This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ninedigit 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 RayleighJeans 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 centertocenter
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? eels 6.77 x 103
EB: 5.51 x 102
cc: 3.05 x 104
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 Tm/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
StefanBoltzmann 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 ninedigit 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 10l9 J, What is the work function of the metal? A CA: 7.64 x 10491 .H q, :3: 2.10 x 1041 W '0' 1.64 X 10—19] Kc F 5. 7.0155 "19"")
:0: 4.29 x 10341 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 102 cc: 3.05 x 104 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 107 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. 353 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“ ‘ﬁpHnmW
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 secondorder 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— ( 08) ' 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‘? Tm/A
speed of light in vacuum = 3.0" X 108 m/s '
Planck's constant = 6.63 X 10 ’4 15 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 kgmls 6  8
/
:63 1.50 x10. kgmls Qua{:1 j:
A: 1%. ea: 3.32x 1031:;sz lYxm“ ,
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 mfgm explain what experiment?
 3w;~ :Aa biaekbody radiation ll ’5 34x53", :3: the. lectriceﬁ'ect:
’ CO: Rutherford's aparticle scatten’ng experiment EDI! the DavissonGermer experiment
t: E :1 Wien's displacement experiment dimaction 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: 959  r \goovxn .
C___§EﬁtFnEbt‘meabqia “W7 = 9 CE: Noneoftheabove _v 5 Which is Rayleigh’s criterion for resolution? ' 
" soureesarebarelyresolvedassepamteifﬂiecmualmaxhnumofmediﬁracﬁmtpauunofonefaﬂs
on meﬁrstorderminimumof thediﬁracn'on pattern of theother. CB: Iftwowaves oombmesuchthatthecrestofonefallsonthetroughoftheothemheresultisdestructive cc: Theangleofresotutimofacircularapertureis 1.22 dividedbyﬂtediameteroftheapermte.
CD: The intensity of each secondary maximum in a single slit dimaction 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 second0rd 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 “\Wx
Ea. anulﬁmlmr) )
cc: 266nm d ._
=03 872nm CE: None oftheabove 7 Aspectroscopecanuseaglasspaismtoseparatelightoutinmitsoolots.'I‘hisworksbecause 553 die ptism pmdueesdlﬂﬁctim 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‘ZﬂOlIzwithenagy3.001.Aoo0tdingtothePlanckhypoﬂtesis,what is its vibrational quantum number?
ca: 9.05 x to33 PC”
ca: 1.01 x to33
 ~ » 2.10st : * tecs‘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 1019 .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"? TmIA
speed ofﬁght in vacuum: 3.00 x10“ mls
Planck's constant = 6.63 X 10"“ Its
StefanBoltzmann 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 FIEPei! 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 ﬁomzerotohzﬂnllyhat, 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 mesecandardermaximum 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... $919
=D=s12mn [2 70" (n9;3,ﬂ_l— .350;:7¢
_ "" Id“ uneartheng ' r 2 i if 7 Light of frequency 7.00 X 1014 Hz suikes a metal, ejecting phomelecmns whose maximum kinetic enemy is  7? 3.00 X 10‘" I. Whatis the work ﬁlmﬁonofthemetal‘?
=A=_a 7.64‘x 10*“: ‘ i
can mama—‘3r Er‘fln'
<§§E§EE§£> ‘
=0: 429x 104‘:
can Nmoftheabove )3“, = H ~¢>
[kcn; " [Fri " ¢ 354?:
8 Annie boy with near point dismee of 25.0 cm wants to look at a 0.300mnIong bug with a simple magniﬁer. He places thebugjustinsideﬂzefocalpointofaconvetging lens offocalrlengdltmﬂ cm. WhatangledOestheimage
ofthebngmbtendassean ﬂztoughthelens, assumingthathnageisinﬁnitelyfagaway? CA3 9.00x10“nd
=33 0.0 I d =03 1.88m! /‘_"\ K. «in...
onecftha ..._  9 The decay constant of a certainradioactivemmleus 30.300 3“. If4.0!_) x 10‘ undecayed nuclei axepresent at time . ,yremainatﬁmetzioﬂs? .
~>¢
M05): /yoe
. :)«$"
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 101 m
c D: 6.00 x 103 m /" 13—51%
M a shift of 600 hinges occurs. ...
View
Full Document
 Spring '09
 JOHNMERIWEATHER
 Physics, Diffraction, Light, Wavelength, Speed of light, scantron card

Click to edit the document details