physics_test_four - PHYS 202 (Sec. 1) TEST 4 December 1,...

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Unformatted text preview: PHYS 202 (Sec. 1) TEST 4 December 1, 2005 INSTRUCTIONS NOTE: YOU LOSE 5 POINTS IF YOU FAIL TO FOLLOW ANY OF THESE INSTRUCTIONS. 1. Answer this test on the furnished SCANTRON card (or its equivalent) using a #2 pencil. 2. In the blank labeled “NAME” on the SCANTRON card, print your name. 3. Read the directions in the box labeled “IMPORTANT” on the SCANT RON card. Note that you must erase pencil marks completely when changing your entries. 4. Following the instructions in the box labeled “PART 1” on the SCANTRON card, write your nine-digit ID number in the appropriate spaces, starting at the top row. Code your ID by marking through the correct numbers as instructed. The bottom row in the ID box should be left empty. 5. Each question in the attached test has a corresponding row on the SCANTRON labeled by the question numbers “1”, “2”, etc. Mark through the letter on the SCANTRON, card corresponding to your answer for that question. You lose 10 points for each question in which you mark a wrong answer, no answer, or more than one answer. In numerical problems, mark an answer if it is within 10% of your answer. 6. When you are through, double check your marks and erasures! Also, be certain your answers are in the rows corresponding to the question numbers on the test. 7. 'Illrn in only the SCANTRON card. 1 The experiment that verified de Broglie’s hypothesis by exhibiting the wave nature of electrons was EA: Rutherford scattering of alpha particles from gold foil. E B ’ the measurement of the spectrum of blackbody radiation. C:I the photoelectric effect. E'B'3 Davisson and Germer's scattering of electrons from a nickel crystal. '1 E:I Wien’s measurements of the frequency of vibrating electrons in a blackbody. 2 The statement “Every point on a wavefront may be considered as a source of a new spherical wave” is known as E A:I the Rayleigh criterion for resolution. I '2 B:I Rutherford’s hypothesis. E C 3 the Rayleigh-Jeans law. E 3 the principle of dispersion. Huygens’ principle. 3 Which of the following consists of two lenses separated by a distance practically equal to the sum of their focal lengths? b/fl' the astronomical telescope C B 1' the simple magnifier E C 3 the Michelson interferometer '2 D II the optical microscope '1 E 1' Huygens’ double lens interferometer 4 A radio transmitter broadcasts at a frequency of 1.50 X 106 Hz and has a radiated power of 5.00 X 104 W. At what rate are photons emitted by its antenna? /A3 4.97 X 10‘23 photons/second t, teal! 5.03 X 1031 photonslsecond EC:J 6.63 X 10‘27 photons/second |3D:I 3.77 X 1035 photonslsecond E E:I None of the above 5 Radio waves are normally incident on an aluminum plate in which are cut a Eggslits separated by a center-to-center distance of 0.300 m. A receiver is located on the opposite side of the plate very far away. Initially the receiver is located on the normal to the aluminum plate, and it detects a maximum intensity signal. The receiver is then moved gradually away from the normal, and as it moves, the signal it records gradually goes to zero, then gradually reaches another glam intensity, then gradually goes to zero, then gradually reaches another maximum intensity. ,A_L_k this last location, a line from the center of the slits to the receiver makes a 80.0“ angle with the normal to the plate. What is the wavelength of the radio waves? : A: 0.295 m 1 _ 93m/ Lil/I, .148m "FA :. d3”; 6 ii; - 0.0985 m CE: None of the above 2 X : (3)5”! i lb I / 4= 4477 urn has an atomic number of three. What is the energy of the first excited state in doubly ionized lithium? —30.6 eV 2 2’ can—13.6w é? xeéo M I: C:| -6.04 eV . 2 ‘ 2 co: —20.4eV -— (5) (a) I: E 3 None of the above 7 Light of wavelength 570 nm is normally incident on a single slit of width 2000 nm. A diffraction pattern is formed on a screen very far from the slit. A line from the slit to a certain point on the screen makes an angle of 0.900 radian fjh the normal to the slit. What is the ratio of the intensity at that point to the intensity at the central maximum? eel-s 6.77 x 10-3 EB: 5.51 x 10-2 cc: 3.05 x 10-4 ED: 0.223 I: E:I None of the above 8 An atom in a solid vibrates with a frequency of 8.00 X 1012 Hz. If it is in the n = 6 state, with what energy does it vibrate? I3A:J 1.91 X 10‘19 J CBII 8.84 X 10‘22 I C:l 1.47 X 10—22 J \/;B’=| 3.18 )(10‘“20 J I: E 3 None of the above 9 Plane waves of light of wavelength 630 nm are normally incident on a diffraction grating in which the slits are 2000 nm apart. The grating is at the center of a semicircular screen of large radius. The screen is on the opposite side of the grating as the source, so it captures all the light transmitted by the grating; thus, a series of interference fringes is seen on the screen. How many interference maxima will appear on the screen, including the central maximum and all maxima on both sides of the normal of the grating? *3 lIBIIS 7 1:39 '3 E:I None of the above 10 The figure below shows a dispersive glass prism in a spectrometer. A light ray containing red (R) and violet (V) light enters the prism at an angle of incidence of 60.0°.'The index of refraction of the red light in the glass is 1.71, and the index of refraction of the violet light is 1.77. What is the dispersion angle ab between the rays A and B leaving the first surface of the prism, and which ray is the red light? Note: Angles in figure are not necessarily draWn to scale. EA? 2.98°,A is red. l/-EF 1.]4°,Ais red. I2C:J 2.98°,Bis red. CD:1 1.14°,Bisred. '2 E 3 None of the above SCRATCH SHEET Information you may or may not need: gravitational acceleration near earth = 9.80 nuts2 absolute value of electronic charge = 1,60 X 10'19 C rest mass of electron = 9.11 X 10""l kg rest mass of proton = 1.67 X 10427 kg permittivity of vacuum = 8.85 X 10‘12 Elm permeability of vacuum = 4a X 10‘7 T-m/A speed of light in vacuum = 3.00 X 108 mls proportionality constant for Rayleigh criterion for resolution for circular aperture = 1.220 Planck’s constant = 6.63 X 10‘34 3‘5 Stefan-Boltzmann constant: 5.67 X 10‘8 W/(m2K4) first Bohr radius in hydrogen = 5.29 X 10‘” m ground state energy in hydrogen = —13.6 eV 1 curie = 3.7 X 1010 decays/s PHYS 202 (Sec. 2) TEST 4 April 27, 2000 INSTRUCTIONS NOTE: YOU LOSE 5 POINTS IF YOU FAIL TO FOLLOW ANY OF THESE INSTRUCTIONS. l. 2. 3. Answer this test on the furnished SCANTRON card (or its equivalent) using a #2 pencil. [n the blank labeled “NAME” on the SCANTRON card, print your name. Read the directions in the box labeled "IMPORTANT" on the SCANTRON card. Note that you must erase pencil marks completely when changing your entries. ' Following the instructions in the box labeled “PART 1” on the SCANTRON card, write your nine-digit ID number in the appropriate spaces. starting at the top row. Code yourID by marking through the correct numbers as instructed. The bottom row in the ID box should be left empty. . Each question in the attached test has a corresponding row on the SCAN’I'RON labeled by the question numbers "1". “2", etc. Mark through the letter on the SCANTRON card corresponding to your answer for that question. You lose 10 points for each question in which you mark a wrong answer, no answer, or more than one answer. In numerical problems, mark an answer if it is within 10% of your answer. When you are through, double check your marks and erasures! Also, be certain your answers are in the rows corresponding to the question numbers on the test. . Turn in only the SCANTRON card. 1 Light of frequency 7.00 X 10” Hz strikes a metal, ejecting photoelectrons whose maximum kinetic energy is 100 x 10-l9 J, What is the work function of the metal? A CA: 7.64 x 10491 .H q, :3: 2.10 x 10-41 W '0' 1.64 X 10—19] Kc F 5. 7.0155 "19"") :0: 4.29 x 10-341 lZEII None ofthe above 2 Two identical wave sources are vibrating in phase with equal amplitude and frequency. A certain point P is farther from the first source than from the second by a distance equal to 1% wavelengths. Which is true? EA 3 The waves combine at P to produce a disturbance with twice the amplitude of either wave alone. I: B 3 We use the term drfi’racrr‘on to describe the resulting effect at point P. '3 Destructive interference occurs at point P. CD3 Because it travels a distance longer by 1% = 3/2 wavelengths, the first wave has a reduction in frequency by a factor of 213. CE 3 Constructive interference might occur at P, but only if the distance from one source to the other source is an integer multiple of a wavelength. 3 Light of wavelength 570 nm is normally incident on a single slit of width 2000 nm. A diffraction pattern is formed on a screen very far from the slit. A line from the slit to a certain point on the screen makes an angle of 0.900 radian with the normal to the slit. What is the ratio of the intensity at that point to the intensity at the k 1 V ‘ A central maximum? 3;. 5” (g at: '5' , J l. t; us- 6.7? ><1tr3 f i " "thigh-£4 ' ,1. ca: 5.51 x 10-2 cc: 3.05 x 10-4 CD: 0.223 lIE :1 None of the above 4 If the movable mirror in a Michelson interferometer is moved through 0.144 mm, a shift of 600 fringes occurs. What is the Wavelength of the light producing the fringe pattern? A 5, L3 d CA3 2.40 X 10'? m M $0 4.80 X 10-7 m I3C:I 1.20 X 10—7 m CD3 6.00 X lCl'B m CE:I None of the above 5 The angular magnification of any instrument 6 1 5 (1.“ (2) CA3 has~unitsofmeters CB:l has unitsofrneters”. ECD is defined as the near point distance of the instrument divided by the focal length of the instrument. CD :1 is always equal to the ratio of the focal lengths of the lenses used in the instrument. 3-5-3 is defined as the angle‘subtended by the image seen through the instrument divided by the angle subtended by the object seen without the instrument. 6 A spaceship of mass 5.00 X 106 kg is moving at 10% the speed of light, i.e., its speed is 3.00 X 107 m/s. What is the de Broglie wavelength of the spacecraft? D .— h D '— P'U/ CA: 2.26 x 10‘“r m A D "I H EB": 9.94 x 1040 m .3 A :0 cc: 1.40 x 10'14m -43 A: 3“ ‘fipHnm-W III» 4.42 x 10 m p E E 3 None of the above 7 Which of the following consists of two lenses separated by a distance practically equal to the sum of their focal lengths? _ I!!! the astronomical telescope EB: theaimple—magnifier EC: theMieheisen—interfcrometer ED:l the optical microscope CE: Huygenfidoublelensinterferometer 8 Monochromatic violet light. of wavelength 600 nm, illuminates two parallel narrow slits 1500 nm apart. Calcu- late the angular position of the second-order bright fringe as measured from the position of the central (aeroth- order) maximum. A. (.00 a... {L [Sf/WM a; l ,2? EA: 47.2' {m : 6 Eng CB: 11-.5" ammo) IO- 53.1° F___,_ fume IZDII 22.9“ (Mn... 1 CE:I None oftheabove Sio— ( 0-8) '- 55:)“ 9 Electromagnetic waves incident on a single slit of width 4.00 cm form a diffraction pattern at the position of a detector very far away. The detector can rotate through angles on an arm pivoted at the slit. The angle between the central maximum and first minimum in the detected diffraction pattern is 30.0“. What is the wavelength of the waves? 19 ; also a“. fl A: :7 33‘ reg; CA3 4.00 cm '6! 2.00cm '20:1 1.33 cm I=D=J 1.00cm CED None of the above 10 A person has a near point distance of 25.0 cm. What focal length lens should he use to make a simple magnifier of angular magnification 7.00 for images viewed at infinity? m f 5%, CA3 0.28 cm C B 3 175 cm I2C =1 32.0 cm C D: 18.0 cm HIE! None of the above SCRATCH SHEET Information you may or may 1' t need: gravitational acceleration near 6 th = 9.80 m/s2 magnitude of electronic charge [.60 X 10‘[9 C mass ofelectron = 9.II X 10'“ (3 mass of proton = 1.67 X [0‘27 T permittivity of vacuum = 8.85 - 10‘12 Flm permeability of vacuum = 417 :r- 10‘? T-m/A speed of light in vacuum = 3.0"- X 108 m/s ' Planck's constant = 6.63 X 10 ’4 1-5 m K'- 513 s u'r‘fié? M x: 5:- m9 [3; K: 5w. mhf ; R . is} a Spr‘fi l 5-, "3: Az‘i -- r e P a /If the dc Bmglie wavelength of an object is 2.00 m. what is the momentum of the object? 3 :A: 3.02 x 103 kgm/s A: h, 1 33/ - :8: 1.33 X 10'33 kg-mls 6 - 8 / :63 1.50 x10. kg-mls Qua-{:1 j: A: 1%. ea: 3.32x 10-31:;sz l-Yxm“ , h— : Noneot‘theabov lTPM- “aegis? 1‘5 - P S 2‘ 2 The concept that the atom contains a highly concentrated nucleus of positive charge was E8th to = a U3 mfg-m explain what experiment? - 3w;--~- :Aa biaekbody radiation ll ’5 34x53", :3: the. lectricefi'ect: ’ CO: Rutherford's a-particle scatten’ng experiment EDI! the Davisson-Germer experiment t: E :1 Wien's displacement experiment dim-action ttern" the pa m )l '- LTS‘W 9 CA3 0538' ) CB: 3.“). (\I {CONN} 1(l§—°°nm ) 5m 9 cc: 30.0“ _, goo M fl \ 0 SI“ ( “ Q 7‘53: 9-59 - r \goovxn . C___§EfitFnEbt‘meabqia “W7 = 9 CE: Noneoftheabove _v 5 Which is Rayleigh’s criterion for resolution? ' -- " soureesarebarelyresolvedassepamteiffliecmualmaxhnumofmedifiracfimtpauunofonefafls on mefirst-orderminimumof thedifiracn'on pattern of theother. CB: Iftwowaves oombmesuchthatthecrestofonefallsonthetroughoftheothemheresultisdestructive cc: Theangleofresotutimofacircularapertureis 1.22 dividedbyfltediameteroftheapermte. CD: The intensity of each secondary maximum in a single slit dim-action pattern is always less than that ofthe central maximum. CE: The width of the central maximm of a single slit diffraction pattern is inversely proportional to the slit width. mA aqem‘nQ 6 The angle bemoan the central maximum and the second-0rd r maximum of a W pattern is 10.0“. What is thedistanoe betweenthetwo slits ifthe 'ght fuming thepattem hasa wavelength of500 nm? CA3 7981111: 2 (“3‘99 “\W-x Ea. anulfimlmr) ) cc: 266nm d ._ =03 872nm CE: None oftheabove 7 Aspectroscopecanuseaglasspaismtoseparatelightoutinmitsoolots.'I‘hisworksbecause 553 die ptism pmduees-dlflfictim of light. :33 ghsshasagteammguhxmsommairfotmesamfightsoum CO: the speedrofiightin glass is greater titan it is in air. ED: thepgismgrodu'ceeinterference of light. fl_ @maxcs of different mvemngmsnmmt 8 Apendulumoscillatesatafiequatcyot‘ZflOl-Izwithenagy3.001.Aoo0tdingtothePlanckhypofltesis,what is its vibrational quantum number? ca: 9.05 x to33 PC” ca: 1.01 x to33 - ~ »- 2.10st : * t-ecs‘z'zax 1032‘ CD: 251 x 10*32 EE3 Noneof the above mm, m ((D.L¢3xw‘14)(3\-OOHL) ' 1 lat, e!" ‘ m 9 Light in air is normally incident on a gauging thin {ilgof oil (index of refraction LAD) which is floating on water (index of refraction of 1.33). When the “flew the oil is vanishingly small. none of the light is reflected upward. As the thickness of the oil film slowly grows, the Wright a maximum in brightness. At that point, the oil film stops thickness of the oil film ? EB: 200nm .Ifthewavelengthofthelightin then ask. ml"! 5|- 3 l m «.t— 1.,1 ’11; AD\.‘\ 1—0 :5:- Noneofthe above 10 WhatistheenetgyofeachphotonemittedbyalaserifitslighthasafiequmcyofSflOX lO"Hz?_ CA: 3.98 X 10“”! $199,119? 1 "Ec: 3.32 x1071?!) CD: 7.15 x 10" I EEJ None ofthe above 98/ El“ " a 91% v {3‘61 v-‘i'wr‘; 0° We”! '42} 11.!(“6' ] it is 400nm, what is the final aucm (“($29 emu?" Anti ‘409vxm 916$) 900nm “\ SCRATCH ST Information you may or my not need: gravitational acceleration near earth = 9.80 mls2 magnitude of electronic charge = 1.60 x 10‘” C 1 electmn volt = 1.60 x 10-19 .l mass ofelectron = 9.11 X 10'31kg mass ofpmton= 1.67 X 10‘“ kg pamitfivity of vacuum: 8.85 x 10‘‘2 Flu! permeability of vacuum = 4n x 10"? T-mIA speed offight in vacuum: 3.00 x10“ mls Planck's constant = 6.63 X 10"“ Its Stefan-Boltzmann constant = 5.67 x 10'H mezK‘) First Bohr radius in hydrogen a 5.29 X 10‘“ m Gmund state energy in hydmgen = —13.6 eV FIE-Pei! J TEST Zf£"> Z 1 When light of a single wavelength is incident on a single slit, and a screen is on the opposite side, a pattern is famed with a large central bzight fringe and alternate daxk and bright fringes on each side. This phenomenon is called lion. - CB 3 resolution. = C =1 refraction. ED: I: E =1 mggfacfion. 2 According to the de Bmglie hypothesis, the wave that guides a particle has a wavelength that is CA3 dimflypmporfionnlmthekineficenergyoftheporfiele. J“, W proportional to the momenmm of the patiele. J 503 dhectlyptoporfionalmthemoemimyinmemomenmaffllepatficle. I=D=| inverselypmporfionalmmelmemintyinposifionofmeparfide ‘- verselypmportionalm themomentumof the particle. 3 Whoexplainedhlackhody radiation by hypothesizing that theenesgy of vibrating atomscannotvmycontinuously fi-omzerotohzflnllyhat, lnsteaiisquantized? EA: Rutherfozd 4 Acufiinmtetonthemoonsuhsendsanangleofflflox 10‘413dwhenviewedwithfl1emkedeye. Ifitisobsmed through a telescoge with an angular magnification of 200, what angle will the image subtend? fi/ CA: 4.00X10'5rad } a}; w r -’h _.../ '1‘. 29" Cc: 2.50X 105M . M r @3; e};va is; l. as", :0: 320m 9 7 06* I'-'E=I Noneofthe above '5 Whatistheenagyoftheelecuoninfllehydlngenammiffiisjntheu=3state? ’ CA3 «1096? 1/ CB3 "8706‘? E: #5“ we": CC: --5.60eV A CD21 -1 p j - ' E:1 Noneoftheabo '/ 7“ T ‘ _?' / X X 6' The mesecand-ardermaximum ofadoubleslitinmfemncepamis 70.0‘. Whatis the distance between the who slitsifthefightfouning thepapernhas a wevelenglh OfSOO um? WI? CA3 798nm J ' 5w" _ 77,,- . A 2 Fr p EB: 10600.01 5M('/a t< I. f/n'fi) * a; Mr.- ‘cz' 255” ' 1 k1... $919 =D=s12mn [2 70" (n9;3,fl_l— .35-0;:7¢ _ "" Id“ uneartheng ' r 2 i if 7 Light of frequency 7.00 X 1014 Hz suikes a metal, ejecting phomelecmns whose maximum kinetic enemy is - 7? 3.00 X 10‘" I. Whatis the work filmfionofthemetal‘? =A=_a 7.64‘x 10*“: ‘ i can mama—‘3r Er‘fln' <§§E§EE§£> ‘ =0: 429x 104‘: can Nmoftheabove )3“, = H ~¢> [kc-n; " [Fri " ¢ 354?: 8 Annie boy with near point dismee of 25.0 cm wants to look at a 0.300-mn-Iong bug with a simple magnifier. He places thebugjustinsideflzefocalpointofaconvetging lens offocalrlengdltmfl cm. WhatangledOestheimage ofthebngmbtendassean flztoughthelens, assumingthathnageisinfinitelyfagaway? CA3 9.00x10“nd =33 0.0 I d =03 1.88m! /‘_"\ K. «in... onecftha ..._ - 9 The decay constant of a certainradioactivemmleus 30.300 3“. If4.0!_) x 10‘ undecayed nuclei axepresent at time . ,yremainatfimetziofls? . ~>¢ M05):- /yoe -. :--)«$" 015.6- I/ =53 2.40X 105 cc: 1.4mm“ m '25:! Nonegftheabove 1 o- Ifthe likable aim in a Michelson ihterferometa is moved through 0.144 mm; ' Whatis thewaveleugth ofthefightpmducingmefiingepattem? CA3 x 10""r m =3: 4.30x 10" m ccn' 1.20 x 10-1 m c D: 6.00 x 10-3 m /" 13—51% M- a shift of 600 hinges occurs. ...
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This note was uploaded on 03/01/2012 for the course PHYS 202 taught by Professor Johnmeriweather during the Spring '09 term at University of Louisiana at Lafayette.

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physics_test_four - PHYS 202 (Sec. 1) TEST 4 December 1,...

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