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Unformatted text preview: ﬁnq‘ ’ ' F‘ 1 An object is moving in one dimension only. If the uncertainty (standard deviation) in its momentum has a
magnitude of 4.00 X 10—6 kgmls, what is the minimum Jpossible uncertainty in its position?
2 CA: 2.65 x 10'39m QM? t J
EB: 6.03 ><1027 m ﬁx (Howa t, 1 317g: A, _. ‘i 00 no“
lID: 3.79 X lOZBm __ a.” “0.3L: ‘3:
EE:’ Noneoftheabove k______ am : 1.3M};
‘l ‘00 mo '6 2 The physical law that describes the electrostatic force between two point charges is
CA?” thn's law. _7
' Coulomb’s 1a?
cc: aﬁyiﬁﬁ"
CD: The Biot—Savart law.
CED Lenz’s law. 3 At a certain frequency, a certain capacitor has a reactance of 3.00 .0. If an ac current of 4.00 A amplitude (peak
value) ﬂows through the capacitor at that frequency, what is the amplitude (peak value) of the ac voltage across it? VHR Mrs» BIL v = (3)0” :11. CB: 1.33v V
cc: 0.7sov XL ' ‘f‘ £004»? :40” v; tuttit
CD: 36.0V CE =1 None of the above 4 Light of wavelength 600 nm is normally incident on a double slit. An interference pattern is seen on the other
side of the slits. If the angle between the central maximum and the ﬁrstorder‘maximum is 60.0“, how far apart aretheslits? r: r A” clgkno
_._,ﬁ m _ l EA: 520nm L9, (, =3: lOnm \ “it, \(toonm) ~_ ‘1 Sin no I2G: 1390nm \ “ A c :D: 346nm W Cl CE =1 None of the above 5 Which is a vector?
can elecn'ic’p/otenﬁal
CB 2' mgnetieﬂux
@yfgﬁalso known as magnetic ﬂux density)
CD: electric, charge
r2E3 electrigesistance 6 A person with a near point distance of 25.0 cm uses a converging lens of focal length 9.00 cm to attempt to
magnify some fine print. If the image he views through the lens is inﬁnitely far away, what is the angular magniﬁcation? . \" A” E? T” 6 I.
C“? W : = EB: 2’78 H} k/ q (V'h CO: 6.62
CD3 14.1 ':E 3 None of the above l/
7 The capacitanCe of a pair of conductors is deﬁned as E EA: the potenﬁalW the conductors divided by the current ﬂowing from one to the other.
CB:l the amount of charge that can be transferred from one conductor to the other. l:C:I the nonelectrostatic work per unit charge that is performed in transferring charge from one conductor to
the other. the ct charge on either conductorrdittitledbythe
lIE3 the charge per unit time that ﬂows from one conductor to the other. 8 A certain electromagnetic wave traveling in a vacuum has an intensity of 2.00 Wlmz. Suppose the amplitude of
its electric ﬁeld intensity oscillations is tripled (i.e., increased by a factor of 3). What will be its new intensity? CA: 0.667 Win32 1"?» gt (9 7 : Li 1
M v '— ' '33:1 0.222 Win12 lo ’ ‘ 557—1  IQ . b a aea mp oL‘pe .5“ «k 8'0 W’mz _'  era «that» I=E=I Noneoftheabove of— ?) . 9 The electric charge am in a box at time t is given by 4(1) = (4.00 Clsz) r2. What current ﬂows into the hex at
time t = 5.00 s? . h‘ 1C —"""'
EA: 125 A ~ T; { ED2 167 A cE 2' None of the above 1 O In a certain oneelectron atom, the ﬁrst excited (n = 2) Bohr orbit has aradius of 0.235 A. What is the radius of
the second excited (n = 3) Bohr orbit? :A: 0.352 A h, a a 3"." #533 0.104 A %
(Rica 0ng A
co: 0.157 A =E =1 None of the above ,i— q '1 (L: 1 1 The decay constant of a certain radioactive nucleus is 0.300 s“. If 4.00 X 10“5 undecayed nuclei are present at
time:=0,howmanyremainattimet=5.005? A: ems—t wrap“ .93x105 ﬂ ADMIN,  :B: 2.40x 105 '
M ED: W105 2427 x13": CE:l None of the above 12 Who explained blackbody radiation by hypothesizing that the energy of vibrating atoms cannot vary continu
ously from zero to inﬁnity but, instead, is quantized? CA3 Einstein
:83 Bohr
EC: Rutherford
ED: deBroglie E 3.319119 1 3 Suppose there were a uniform elgtric ﬁeld of 3.00 NIC pointing vertically upward in this room. If the tabletop
at the front of class has an area of 2.00 m2. what wouidbe the electric ﬂux through its surface? CA: 150 Nmllc _r ' can 0.667Nm21C F 9 '3 “Ni” SEAR
:c: 0.750 Nanle 1;; mg «5.50%?
:0: 1.33 Nm2/c («fﬁﬁwﬁone of the above (zoom: «.9st T—o 1 4 A inﬁnitely long wire carries a current of 4.00 A horizontally toward the north. What is the magnetic induction atapoint3.00mwest ofthe wire? 7 q A
CA: 2.67 x 1041', toward the east _.~. A01 ___ 9n rid'li)
: —1T u  ,3”; 3 an  11:3
CO:1 1.68 x 10“ T.towardthenorth »_ 15'] x ,0“?
CD: 1.68 x 10'6 T, toward the west i
. .L 149.2
l=E=l None of the above ‘ amp “'1 15 When light of a single wavelength is incident on a single slit, and a screen is on the opposite side, a pattern is
formed with a large central bright fringe and alternate dark and bright fringes on each side. This phenomenon is called A
Eﬁrﬂgdiﬁiraction. ‘>
:35 resolution.
EC:I refraction. 1 6 The magnetic flux inside a singlelgo _of wireincreases from 2.00 Wb to 6.00 Wb at a constant rate for a time
of 3.00 5. During that time, ﬁhﬁcmrJlis induced iﬁthe wire? CA3 9.00v r3; WV 6:6 __/_ 453/ :B: 12.0v D '/ l (W cc: 36.0V — 4Q) _ :0: 133 £ 325’ :9, r: E :1 None of the above 1 7 In formulating his four integral equations describing the relation between electric charge, elwmc_mene elec
trichelds and magnetigﬁelds, Maxwell came up with a new quantity that made his equations more Symmetric.
That qumitity is required for his equations to predict the existence of electromagnetic waves. What is that
quantity? EA: magnetic ﬂux EBII electric ﬂux CC:I magnetic monopole ED: electrical impedance
/, ————‘ @ilisplaoement j 18 The potential difference between the piates of an ideal parallel place capacitor in a vacuum is 12.0 V. If the
plates are 0.0300 m apart, what is the magnitude of the electric ﬁeld intensity between the plates? can 0.360Vlm C; éc A; V719 : “L:
ca: 1.33 x 104 Vlrn ' or :4 @E E3 : ‘32" : ctoo .
I=D=1 2.50 x 10‘3 Vlrn o?ao —— I:E :1 None of the above 19 A light ray moves through water (index of refraction = 1.33) in an aquarium generally downward but in a
direction 40.0“ from vertical. The bottom of the aquarium a thick plate of transparent material with an index of refraction 1.80. What is angle the angle between vertical and the light ray in the glass plate? mra‘mea 2 mb shoe, “2"” NW (_ t
EB: ' ‘ $1. nqo LL81: mine
CC: 53.1“
CD: 12.2“ (0 Age“ CE:I None of the above
20 What is the equivalent resistance of 3 6000. resistance and a 4.004). resistance connected in parallel? EA: 1.50.“ (p q
__ M an S},
'13: 0.6670 6+4 ’0 '
l1C:l 10.0.0.
g" :D: 2.400 r CE; ‘None of the above ! PHYS 202 (Sec. 2) Final Examination May 4, 2000 INSTRUCTIONS NOTE: YOU LOSE 5 POINTS IF YOU FAIL TO FOLLOW ANY OF THESE INSTRUCTIONS. 1.
2.
3. Answer this test on the furnished SCANTRON card (or its equivalent) using a #2 pencil.
In 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 SCAN'I‘RON 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. Each question in the attached test has a corresponding row on the SCANTRON labeled by the question numbers
“1”, 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. If? d r ‘u’ .l R '3': jljr/‘A : L403: 1 Three currentcarrying wires run through an open window, creating a magnetic induction B(r) at the window
frame, where r is a position on the window frame. If the closed path integral p B  air is evaluated around the window frame, the result is 4.00 X 10‘5 Tm. What is the absolute value of the net current ﬂowing through the
three wires? CA3 5.02 X 10‘11 A
EBB 31.8A EC: 3.14 X 10‘2A
CD: 4.52 X 10‘6A CE :1 None of the above l}; . Mu I (EMA/Q
Kit? A“ 2 The impedance of an ac circuit is expressed in what units? lﬁ!’ ohms all" Wk:
EBB valts I “.13...
5C3 farads ED:l seeands l:E 2' inverseseconds 3 A surveyor is using a magnetic compass 8.00 m below a horizontal power line in which there is a steady current
of 200 A. What is the magnitude of the magnetic induction at the site of the compass due to the power line? CA: 3.93 X 10—6T _.———M° I ‘fn we" (:00 A‘)
533 3.l4 X 10—5 T . 2”“ O 5.00 x 10’6T
CD3 6.25 x 10'7T l2E3 None of the above 4 The uncertainty (standard deviation) in the position of an electron is given as 8.00 X 10'” in. What is the least
uncertainty (standard deviation) in any simultaneous measurement of the momentum of this electron? Ii 6.59 x 1025 kgmfs ax asp ~ 1}; “t:
EB: 5.28 X 10‘35 kgm/s
503 6.37 x 10‘5 kgmls
CD: 1.43 x 10—25 kgrnfs
'2 E 3 None of the above
5 The statement, “The integral of the electric ﬂux over a closed surface equals the net charge enclosed by that
surface divided by the permittivity of vacuum, ” is known as
EAII Ampere’s law.
EBI! Maxwell's law.
*0 Gaussf law.
ID:1 Faraday's law.
CE 3 the Biot~Savart law. 1 1 Two point charges of 4.00 C and 3.00 C are separated by a distance of 5.00 In? What magnitude force does each exert on the other?
F; J— (it can
Ll 994: 4.32 x mm we. r...
:B: 2.16x10'0N CCj 2.12 X 10‘” N
1934.25 X 10"2N
IIE3 None of the above 1 2 A metal plate is illuminated with light of a certain frequency. Which of the following determines whether Or not
photoelectrons are emitted by the metal? ' CA3 the intensity of the light CB :1 the length of time of exposure to the light :
CG:I the thermal conductivity of the plate t. r .03
CD: the area of the plate
a“ the material the plate is made of
1 3 In a certain electric ﬁeld, the potential V at position (x. y, 2) depends only on x and is given by
4.00 V 2
Va) 2 U[ I U)? '0!’\
Mth i denoting a unit vector pointing in the positive x—direction, what is the electric ﬁeld intensity at the position
= 9 x 3.00 m. 0‘ ~— CA: E = —(0.444 Vlm)i C: r l E an as e E = 4(0143 V/mJi
cc: E = (0.0494 V/m)i
_.>CD3 E = (0.296 V/m)i CE 2' None of the ab0ve 14 When an candle ﬂame is placed 20.0 cm in front of a lens, an image of the ﬂame is projected on a screen 50.0 cm
behind the lens. What is the absolute value of the focal length of the lens? CA3 70.0 cm . _ é— * If; : J;
EB3 30.0 cm .7 _ ' _, tea 33.3 cm HI ’ “"""5~"—‘3~4l. ' I it + E15 T1D: 37.5 cm ——9= E31 None of the above 15 We showed in class that, at any point in an electromagnetic wave traveling through vacuum, the magnitude of
the electric ﬁeld intensity is equal to the magnitude of the magnetic induction multiplied by a constant. What is that constant? _
1Emathe speed of light in vacuum '— 13 Q
EB:I the permittivity of vacuum CC3 the permeability of vacuum CD3 Planck’s constant EE 3 the magnitude of the electronic charge 1 6 What is the potential difference across the 9.000 resistance in the circuit below? 9.000 v= R T
:A: 6.67V U’CPJJS'Zt’ .357 a)
was 7.71 v
cc: 0.857 v ,2
con 10.5V f4 ““ '357
CE: None of the above any 1 7 Total internal reﬂection sometimes occurs when light traveling in one medium meets an interface with a second
medium. In order for this to occur, which must be true? U CA II The incident ray must move along the normal to the interface. I:33 The ﬁrst medium must be air. . . . _ C
CD:I There must be a reﬂective coating on the 1nterface. n. ‘ m The speed of light in the second medium must be greater than in the ﬁrst medium. 1. A metal rod is falling vertically at a certain location on the earth where the earth‘s magnetic ﬁeld has a induction
of 5.00 X 10—5 T pointing horizontally to the north. The rod always points in an eastwest direction and has a
length of 3.00 m. When its speed is 20.0 m/s, what is the absolute value of the emf induced across the rod, and
which end is positive? g {3: 30 A “gs N (I: 3100 U1 “Mm/5
CAI! 3.33 X 10‘4 V, east end positive
l:B:l 3.33 X 10'4 V, west end positive
HOE! 3.00 X 10‘3 V, east end positive
lIDS 3.00 X 10*3 V, west end positive IIE 2‘ None of the above 19 A ﬁlm of water of index of refraction 1.33 lies on a horizontal flat surface of glass of index of refraction 1.50.
The thickness of the water ﬁlm is 600 nm. Light of a continuous range of wavelengths from far infrared through
far ultraviolet travels vertically downward in air and is incident on the water. What is the longest wavelength of
this light that can be strongly reﬂected upward from the water ﬁlm with constructive interference? Express your answer as the wavelength of the light in water. “fa k .
CA3 2400 1,33 U9 __._ a If “m .n A
._._> CB: 1200nm 4051...? "L [.5 y: a A;
EN 600 nm
ED:I 900 nm 1IE 3 None of the above 2. The inductance of a certain coil is 0.500 H. If the current through it changes at a rate of 800 A15, what emf is induced across the coil? _ ‘ I ‘ altsmoov é' '5’
.7 EB: 400v ’7 .
cc: 1.60x105v My 7 :D: 2510v ' I: E 3 None of the above SCRATCH SHEET Information you may or may not need: gravitational acceleration near earth = 9.80 W52
magnitude of electronic charge = 1.60 X 10‘19 C
mass of electron = 9.11 X 10'31 kg mass of proton = 1.67 X 10‘27 kg permittivity of vacuum = 8.85 )5 10'12 F/m
permeability of vacuum = 4n X 10—7 TmlA
speed of light in vacuum = 3.00 X 108 m/s
Planck’s constant = 6.63 X 10‘34 Js {5,1,4 L, 5 P MN? 26905" Dem jot... 1 Which is hue? _ .
 CAD The focal length of a spherical mirroris twice its radius of curvamre. ', _
I: B 21 A spherical mirror. can never produce an image that is larger than the object. I: C3 The greater the radius of curvature of a spherical mirror, the shorter its focal length.
C D3 mirror that is ﬂat and not curved cannot produce an image. ' @e image produced b5! 3. diverging (convex) spherical mirror is always virtual. ‘/ 2 Consider a series RLC ac circuit. The amplitude of the voltage across the circuti divided by the amplitnde 'of the
current through the circuit is e impedance of the circuit. ' 1
I: 8:! the tangent of the phase difference between the voltage and the current. ' Z : R Jr [XL ” V A
C C3 the resonance frequency of the circuit. ‘/ ‘—' E:i always zero if there is no resistance in the _circuit. ' E D3 always equal to the resistance in the circuit. 3 A metal plateis illuminated with light of a certain frequency. Which of the following determines whether or not
photoelectrons are emitted by the metal? ' ' e intensity of the light / 7 r I: B D the length of time of exposure to the light v E Oil the thermal conductivity of the plate I
I=IIJ'—" the area of the plate
I: E3 the material the plate is made of 4_ Total internal reﬂection sometimes occurs when light traveling in one medium meets aninterface with a second medium. Inorderforthistooccur.whichmnstbetrue?  7 ' '
E A3 The incident ray must move along the normal to the interface.
C BII The ﬁrst medimn must be air.
=2 CI! The index 'of refraction of the second medium must be greater than that of the ﬁrst medium. V’
= D3 There must be a reﬂective coating on the interface. ' @e speed of light in the second medium must be greater than in the ﬁrst medium  ‘I?hersta£ement, “The integral of theelectric ﬂux over a closed smface equals the net charge enclosed by that surface
divided by the permittivity of vacuum, " is knownas  EA: Ampere’s law. ' *er 1' Maxwell’s law.
@uss’ lan/
.I=D=I Far'aday‘s law. ' E E:I the Biot—Savart law. showed in class that, at any point in an electromagnetic wave traveling through vacuum, the magnitude of the ' ﬁeld intensity is equal to the magnitude of the magnetic induction multiplied By a constant What is that constant? _ ' i '   CAI! the speed oflightin vacuum Eli}:l the permittivity of vacuum E : KC, I: C: the permeability of vacuum ' 7 'C D: Planck’s constant ‘ c E 5 the magnioide of the electronic charge 7 Three currentcarrying wires run through 'an open window, creating a magnetic induction B(r) at the window frame,
where r is a position on the window frame. If the closed path integral ﬁ B  dr is evaluated around the window
frame, the result is 4.00 X 10'5 Tall. What is the absolute value of the net current ﬂowing through the three wires? 3 : M0 Leo(low;
zUﬂx’b1>(:Wtiwr/\ '1 Dir/0 ’57:“ co: Ajax 10*5 A
" CE:I Noneofthe above / . 8 An optical microscope is used in such a way that the ﬁnal image is inﬁnitely farfrom the user, who has a near point
distance of 25.0 cm. The focallength of the eyepiece is cm. If the absolute value of the magniﬁcation of the
objective lens is 15.0, what is the absolute value of the overall magniﬁcation of the microscope?   CA3 6.67 t: :1 ‘ J.) " . '
a 750 p out, , QR’» CO: 3.33 ML) 1 CD: 0 i , C E: None of the above 9 The resistivity of copper is 1.69 X 10‘8 (1111. What is the resistance of a copper wire of length 500 m and cross section area4.00><10‘5 m1? ' 7 K ; Pi
cA3‘1.35><10“5.ﬂ f5 My? Y (10'? v t it
:3: 106.0. ~ .0. . m 59:, .0.?..1_l_9.‘/ ' 12: 590m 7 I X
:E: None of the above ' M
1 O A ﬁlm of water of index of refraction 1.33 lies on a horizontal ﬂat surface of glass of index of refraction 1.50. The
thickness of the water ﬁlm is 600 um. Light of a continuous range of wavelengths from far infrared through far
ultraviolet travels vertically downward in air and is incident on the water. What is the longest wavelength of this
light that can be strongly reﬂected upward from the water ﬁlm with constructive interference? Express your anewer
as the wavelength of the light in water. ‘ 7/? can lZOOnm
, __._7I:B= 240011111/ 2 1 1 A +5.00C charge locateci 8.00m west of a ~5.00~C charge. What is the electric ﬁeld intensity (magnitude and
direction) at a point midway between the two? . CA: 3.51x103 NIC; west X ' _ i A,» X ‘ ' A ': ($7 (,4 g m D can 7.02x108N/c,we'st‘>< ' g : ..._...._—— _ .— _”‘ cc: 5.62x109N/c,east X _‘ 2450 K E; . 3
/  6 =53“ 0 '2 2 Noneoftheabove . _ 21760 _ 1 2 A surveyor is using a magnetic compass 8.00 m below a horizontal power line in which there is a steady current of
200 A. What is the magnitude of the magnetic induction at the site of the compass due to the power line? .cAn 3.93 x 106 T
'53: 3.14x 1051“ /. ccu'sooxw‘T.  . 7 ‘_ 3 EDI! 6.25 X 107 T r. E: None ofﬂie above W ‘ — O 1 3 ha certain electric ﬁeld, the potential V at position (x, y, z) depends only on x and is given byte—"' cen E = —(0.148 VIm)i
c c: E =; (0.0494 Vlm)i
co: E = (0.296 mm ./ :3— '
' "I When an candle ﬁam_ s placed 20.0 cm in front of a lens, an image of the ﬂame is projected on a screen 50.0 cm behind the lens. What is the absolute value of the focal length of the lens? 7 ‘
:A: 70.0 cm ' 53330.0cm' } + J _____/__ {Ecz’rsas'cm' '  ’9 '7 5 14 ____..t 14M? x“; :13: 37.5 cm oh w w M some“ 15 What is the potential difference across the 9.004) resistance in the circuit below? Vcr) __ 4.00 V'mz _ R i
I _ x2  . .
With i denoting a unit vector pointing in the positive xdirection, what is the electric ﬁeld intensity at the position
x = 3.00 m? a ' a ‘f .
. ' I
 . ' = _ . ' /  k ‘ '“' a r‘ ‘
0 EA: E. ﬂ 7?” .__ . L. 9.00 ‘3:
EA: 6.67V J.»— I i
W 5.009. I cc: 10.5v E E:1 None the above J 12—0 V : t ‘ . _ 1 6 A thin, nonunifome charged rod of length L extends along the x—axis of a coordinate system from x = 0 to x =. L.
7" ' The linear charge density (charge per unit length) it at position x on the rod is given by l = Cx, where C is a
constant. Taking the electric potential to be zero at inﬁnity, derive an expression for the electric potential at the '
origin (x = 0) in terms ofthe stated quantities (and physical constants, of course). 1C cA=V(0)=T— _ _' . 7 5], e j.
. 4601; ‘ 1&3 )K v Lilléo r . l
B: V(0)=——HCL . '
' three,  .
ﬂ: . ,J/ IA
7 ~ vmo
I , an: “0):;(1 V...
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 Spring '09
 JOHNMERIWEATHER
 Physics, Magnetic Field, Electric charge, electric field intensity

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