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t31 Phy 102 2010

t31 Phy 102 2010 - Physics 102 FORM 0[1 An optic fiber is...

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Unformatted text preview: Physics 102 FORM 0 [1] An optic fiber is made of clear plastic with index of refraction of 1.50. For what angle of incidence will light remain within the plastic “guide”? ‘ [A] > 211° [B] > 234° [C] > 383° [D] > 4.0.3" [E] > 4.1.8" [2] A convex lens forms a real, enlarged image. If the object distance is 1.0 meters and the image distance is 1.5 meters, what is the focal length and the magnification? [A] M060 meters, -—1.5 [B] ~—0.60 meters, 1.5 [C] 0.60 meters, “1.5 [D] 0.60 meters, 1.5 [E] none of these [3] A person can read a newspaper comfortably by keeping it at a distance of 75.0 cm from his eyes. What is the focal length of the contact lenses that he needs to use in order to read the newspaper at a normal near point of 25.0 cm? [A] --18.8 cm [B] 18.8 cm [C] 27.5 cm [D] ~—37.5 cm @376 cm [4] A person has a far point that is 35 cm from her eye. What diopter lens will correct this person’s vision so that she can focus on distant objects? Assume the lens is placed 2 cm in front of her eye. [A] _0.02 [3] W033 [C] 0.33 [D]——3.U [E] 3.0 [5] A satellite is in orbit at a distance of 1.0 X 106 In above the ground. It carries a telescope that can resolve the two rails of a railroad track that are 1.4 m apart using light of wavelength 600 nm. Which one of the following statements best describes the diameter of the lens in the telescope? [A] It is less than 0.26 m. B] It is greater than 0.26 m. [C] it is less than 0.52 m. @115 is greater than 0.52 m. [E] It is less than 1.4 m. [6] A spaceship, traveling at 0.100c away from a stationary enemy station, shoots a projectile towards the station with a speed of 0.5600 relative to the spaceship. What is the speed of the projectile reltive to the station? 000.400.: .0487c [C]0.492c [D]0.625c [E] 0.660c [7] Which one of the following is true for the surface temperature of a bluish—white star in a .u stellation as compared to the red star in the same constellation? @lt is greater. [B] It is less. [C] It is the same. I Their colors are irrelevant [E] None of the other answers is correct. [8] Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.7 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? [A] 0.0? x 10-19 .‘E .049 x 10—19 J [o] 1.04 x 10—19 J [D] 3.20 x 10—19 J [E] 6.41 X 10‘19 3 ?hysics 102 FORM 0 [9] A certain photon, after being scattered from a free electron at rest, moves at an angie of 120° with respect to the incident direction. If the wavelength of the incident photon is 0.627 nm, What is the wavelength of the scattered photon? [A] 0 nm [B] 0.627 nm @ 0.631 mm [D] 0.635 nm [E] 0.639 nm [10} Protons are being accelerated in a particle accelerator (assume that relativistic effects are negligible). When the kinetic energy of the protons is doubled, their de Broglie wavelength will - . decrease by a factor of fl. [B] increase by a factor of x/i. decrease by a factor of 2. [13] increase by a factor of 2. [E] increase by a factor of 4. Physics 102 FORM 0 [11] Two glass plates (in air) are separated by parafiel fine Wires, separated by a distance of 10 0 cm, as shown. The first Wire, at m — —,0 has a diameter all“ m 0.0300 mm, and the second Wire, at w m 10. 0 cm, has a diameter :12"— m 0 0320 mm Monochromatic Eight oi wavetength A— W 560 nrn is incident from above. (a) Consider interference hetWeen Eight reflected from the bottom surface of the upper plate and light reflected from the top surface of the lower plate, and find an expression for the values of. the separation t between these surfaces for which the interference is destructive. (b) Find an expression for the values of :c for which the interference is destructive. (c) What is the horizontai distance (thus along the sc—axis) between adjacent dark bands in the reflected light? 0.00 10.0 MA as $601M “‘. . . 1819M m; "r: 3,11,91,56 “pm/.142! ultra-$2105 ~>f 1. ,3 J 2:“ b :2, \' 15M W . ' I: ' ~ ‘ “ “P inking freehand (to X=7 )? KW) moi, ”I I) 2:ij 3.5:. :2) >5:)< (rival; ) tlx ‘Xmgr’ of: 0! Wk W ‘-”‘Ct/1 I l __ Maw“) : WWW), (Baa-etaow 24W? X «a: [wt M th‘o)om. (C) (3%!th [DA/:12 Ax: nwm an t: Mom. Physics 102 FORM 0 [12] An object with a rest mass mm : 80.0 kg and a velocity “51 m 0.600ca“: and another object with a rest mass mm 2 120.0 kg and a. velocity {3’2 2 w0.800c§3 are travelling toward each other in deep space. The two objects collide and stick to each other. (a) Find the total relativistic energy of the system (of the two objects) in fig-«:2 units. (b) Find the total relativistic momentum vector of the system in kg-c units. (0) What is the rest mass, in kg units, of the combined object after the collision? (Hint: assume the conservation of the total energy and momentum in the collision, and then either use the formula E2 2: E3 «1— 33262 for the energy and momentum of the combined object, or find its velocity through the ratio between its momentum and total energy.) ta) Ed ”’3 [TC ”2 €f+£L 3'1 1 _ Z ' ,0; mail . mucl 30,0 ta ‘1 ‘ WW0 ~ m . W W". 1... *W ”W +'W’ 1 2 “"3050 Home) ,. q 2 2- I“ [x 0,31» v+ 0.500 Loan :(mflmghac 3: 390040 .62.“ «=37 M)-+f: amt”m.+ Maul/l ~(X0,0woittohMo)j<fi£§ ‘" Via-ohm \ i ”0.31th "" ' s i . Ii n i 2- p: “(WNW 730E01~Di300)t3r£x :2: (when 190))?“ amigo-{o tic-it, -- kVZ 1“... Mr %'\I too -— to: ._ £85k: Wm: {gs/W “‘ML; P fie wt 5%: {”hzfi/szflfimg trig/two a: -- C c [J m: I CZ m Physics 102 FORM 0 FORMULAE SHEET 6 = 1.66 X 16"”0, me = 9.11 x 10""31169 .,,_,_ 0.511MeV/c3, i6 2 8.99 X 1091\16662/02 1 16V m 1.60 X 16""19J, IkWh : 3.6 x IOSJ, 69 m m = 8.85 x 10"”02/Nm2 71' V 2 2%., WE m qud m ~quV, WM : AK+ AU, AV 3 mEAs, V m 11:2 9’0 NA 2 (EB :2 BACOSG, 8 z: —— AfB" E z UBE, 5 = NABw sinwt, w : 26f __~—_ 3: E E sin (I62: 6) 1:: 2w E B c 1 3 00 X 108m/ Af c z m w , m --——-—-3 = C 3 m m , '5! m U A x/émuu ‘ 1 r u 2 B2 *2 2 E3 m g 1 —), m , m Emm, Ea—Emmw f0 fox/E‘O‘v f f( :t C “’15 “E u 69 I14} 5 2 P AU U F Ap I I9 2 2—mw——m wm w—mv—w—m— Im— I: 6 I A AAt w’ P c’ P A Aim 6’ 1 2’ 2 [1605 R 1 1 1 h‘ dz C Avac r362, W "— "m "—3—”, Elfin—”a 2—— 'nm 6 ’ f i’ do+di f m ho do ” n’ A n . . . n2 n2 1 1 1 1 6 2 9 63 : ""' t 6 E “W“, -— x W —-—-- p z — 761 6111 1 762 51x1 2, 5111 711’ an E 71.1 f f1 -§~ f2, f dsinfl mmk, mw 0,1,2..., dsingm (m+1/2))\, m: 0,1,2..., (double slit, grating, bright) (doubie Siit, dark) WsinflmmA, mml,2..., 6m1n%1.22%, y , 6 '— m 51 % (single slit, dark) (resolution) 11 mbéxififla (m+%)%‘fwt, ”mm-1,2... «thin film, 2:362: 2: 61:22:: 2:35”) (6666) Ate "vat; +066 _. mm? 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