Final Exam 222 Fall 2010 solution

Final Exam 222 Fall 2010 solution - Note that questions are...

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Unformatted text preview: Note that questions are numbered 55 through 31. 55. A series ELI: circuit is connected to a 220 ‘u' rrns. SD Ha wall socket. The current in the circuit has an rrns value of 15 A and leads the voltage by a phase angle of 34". Find IXI-XEJ , the total reactance of the circuit, and compare the magnitudes of It and If. 12 fl and X: {I}; math—'3'- [flflrig V133 :3 H0 : —- 8.2 I} and X; c X; C. 3.2 n and XI:- Jr; D.I2nandx1>)fc I?” = \%gm*-F’ : ers Ire-so?! E. 15nand hex; 41M}. In“ HR .fl‘isnss : 3.1; c. lfijlb‘ 55. The magnetic field of a plane electromagnetic wave in vacuum has the following form: “P inflame}. ._ a_ At 1! = [II and t: I], the electric field of this wave points. in the '+ x direction. The watre propagates in the - direction. +4“! +5! *‘t |-‘l' 9 “‘r'y fleas! E- ‘1 ‘3 la Tho F16 dirtfltffi‘n E. -x,-;r D. +Jt',‘-2‘ ("a "n I . I E. «HQ-Ir}: Enlig— U in [Th-Q d'flalflafi E- mu}? 1C? +X. a?) .f 4 E ‘3, Pi 1* c v s 5?. Two fishr A and B. are swimming in a quiet lake at a depth of ill-D m. but separated by a distance d. Fish A is however quite surprised when he looks up to the surface and sees a twin of fish El hovering above the surface, somewhere in the air. What is the minimum value of dfor this to happen? in“... = 1.33} fiE'Jtlfl tfi‘lfi'nO-D ‘1 \P .12. gm cal : R{é.éfim)"l‘ahkp ; __.. —I 58. A beam of natural light traveling along the x axis shines upon 938° llfitm a stack of three polarizing sheets. All the sham are parallel to the ya plane. The first polarizer’s axis is aligned with the y axis. The second polarize r’ 5 axis makes an angle of 3D" with the 5.: axis. The third poia rizer's axis is aligned with the 2 axis. What is the ratio between the intensity of the beam after the three polarite rs and the Initial intensity? Fl. ‘3 f I r not: fire? wire; ; E ((23 noel: V 9- U E: 3:: at -- = we 1 e: 73$ .. on 60 " as M960” o.er ll l-l 5.9. A thin film of oil in = 1.44] floats on water In = 1.33}. Red light with a wavelength in air of MD nm is shone verticallv on the film. Iv'll'hen reflected light is observed from above, 1what ls the smallest thickness of the film that will result in total constructive interference? ® 122 nm . 1?!- nm Cl 243 um El. 35D om E. 435 nm 5il Ll-l’lts ED. An uptlcal system consists of a diverglng lens and a convert mlrror. Thev both have the same focal distance f s l]. The lens and the mirror are coaxial and spaced a distance cl = 2 lfl. An object is located at a distance {:l‘ to the left of the lens. The final image produced by this optical system is; A. Fleal,r upright and larger than the object. El. Real, inverted and smaller than the object. 1v'lrtoal. upright and smaller than the object. D. 1ll'irt1.lal. inverted and smaller than the object. E. Virtual, inverted and larger than the object. 51. A charged balloon is pieced close to an isolated, neutral metal bar as shown to the right. Which of the following is true? A. The bar acquires a net charge by induction. and exerts an attractive force on the balloon. B. The bar acquires a net charge hi.r induction. and exerts a repu1siue force an the balloon. © The bar is polarized and exerts an attractive force an the balloon. D. The hat is polarized and exerts a repulsiue force on the balloon. E. Nothing happens because the metal bar is neutral to begin with. ® {9 ,1 'i“__—_JI T 05H rhfltto ' s..__._ . "firpfu‘g’ige {Latte/1L“ “Am gflflcito'rn 62. Three identical charges (I = it] n: are kept on the corners of an equilateral triangle of side a i: 3.0 cm. All charges have a mass of 1.0 g. One of the charges is released while the other two are still kept fixed in the their positions. What is the speed of the released charge when it is VIEW far from the other hive? . 2.0 cmfs 3.5 cmfs C. 3.5cmfs D. it] arm's E. menu's cmijfiffi'flt with q? Jiflqfim I a i. 2 ii I -+— O : {gmfi + O 63. A huse {diameter 2.0 cm] is used ta ernntw“:r a container [if water as shown in the figure. The mntainer is a cylinder of radius 3.1:! rn. IIlI'Ilhat is the speed of the water flaw at the end of the hose [point A} when the height of water in the container is 3.0 n1? (9 4.4 car's B. 5.3 mfs - E. I? rnfs _ in D. 8.9 this ' in m E. 5.3 mfs 1-0 “I 3...“... - are.» at + filial-t" (SQ-IWV .l’B *if'f‘gt [ASH-Om) $293 " 3W5“ {A ekllzgflfl-w') 54. An insulating sphere with a Uflifflrl'l'il'y' distributed charge a a El has a radius a. A concentric metallic shell has a charge 2G and radii b and I; Let Vir} be the BIEE'iriE patential at distance r from the center. Which of the following is true? - - - h w u d — - ' - I : Vial = an: we] 9 vial : Vibl = as] c. via}: whirl-rial [1. via] r: we}: are] E. we“ We}: Vic] 65. Two spherical capacitors are connected as shown below. Both capacitors have the same gecir'rietrv.r but the capacitor on the right has a dielectric with it = 2 between the spherical shells+ The capacitor on the left has a charge UL = 21] C. IIl'll'hat is the charge on the capacitor of the right? A. 1.oc 2.o c c. soc o. eoc E. soc Cowman; in DUE/'3 LE3 W .. 65, A non—standard sized microwave oven is EDD cm wide. When in use, it supports a standing wave with five anti—nodal planes of the electric field along its width. What is the frequencyr of the microwaves? 3A 9 "i—“15 1 A. 1.5m: 1!} H2 . 1.3:] e 10” Hz 3.?5 x 1o9 H: < :) i. ‘L . 15o}: 10“ H: I g g 5' E. 9.15 x scia Hz ch——————-—':i (A :. :3 (A, Ej- Q'O‘OEW g, E. 3"“ 0,08 rr 5?. A converging lens is: shown in the sketch below. The twc radii uf curvature have absolute values of [1.25 m and EMS m. What Index of refractican shnuld the glass have lithe lens has to have a fatal length of 211i] n1? A. ll?! . 1.55 .. “Er” D. 2.12 R1 ‘- 09“ m E. 2.50 fl.25rn l i l _, .L - g RF!) (52m AER—aflL-‘i‘i—r‘n 53. An abject is 15.13 cm fmrn the center of a silvered [mlrm r-iilte}. spherical glass h:'.r|il:laii.r ornament that is fill} cm in diameter. What are the positiun is": and magnification [mi of its image? 5’=-1.4cmandm=fl.{ififi -. _ W" $'=—1.4cmandm=—E.DEE 12* '2 50 L” -D.EB cm and m = Dflil ¥ :—l.fi30cm 5’ 5’ "0.93 cm and m = —D.D?1 3' = 43.55 cm and m = 01143 A. 3. CC) 3. E. a _ ig‘Owd i 13.0% n... gL—‘E'LI :% Sfl:—G‘aafim 5 a. i 5 fl?) 9.... _ = L = 0.0% 69. The first true diagrams below involve lenses and the second two involve mirrors. The dashed, horizontal line in each figure is the opfl cal axis of the system and horlzo ntal rays are parallel to thls axis. Which of the following my diagrams {if any: is MDT correct? &-——~ Tim 6-..- Tbs; _ mama F316 0 ._ _ as; film. _ _ __ F 9‘s f. r; —"_3"— E- _ _. + _. ..- _..... _ F \/ HERE: _ _ -slfi'; _ _ C. Ellpsa'J-l x” r’ or." /’ \ra RKE “far ._ _|l _ _ _ D' \ E. All four diagrams are correct TD. Arr infinite array ef wires parallel tn the z axis is used te a make an infinite sheet parallel to the ire plane. There are eat: wires per meter. A current of It} it flows through each 1iiiire in the positive 2 directien. Find the magnitude ef the magnetic field at a paint an the x axis with x = 2J3 n'i. A. 1.E|ImT . 2.0mT 3.5 mT 4 D. 4.5 HIT A E. TflmT l" E gag“ .. am = tibifll’i ' (n:fiom“‘\ 9— a. T1. A thick capper cable with a Slit] cm radius carries a Etiflfl A current uniformly distributed threugheut its cross section. What is the magnitude of the magnetic field inside at the wire a distance of lat} cm frum the center? H. A square planar coil of wire has a cross sectional area of 1D cm x 10 cm and consists of 1m loops of wire. it is rotated about an axis that is perpendicular to a uniform magnetic field of Li} T. At what frequency does it need to spin so as to generate an emf with an ampiitude of 1m ‘ir'? A. 1013 H2 B. 59H: E. 33 HI iii; «9 gm“ wee Hi "'__" F; ..—--—-_'_"F_ 'L : when) (ia'rYoim) Erasers T3. Take a single loop circuit that consists of a real batten.r with emf = IDJIJ in" and an internal resistance of 5.00 [1, and two resistors. R1 = 3.00 n and its. Forwhat value of R; will the most power be dissipated in it}? E, a. tone "I : @eoao 1-4 P» RHEIA‘F- c. man a o. nan P L- _.1_ E192 E. 20.00 a : REL -: {RHrQ-rir \JL Cm master—x D : ff;- _ 39L 0 JPN-'21 i'r‘ikf N. Which of the fulluwing circuits can be used as a law-pass filter, LE. Used to fiiter out high thanunanq.r components of the input signalI Um: —— g :——--"—\—'-—-—--F it:th u‘ R g g" x' '1' rl- III 1 L a '5 r ' Ii; E. The? all are good low pass filters. all—HI 1:") (Lina/u {DJ {W‘figm "36:3: ‘- CU” (*9Ufl1'Efl I) T5. The whole circuit below is in a region of uniform magnetic field pointing across the page toward the right. The switch is Initially open and is suddenly closed. Consider the length of wire that connects the resistor and the capacitor. in whid-i direction does the force on this wire point? Jr};— A. To the left. | I B. To the right. *_ '—' ' ‘— g F But of the page. T E‘- " D. Into the page. 1' \i: E. There will be no force on the wire due to the * r magnetic field. ' L“ B it TE. A diffraction grating has slits that are separated by one? mm. There are 12GB such slits in the grating. if the grating is itilltir illuminated be a laser beam {3. = Elli] nm‘i, what is the approximate width of the central spot on a screen located Milli rn from the grating? it. 1.2x1fl‘5n1 {We} ri‘mtimW ‘- dieing: C) a. sexto-im a} c. new. «me. i: awe. s: 2.3x1i1l'4m N E. 1.2x1fl'3m . - 9 _ -i- 9‘ 6???va no 6113‘ $1.“ I "’ — wé‘nx : 20 :(2,00 hat-inJRGD F: (200th)9—{1,WHO - 9.33%” m 'r‘T. An :1th is placed 213.0 cm from a screen. A converging lens with a 4.0!} cm fatal length is pieced between object and screen. How far from e screen should the lens be plated so as to {i} obtain an image an the screen with {ii} he iargest magnitude of magnification? A. 5.53 cm from screen B. 3.?1 cm from screen E. 11.3 cm from screen 14.5 cm from SCFEEn E. 1?.2cr‘nfmm screen EUEEH A T d i I 5+5 :QDu-n C- I g 5. 5+ 5‘ :- 3-0 I i 'I _.—— + ___ : --'_ 5 5‘ “r The next four questions are the laboratory final exam. TE. A DC uoitage source three bulbs and a digital voltmeter are connected as shown below. I}: source so- Bulb 3 With these connections, the voltmeter measures the voltage across: Bulbl _ Bulb? c. BLIle ‘9. The combination of bulbs 1 anti 2 E. The combination of all three bulbs. FIT T9. in the Electron Beam In A Magnetic Field experiment. electrons are ejected from a hot filament and accelerated through a iroitage V. The electrons then enter the region between a pair of Helmholtz coils. which produce a uniform magnetic field when a currentl runs through the coils. In the presence of this magnetic field. the electrons follow a circular trajectortr. if we double the accelerating trolta go, the radius of the electron path is expected to change by a factor of: A. [LS-U E. {III C. 1 e . 2.3 QMV' MW insuiating handle all Which of the following is tr_ue_ about the proper wait.r I to charge the disit of an electrophorus?I Metal gm: Ins uiating 9 late A. All the charge is transferred from the insulating plate to the disk. B. The insulating plate always carries negative charge. C. Touching the metal disk to the insulating plate is called grou rrding. The Metal dislt becomes charged when It is grounded. . The insulating plate must be recharged by rubbing it every time the dislr is charged. 81. A certain potential difference is" measured by an DSCiIIflEEOp-E' is expected to show an exponential tleea'luI rm} = Vifl]e:tp[~£] T where fis the time constant of the decay. Shown bEIDW is the printout of the oscilloscope and the scales used. 1ll'ertical scale : 3 Wmajor division Horizontal scale : 2t! msfmajor division 1:.lerti-:a|oositlon: if: El at bottom of screen. A. 2D ms B. 43 ms . 115 ms @5112” Ug : {new HIV +3 - 51130011: . 16:] ms ...
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Final Exam 222 Fall 2010 solution - Note that questions are...

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