2 (flevf fir Life LL39. 074.10%; 3 2 H,“ r A V 4.. C- "r ' ‘E . :3 ___, i I i” . ’2 a. BMW/n? a - 7.x 2 3750 as a 375.. r Answer:A :3 12,61” 62- 6 a w )2 l. 2 “(a r; ‘ ,. 7/3 ’T («659’ aga coscéwc) 2-750 Cm w “ 3 " _.._ _ a Z :— ¢ea xF—w 2: 5353 he” 56— The critical angle for an air-glass interface is 10.5 degrees. A ray in air is incident on the interface. The reflected ray is 100 percent polarized. The angle of refraction is closest to: A) 9.130 B) 8.530 14, gm 6%. 17:. mfs‘ffl no, :. i C) 9.730 “If j # f D "—2), H7: 55in $644+ “ finial? Answer: E n - W ii; I 5"qu 6674/1 (9’3 ,1} 57- A plane mirror is placed on the level bottom of a swimming pool which holds water (1131.33) to a depth of 2.5 m. A small toy is suspended 2.0 m above the mirror. An observer above the water looks vertically downward at the toy and its image in the mirror. The apparent difference in depth between the toy and its image in the mirror is closest to: #vfwfir A)2.3m 8% fl 2 M- ? A __1.7m W» ' 3.0m j Z: LIV] E) 2.7 In a q r A 3 Answer: D P79 Maw“ 6L} MEN/m in I" m TAMI!” ‘ 05% W lottwitm 449;] owl image f : W" #15 +42: I] :: K-X’iflg — ace .1 mag—e, :- '3 m 58— Suppose you wanted to start a fire using sunlight and a mirror. Which of the following statements is most accurate? @t would be best to use a concave mirror, with the object to be ignited positioned halfway between the mirror and its center of curvature. B) It would be best to use a concave mirror, with the object to be ignited positioned at the center of curvature of the mirror. C) It would be best to use a plane mirror. D) It would be best to use a convex mirror. B) One cannot start a fire using a mirror, since mirrors form only Virtual images. Answer: A 59— A glass tumbler with a flat base 7.3 mm thick contains an alcoholic liquid 54 mm in height- The indices ofrefi'action of the glass and the liquid are 1.50 and 1.34, respectively. The apparent thickness of the glass base, viewed at normal incidence from above the liquid, in mm, is closest to: I I ‘Vlc or “been: 5.2 Elf W W“? D) 5.0 a" L’ ,. E)5.6 1 2 3' Imam” Answer: B O’KQ. _ :2 .LJ :2 “m ‘ 1’41 C 2 n2 2 al 2. “i 1.31,, i I} new: 2: viral: : 45.2.4 ~ lam : 43W 60— Consider a solenoid Whose length is three times its diameter. A) The stored energy density is greater at the ends than at the center. B) Energy in the solenoid may be considered to be stored in the windings of the solenoid, rather than in the empty volume inside. C) The stored energy density is constant throughout the solenoid. @The stored energy density is greater at the center than at the ends. E) None of these. Answer: D ...
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SS06Exam3 - Physics 222, Summer 2006 EXAM #3 Monday, July...

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