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Phy 102 Spring 2011 p41

Phy 102 Spring 2011 p41 - Physics 102 FORM 0[1 Two charges...

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Unformatted text preview: Physics 102 FORM 0 [1.] Two charges of +1.0nC and ~l.0,u.C are 12 cm apart. The magnitude of the electric field midway between these charges is: [A] 0 [B] 2.5 MN/G @50 MN/C [n] 7.5 MN/C [E] 10 MIN/C [2] The Work required to move +2.5nC of charge from a 50—V to a lO—V equipotential surface is: [A]—5.0n3 [B]1B.0p.J {0] 100,41 @nsoin [E] (1.50le [3] A 75—W light bulb operates on a potential difference of 95 V. Find the current and the resistance in the bulb. ‘ [A] 0.113 A and 12 o [B] 0.653 A and 15 n [C] 0.789 A and 120 n [D] 1.115 A and 120 Q [E] none of above. [4] A non—ideal battery has a 9.0 V emf and an internal resistance of 0.50 (2. Determine the terminal voltage when tbeurrent drawn from the battery is 1.6 A. ' C [A] 5.4 V [B] 6.0 V 8.2 V [D] 9.2 V [E] 9.8 V [5] Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.10 In. What is the strength of the magnetic field midway between the two wires? [A 2.0 X 10—5 T [B] 4.0 x 10—5 1‘ [o] 6.0 X 10*"5 T [D] 8.0 x 10‘5 T @311 X 10‘5 T . [0] A circular coil of copper wire is lying fiat on a horizontal table. A bar magnet is held with its south pole downward, vertically above the center of the coil. The magnet is released from rest and falls toward the coil. As viewed from above, you can say that, as it falls, the , agnet induces [A] clockwise current in the loop. [B] counterclockwise current in the loop. no current in the loop. [D] an emf but no electric current in the loop. [E] Not enough information is provided. ['5] Which one of the following is the correct representation of the electromagnetic waves from longer wavelength to shorter waveiength? [A] radio waves, infrared, microwaves, UV, visible, X—rays, gamma rays [B] radio waves, UV, X—rays, microwaves, infrared, visibie, gamma rays C] radio waves, microwaves, visible, prays, infrared, UV, gamma rays triadic} waves, microwaves, infrared, visible, UV, X—rays, gamma rays " radio waves, infrared, X-rays, microwaves, UV, visible, gamma rays [8] A verticaliy polarized beam of light of intensity 50.0 1W/rn2 passes through two ideal polarizers. The first polarizer makes an angle of 20° with the vertical transmission axis, and the second one makes an angle of 40° with thevertical transmission axis (in the same direction as the first one). What is the transmitted intensity of this beam of light? [A] 11.7 var/m? [s] 10.5 W/m2 @390 W/m2 [1)] 66.5 W/m2 [E] 78.0 W/rn2 . Physics 102 FORM 0 [9] A scuba diver is 10 m below the surface of a lake (7’; m 1.33) and turns on his flashlight which emits light in all directions. On the surface of the lake, the area is illuminated in a circle. What is the diameter of this Circle? ‘ [A] 8.8 in [B] 11.4} In [C] 17.5 m @228 In [El insufficient information [10] During a. long night of studying for your physics exam, the best way to prevent eyestrain is to [A put the book very close to your eyes {El focus your eyes on a distant object for a few minutes [0] take your glasses of}? and rub your eyes vigorously [3)] drink coffee {El none of the others will help [11] Monochromatic light is incident upon tw0 slits 0.180 mm apart. The resulting interference pattern is observed on a screen 1.65 m away. If the spacing between nzinirna is 5.00 mm, the wavelength ofthe light is: [A] 475 nm .546 mm [C] 582 nm [33] 633 nm [E] 652 nm [12] A particle of rest mass m travels at a speed of 0.800c relative to the laboratory. its observed momentum will be: {A] 3/5 mc [B] 3/4 me [0] me @4/3 me [E] 2mc [13] In the photoelectric experiment, the current ceases as the wavelength of the monochromatic light is increased to 445 nm. The work function of the cathode is {A} 3.63 eV [B] 2.46 eV @229 at [D] 3.53 ev [s] 4.22 eV [14] What is the de Broglie wavelength of an electron (me = 0.511 MeV/cg) that has been accelerated through a potential difference of 200 V? _ [A] 1.4x10”29m [B]6.1frn [Cl86.7fm @ss.7pm {allowance [15] A large collection of nonnrelativistic electrons has a mean kinetic energy of 1.0 eV with a corresponding spread/ uncertainty in their momenta of 10%. What is the corresponding nnnimum spread/ uncertainty in their positions? Va]: ><10“‘a m [1815 X 10”9 m {0]1 >< 10's m [n] 3 x 10-8 m [16] Determine the energy of the photon emitted when the electron in a hydrogen atom nndergoes a transition from the n m 8 level to the n m 6 level. @8.165 eV [3] 0.212 eV [0] 0.356 eV [D] 0.567 eV [13] 13.6 eV [17] How many diilerent set of quantum numbers are possible for the n = 3 shell? [A] 10 [B] 14 @13 [D] 27 {31] 32 [18} Estimate the Kc! (is. due to a transition from the L shell to the K shell) X—ray wavelength for a zirconium atom (Z w 40). [A 3.00 x10’“ rn {3] 3.47 x 10-11 m [(313.60 x 10”” 111 {@7.99 X 10-11 m [s] 5.13 x 10*10 m Physics 102 FORM 0 [19] The nucleus of a particular isotope of beryllium contains 4 protons and 5 neutrons. Which nucleus has a radius that is approximately 3 times that of this isotope? {was {mam [01 as“: 0313 (atom [20} Fermium—253 has a half—life of 3.00 days. A sample of fermium has 1.47 X 108 nuciei. How long will it take for there to be only 6.72 x 106 fermium nuclei in this sample? [A] 9.80 days 13.4 days [C] 15.7 days [D] 27.5 days [E] 58.6 days [21} A11 air—filled parallel—plate capacitor with a plate separation of 2.5 mm has a capacitance of 35 1313‘. (a) What is the area of each of the capacitor’s plates? (b) What is the maximum voltage that can he applied to this capacitor Without causing dielectric hreakéown‘? (The dielectric strength ot air is 3.00 X 106 V/m.) (c) What is the maximum energy which can be stored in this capacitor? (cl) A resistor with resistance 400 1:9 is connected across the capacitor when it is charged to carry the maximum energy as calculated in part (c). How much time (ices it take for the capacitor to lose 50% of its initial charge? KSUA “9AM Cd : (35x10"‘2F)(2.5x10"3m) . (1 K80 (1) 20 (b) V m Esd = (3.00 x106 V/m)(2.5 x10‘3m) m 7500V (c) U a rev? 2 .5.(35 ><10'”r)(7soov)2 =2 980m (‘0- C 3 2 0.0099 m2 (d) Q m Quart” "c m RC =(400iCQ)(35pF)=14;LS 0.5 Q0 :3: Qoemtfldps 111t051m ~t/14ps 1: 9.71m Physics 102 FORM 8 [22] A11 energy of 7.5 J is stored in the (constant) magnetic field within a solenoid. The solenoid has 750 circular turns of radius 4.5 cm, éistributed uniformly altmg its 25-cm length. (a) What is the energy density (energy / volume) inside the solenoid? (b) What is the magnitucie of the magnetic field there? (6) HOW much current is needed in order to create this field? Mae-3:53) N:?~S€3I, r1: Oeérs‘mjf: 091W} Ami-WA, (Lil Mg?» 2, I ..- ‘ U3 U3, Hug M M Mm 2-: 5H .41 (L/jféil)‘ 0-w- WW ""7" Lb) gm}: m, “sic... W I“ Btwawgfivowfi : .. Bwali EDIfiffiNhW/lw‘ Physics 102 F0334? {J [23] Once again, the Borg are at War With the Federation. Somewhere in the neutral zone7 a Borg commander stops his crippied starship to effect repairs. Suddenly, long~range sensors detect a Federation vessel approaching him from his port side at 0.700, and a Klingon Bird— omerey approaching him from his starboard side at 0.656. (Note: port and starboard refer to the left and right sides of the ship when facing toward the front of the vessel.) (3.) At What relative speed will the Federation and Klingon vessels be approaching each other? (10 points) (13) If the Klingon Bird~omerey fires a. phase: blast (it’s light w like a laser) at the Borg ship, at What speed. Will Captain Sula on the Federation starship measure the leading edge of this light weapon approaching him? Do not simply state a postulate! You must do the calculation. (10 points) [A] Let the subscripts B, K, F, and P refer to the Borg, Klingons, Federation ships, and the Phasor weapon respectively. Then VPB 2 +0100, and VKB :2 ~0.650 VFB +VBK V —--—-- >v =—V “0.65;; FK 1+ (VFBMYMBEWZ BK KB CZ __ (+0.700)~i-(+0.65c) _ 135C, _ VFK " (+0.700)(+0.650) “1,455 "" 0'93“ . MW [B] VPF rmzm_ C+VKF.. mMflc MW HM?) 1+(VKF) 0+ng C C C Physics 102 FORM 0 [24-] Consider the fusion reaction: EH "4% H mm} gfle ~E« 03311 + ”y, Where a: is some number, and the (neutrai) atomic masses are: mGI—I) : 2.014102 11, m(§He) : 4.002603 u, m(gn) = 1.008665 u. (e) Find 23. , (b) \Vrite down an algebraic expression for the energy proéuced in this reaction in terms of. mGH), m(§He) and m(én), and calculate the energy produced in this reaction in MeV units. (c) How many kilowatt-hours (kWh) are released when 2.00 grams of deuterium (EH) undergo this reaction? 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WTTm quvBsmH, : WEBB, FmIEBst, TmNIABsmH, p0 m47r><10 T B = M #01112 B m M B = MOI—Ii B AEE I, 27W“: F: E} ZR Z E H ME (long) 27rd ((201%) ’ (solenoid) N (PB 2: BA cos 6, E m m» 2:313, 5 ":2 vBE, 8 m NABw sinwt, w : 27rf m a; AQB {LDNZA AI 5 L -- NM .3 3 ~— w-m— :: -— ~— «w T 2 —— L M 2 , 5 LN, I RF exp( 72m], R L 2 2 s S _ UB 3 ML, “'5 m "'13—: "IE” 3 K E "1:25 P £ IImSK/Imsa Irms 3 “IE—1 Véms m E 2 21% Np p 5 fl 2 fing(E+JX§), Fméfxg, §xfix§ 271' 1 EmEsin Fem—wt kxw, Ech, (2:: m3.00><108m3, A'2 0 ( )? W ‘ / f C 1 : u 2 ~52 *2 2 E3 3 § 1 »-— m 1:; E ":2 ———-- E r. —— f0 2Wfi—5, f f( It C), “’3 um: u 60 #0: E Erms 2 P A A Irrwm U pwg, Pm-Iimmimi, 112%, Igmflcos29 A Ammu’ 'c A Ari-t Physics 102 FORM 0 FORMULAE SHEET H R 1 1 I h- d- c A :6 m W mm mm". 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