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t41 Phy 102 2010

t41 Phy 102 2010 - Physics 102 FORM 0[1 Two charges Q1...

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Unformatted text preview: Physics 102 FORM 0 [1] Two charges, Q1 and (2;, are separated by a certain distance R. If the magnitudes of the charges are doubled, and their separation is also doubled, then what happens to the electrical force between these charges? [Al It decreases by a factor of 4 [B] It is halved @It remains the same [D] It is doubled [E] It is quadrupled [2] A metal sphere of radius 2.0 cm carries a charge of 3.0 ,uC. What is the electric field 6.0 cm from the center of the sphere? [A142 x 106 N/O [1315.7 X106 N/o [016.4 X 106 we @m x 105 N/C [E193 X 106 N/C [3] A light bulb operating at a voltage of 128 Volt has a power of 60 W. What is the current i-wmg through this bulb? @05 A [B] 1 A {o} 1.5 A in] 2 A [a] 2.5 A [it] A 5.0 a]? capacitor is connected in series with a 3.0 kg resistor across a 28.03/~ DC source and an open switch. If the switch is closed at t fl {3.0 s, what is the charge on the capacitor at t r: 12 me? [A U C [B] 37% of the maximum charge [C] 45% of the maximum charge D], 55% of the maximum charge [E] 67% of the maximum charge [5] Suppose we have a long narrow solenoid and wish to increase its inductance. That can be accomplished by [A] increasing the current [B] decreasing the current 0 decreasing the number of turns [D] decreasing the cross-sectional area @decreasing the length [6] An AC source deiivers an average power of 600 watts. If the rms current in the primary of a transiormer, which has 60 turns, is 3.0 A, what must be the number of turns in the secondary if it has to deliver (idealiy) an rms voltage of 50 volts to the secondary of the transformer? [A110 .15 [0130 [M120 [511240 [7] Today it is possible to directly measure the frequencies of electromagnetic oscillations up t} about 500 MHZ. That corresponds to a waveiength of ‘06 rn [B] 0.6 cm [C] 6 In [D] 6 cm [E] none of these [8] If you separately measure Ems and BrmS of an electromagnetic wave, how can these two quantities be combined to form a quantity that is proportional to the average intensity? lAl Erms/Brms lBl l-Erms + Brmsl [Cl (ErmsBrms)1/2 .ErmsBi-ms [El (Erms-Brms)2 Physics 102 FORM 0 [9] A beam of light that is parallel to the principal axis is incident on a convex mirror. What happens to the reflected beam of light? [A] It also is parallel to the principal axis. [B It is perpendicular to the principal axis. C 'It appears to be coming from the focal point on the other side of the mirror. D] It appears to be coming from the center of curvature of the mirror. [E] It appears to be coming from a point between the focal point and the center of curvature of the mirror. [10] A helium—neon laser (A = 633 nm) illuminates a pair of slits with a. separation of 4.0 >< 10—5 In. What is tfingle to the third dark fringe above the central bright fringe? [A]0.9° [B]1.4° 2.3“ [D]2.8° [E] 0.5° {11] In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of Width 16.0 pm. If the second dark fringe of the resulting diffraction pattern is at an angle of 4.31", What is the wavelength of the light? [A] 481 nm .601 nm [0] 802 nm [E] 1200 nm [E] 2400 11m [12] An astronaut is traveling at 0.75c. His ship’s chronometer indicates that he is 5.0 hours into the mission. Ho much time has passed at Kennedy Space Center? [A] 3.31 hours ‘3] 7.56 hours [C] 10 hours [D] 13 hours U13] 15 hours [13] The kinetic energy of a particle is equal to twice its rest energy. What is the particle’s veiocity? [A](1/9)1/2c [B](1/3)1/2c [C] (1/2)1/2c [D](3/é)1/2c @(8/9jl/2c [14] What is the surface temperature of a star, 'Ven that its radiation eak occurs at a $1 P frequency of 1.06 X 1015 Hz? [A] 0,200 K [B] 8,?00 K [0] 10,400 K [13] 14,000 K @ 18,000 K [15] A large collection of non—relativistic electrons has a mean kinetic energy of 1.0 eV with a corresponding spread/ uncertainty in their momenta of 10%. What is the corresponding minimum spread/uncertainty in their positions? 31 >4: 10"”9 m [13] 5 X 10~9 m [o] 1 X10“8 m [D] 3 x 10—8 m 2 X 10"”? m [16] In a hydrogen atom, the electron makes a transition from the n m 8 to the n m 3 state. What is the wavelengt of the emitted photon? [A] 3.1 x 10*“7 m [B] 9.5 >< 10—? m [C] 1.1 >< 10—6 m [n] 3.3 ><10r6 m {131] 4.5 X 10"”6 1’11 Physics 102 FORM 0 [17] If a hydro en atom ori inally in a state with rincipai quantum number n is excited to g g P state 71' 2 2n, then [Al its radius and binding energy will double. EB] its radius will quadruple and the binding energy Will double. [C its radius will double and the binding energy Will quadruple. m its radius will quadruyie and the binding energy will be reduced by a factor of four. E] its radius and binding energy will quadruple. [18] Which one of the following is the correct ground state electronic configuration of the magnesium atom (Z n 12)? [A] 13223221)? [B] 1522322136 @1522522395332 [D] 1.6223221963323132 [E] 1.9223223963523396 [19] What is the approximate minimum kinetic energy an incoming electron must have to knock a K shell electron out of an atom of molybdenum (Z 2 42)? Hint: this is NOT the same as the transition energy between the n 2 2 and n :z 1 shells! [A] 4.4 keV [B] 10 keV [O] 12 keV {D} 18 keV @23 keV {20] Carbonwltl has a half—life of 5730 years. A sample of wood has been recovered by an archaeologist. The sample is sent to a laboratory, Where it is determined that the activity of the sample is 0.157 Bq/g. By comparing this activity with the activity of living organic matter, 0.230 Bq/g, the scientist determines how old the wood sample is, or more precisely, when the tree that the sample came from died. How old is the sample of wood? @3160 years [B] 3870 years [0] 4250 years [D] 4590 years [E] 5730 years Physics 102 FORM 0 [21} A parailel plate capacitor has circular plates, each of radius 8 50 cm, and a gap between the plates that is 2. 00 mm thick and filled with air. The capacitor is charged by a battery to 455 V and then 15 disconnected from the battery. (a) Find the capacitance of the capacitor (1)) HOW much energy is stored 111 the capacitor? (c ) The separation between the plates of the charged capacitor IS then inczeased to 4. 00 mm; how much energy is storeci m it now? (d) How much work is required to increase the separation of. the piaies from 2.00 mm to 400133111? “—3. . rmm 3W0 m, \éqsm «=1 2. «a (a) C“- _ Z Atnrz (11.009414) “j: ‘ my”; 3 “(e W M33117 (mom _. .. C 1—,. M 8332”” “MW W3 Lb) um? w .3 1334 1004446? 4S3?” “ «3,. -0343 MS“ bf}: «2 .2, 3 “1,534 a J (r v.3, .._ (c) off-:43: 413033331} (1,132 (©2259,? __ Q)” .... we Ca 7L2: 71¢ C1 U Q: W:- ugm =- run-W w :- W- {0‘3} Physics 102 FORM 0 [22] The figure shows two parallel Wires. Wire 1 carries a current I; m 6.0 A, flowing to the right. Wire 2 fies at distance 3 m 19 cm below Wire 1, and pointA lies at distance cl = 11 cm below Wire 2. The current I3 in Wire 2 is adjusted so that the net magnetic field at point A is zero. (a) Does the current I2 flow to the right or to the heft? (b) Express I; in terms of the problem parameters, and caiculate its numerical value. (c) An electron at point A has a veiocity of v m 4.1 X 104‘ m/s parallel to Wire 2 and to the right. What is the magnitude and clirection of the force on this electron? . I1 éem , m, We” Wirel was Physics 102 FORM 0 [23] Two lenses that are 57 cm apart are useci to form an image? as showii. Lens 1 (on the left) is converging and has a focal length of +15 em. Lens 2 (on the right) is diverging anti has a foeai length of ~61) cm. The object is placed 19 cm to the ieft of lens 1. The two lenses have the same optical axis. Find (a) the location of the first image (due to lens 1), (b) the iocation of the final image (due to iens 2), (c) the magnification of the final image reiative to the (initial) object. (d) Is the final image real or virtual? Is it upright or inverted With respect to the (initial) object? Mm- gm} fiewgw, A»: «650w: , (4’05: few. (at) 0M: “ it '2 3- ‘...— il- -:.-. do; f4 Dim t e {H i mmmu—I‘Mw}: 1 ‘ biak 7% J02, 61.00% Miser.) (Ila—"3 ~— IOj-A 01M! («v m, 5509”)” -( uni—.- “’- _ «I- e) WE . W . sze(*%§tll‘iifilz( telvflw Physics 182 [24] Consider the following fission reaction: in +233 U e233 U“ -->1§2Xe +3: Sr + U)- (a) Determine the missing particle(s). (b) Given the following values of atomic masses, determine the energy released (in MeV) for the above reaction: 721(3511) 2 1.008665%; mGSSU) : 235.043925u; m(1§2Xe) m 139.921647u; m(§§8r) M [email protected] 93.915361u; mfip) m 1.007267u; mfilile) ":2 4.002603u; Tami) m 5.49 X 10‘4u. (c) A typical American household uses about 2000 kWh per month (1 kWh m 3.6 X 106 3 m 2.25 x 1019 MeV). Determine the mass (in kg) of {Immune-235 necessary to meet the 5 monthly usage of such a. household. (a) i-Jr’LKS— ___. 2:39 :— l-Ura‘tclki + A $ A :3 :2— oHl 2‘11 :s’» «Magi—2: my? '30 [51 (JD) Enéfsb ‘C’iml ~— Ené‘fss initial 3(13‘L‘l2léflu + Olslfitseem + 235' msfifiw we ° @ w #2000 :51ij \C) l Me 2000 x memo“ Med Physics 102 FORM 0 FORMULAE SHEET I e z 1.60 x 10‘390, me x 9.11 X 10"“31199 :. 0.511MeV/c3, k = 8.99 >< 109Nm2/C‘2 16V 3 1.60 x 10“”191, IkWh a: 3.6 x 10W, 60 z 2%; m 8.85 x 10“”(3’2/Nm2 ~ 131(11qu -* 13 lg! 29 0‘ 0' Q x -— “— --— m A x W m ——- : ,._._ : ...._.._. 1F! T2 ,3 9,!E’I— Ia;— <15 )2ij A (ME 263% EU A56 is V 2 Egg, W3 2 qud = w—ggAV, WM 2 AK + AU, AV 3 ”Elks, V 2 mg 0 'f' __ Q N V0 M neoA __ QV _ 0V2 Q2 _ 60132 _ Ag GWV’ V"n’ " d’ 05"" 2 2 ”20’ ”E“ 2 ’ IMAt V pL W3 2 V2 1 1 1 _._.= 2W. Pgmmn/zf 2w— Ram}: ,wmw ._ I R A’ t R 12’ 1+3” R? R1+R2+ 2:11pm“ :82er women i—i+~3-+ 3 7 P 3 OS 01 02 T = Re, q n can — epo/Tn, I—~ gm W q = Qexpkt/T), I =3- mvz Tm quvBsing, R : lqlvB, FmIEBsiné, TmNIABSinG, p0 :zéwx 10“"?W A B = M “01:12 _ ”#01 B 2 [1,0ny B Afr I 21'1”?“ F5 g 21-1 2 Z N M0 2 ’ (long) ’ 27rd ’ (coil) ’ (solenoid) CIJBZBACOSQ, 53—NifB, EmvBE, SmNABwsinwt, wz27rfz—2; _ A<I>B M psoNzA __ AI __ 8 _ L LMNAI —— E , 8%» L1”, I—R[1 eXp( #7)], TWR LI?‘ B2 Ns Vs IP —- I0 V0 :.__ 2"”— Wzflmm P: rmsVrms: 1:105:52“ :M U13 2 , uB 2%, Np p Is, I My Vm \/_ E E s 110:: wt) k 27? E CB c 1 3 00 X lUSm/s Af c 1 $ — : w, 2 1 Z '2 3 ~— 0 A w/EGF'O .M. 1 ’ :2 'u. _ m, 2 ___ 32 ““2 W. 2 _ E3 f9_2wm, fmf(1:tc), uBMuE, u_eDE_m, E =Erms— 2 P AU U F A19 I I0 2 :Wz—“rr :-—— ::——-2-———~mmv—— mm : 6 I A AAt cu, p c’ P A A t c’ I1 , I; I1 cos Physics 102 FORM 0 FORMUEAE SHEET fl R 1 1 1 hi CL; C: Ame 1,397: m w»- ~——~w~-—:——a E—«z—m 2—— A: 6 ’ f 532’ do 1 d5 f m a, do’ ” n’ n . . . n; 71.2 1 1 1 1 m 3 Ba x w— 1: 9 = -, m = ~~~~ —- D — n1 $11161 712 5111 2, 5111 221’ an E n1 f f1 4— f2, f dsingwmA, m=U,1,2..., dsin9=(m+l/2)A, m20,1,2..., (doubie slit, grating, bright) (double slit, dark) WainfimmA, mm1,2..., 6m53m122g, y , . . . "- H 81116 W 9 (smgle 511’s, ciark) (resolution) L ”IA—5'33! (”1+5 1)L"2V;°”i m=0,1,2... (thin film. 2:22:22 2: 2:22:22) (2222‘) (222...) Ate ”ab +1550 —+ moi, m; [Maw—W L2L\/1m9262,vmn—~——wm m—mwm—Emvv «Ml—ruz/cz’ O / 1+vab'vbc/Cz’ p 2/1w02/02 () 2 Eowmoc, EWW, KWEWED, E mE0+pc, R— C2 ~32 #15 3V ”m h 44. thfiQSXIU JET—4.135X10 6V3m1240 , 5:5;31054X10 J3 c APT 2: 2.898 x10”3m-K, lug—1P- : 5.88 x 101034124, Kmx m hf .... W0, E m hf h 1:1]: hfmhfr+K, A‘mAzAgU—cosfi), AC: 22.425392“, AdBflE :9 p m “c“ M A’ mec Kwfii 2d 6 mA A A3 >E AEA2>E T—27315KwT—-§(T 32°) ‘2m’ 51““ Pm 3’2 "22’ ‘ "0"”9 1“ n75, n2 722 22 1262 Tn I mevn = (Lg—2", do = 71291362 I‘— 00529 nm, En 3 “Egg, E0 m E11; w- ".13 6 6V 1 {AEI 2 1 1 E0 7 1 2 1 1 —— = m —-—-w-- E _ K05: w E R — m——) A ha 122' (n,2 112), R hc -1.097><10m A (Z 1) (12 22 n:1,2,3,...; £=O,1,...,n~w1; mg:0,i1,...,i£?; msmi—zl- ng, A z z + N, r m r9241”, 7'9 2 1.2 fm AE a: Amcz, 1 u 2 1.6605 X 104% : 931.5 MeV/cz, NA 2 6.022 x 102311101”1 AN 1112 1 R0 . m ——- _. —A m m _ 2... fl _ 10 R At —}\N, N: No exp(— 13), A— T2 15:: A111 R: 1 02 3 70 X 10 Bq ...
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