Exam1_59950_sol - Name: PHY 317L February 22, 2007...

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Unformatted text preview: Name: PHY 317L February 22, 2007 Signature: Exam 1 Unique number 59950 Instructions: 0 No notes, textbooks, or similar aids are permitted. 0 Use the scantron answer sheet to provide the answers. Follow exactly the directions how to mark it. Write your name (last, first), UTEID, course name, unique number. Sign and date it. Mark solutions for all problems. Mark your answer sheet using #2 pencil. Mark only one answer per problem. If you need another scantron, ask the instructor. 0 There are 16 problems on the exam. Every correctly answered problem is worth 6.25 points. An incorrectly answered problem is worth 0 points. 0 Unless you are ready to leave at least 5 minutes before 10:45 am, please, stay in your seat until all answer sheets are collected exactly at 10:45 am (i.e., you have about 75 minutes for the test). 0 Any questions you may have about the test have to be directedto the instructor or a TA —— - no conversations and/or collaborative work are permitted. 0 You may use the blank sides of the handout for notes and calculations. 0 Some equations and other information that may be usefiil on this exam are provided on the last sheet of the handout. You may detach it during the exam but may not ask questions about it. You will also have to turn it in with the rest of the exam handout at the end of the exam. 0 Sign the exam handouts and return them with the scantron form. Page 1 J Elly . A point particle has mass m and positive charge q. It is initially moving with constant C velocity in the +x direction with kinetic energy K0. Then it enters a region where a uniform electric field of magnitude E points in the +x direction. What is the kinetic. energy of the particle after it has travelled a distance d (in the +x direction) in the electric field region? A) KW +0] ~————-> wt AKE @qu/m M] ; (Er .KE.1 but Ko+qu ‘ 7, " D) Ko-qu K9: L W: Va F- «Me so E) none of these KE K w r 3 EA z — o q 4 => K6; 2 KO +qu (Q 2. The separation of white light into colors by a prism is associated with: A) total internal reflection B) partial reflection from each surface C) a decrease in the frequency of the light in the glass CE? variation of index of refraction with wavelength E) selective absorption of various colors 0 3. For a particular arrangement of a He-Ne laser incident on a single slit of width 0. l 0 mm, the first minimum adjacent to the central maximum of the single-slit diffraction pattern is located on a screen a distance of 1.0 cm from the peak (i.e., center) of the central maximum. If the slit is now replaced with a slit of with 0.20 mm, with all other things remaining the same, what will be the new distance from the first minimum to the center? A) 1.0 cm here, m: i 'L M'lnimki 0k$““e : “\x B) 2.0cm gt g asime; A tome/XSlMe '= % T x 50 3= )3? It a—bZo» W *4 a: '= 0,5 cm A 4. object is 10 cm in front of a convex mirror of radius 80 cm. Its image is: virtual and 8 cm behind the mirror 1 ' , r < o = virtual and 20 cm in front of the mirror CNN 1% m ‘(m r ° E) none of these ‘9‘ D P Czé : C) real and 20 cm behind the mirror r = -80 cm :3 ‘P '-'- "' 4(0 CW)- D) virtual and 20 cm behind the mirror 9 E) real and 8 cm in front of the mirror ? ' \Q QW‘ L’fi (‘03(—40) '. '12.? : wacm P'wl: \D—(‘4°\ I 50 its \MMSAA wiwm’ m2: \t'a’imol k< O '2') "mm3e Page 2 5. An isolated charged point particle produces an electric field with magnitude E at a point 5 m away. At a point 1 m from the particle the magnitude of the field is: A) 15/25 LC} q be nu Fwd (Ravage. "(tum 255 . @1615 .V j_ 5.“: j, sum): 5.. 33 £2” E We“ H muss «mom ECO t 28 E053 6. Charge Q is distributed uniformly throughout an insulating sphere. The net electric flux in N - mz/C through the outer surface of the sphere is: @0960 60‘55' Lew; +L\\s Us. 'Hrt decide ) 2Q/(o .l:\ux Ks rehxkd {b 444?. Chou/'11; euclosek ‘03 D) 9/4: PA ,. fig _. ' T k E) 9/2130 394A : ‘3 35 .M .3 44a was. glad» . .HQX wk Lek 'Lg alga 7. Monochromatic light is normally incident on a diffraction grating that is 1.2 cm wide and has 10,000 slits. The first order line is deviated at a 30° angle with respect to the direction of the incoming light. What is the wavelength of the incident light? Q , 0 \‘2 m 3; 333 nm p“; 44.. A2; 5mm. 2. go. o... «J 2 + <5 = [0,000 nm C) 500nm Via: “ iii-Promth qui‘wca is'm9=m>\. Q15) first only :5 mat m3 E'm '30 _‘- "1 so “is 1 X = (oome 8. Approximately what is the maximum distance at which a person can distinguish between the images of the two headlights of an approaching car? Recall that the pupil diameter is about 2 mm and the index of refraction inside the human eye is about 1.3. You should approximate the wavelength of white light to be about 550 nm and assume the distance between the headlights is about 1.0 m. >\ ._ 550 X lo "7 l -_ O, 00 2 m A) 1000 in Ar. @moom 4 u, 4;.” ea: s‘me = .‘i C) 9000m o 13) 15,000 m e '0 ‘9 T As cu m“ «Rama. m throw“ 54 E) none of these, because there is no limit 5 M“ “My Q 9‘2: 1.1% *1, 5W...\\e s‘v—Ga-B @ecamu the. e31 has at“. 9&- ergr-m; tint “:43: we, must «kauv )‘witk )s/y‘ fp=vj z ‘1 _“DA :LtQCLOACZXIo’525 v ma: 9,, 1.22. A 0.22 )Lcrmo’h) :§.9 Mosh“ 400%“ Page 3 9. A charge of 20 C is placed on a spherical conducting shell. The shell has inner radius of 5 cm and outer radius of 7 cm, and is hollow inside. A point particle with a charge of —S C is placed at the center of the cavity. The net charge on the inner surface of the shell is: A) —lOC B) —5C RV o~ (tn/«Koch?! (“1% QMVCAQ ’,Mg;(\eJ APVI9$1+IAJ€ due” «l—BC C) 0C 0m W slur“ will be aiiflratdflcb ix: ‘l’lr-l flecsa‘hI-re (Mam? CD) +5 C C». 3M2 rtgotv ks} E) +10C 0“ k9“) Muck €198“; JAqu 15; pucak an "ll/LE ska“, Y'¢30V‘\l95$ o? “l’LJl gall/5 Wide); 10. Light is incident from air onto a pair of transparent slabs, as shown, at a 45°angle of incidence. What is the angle (with respect to the normal) at which the light exits the second slab? Law as: QeQdehM (Ll Qadw bowfldw‘fif Halt, S'VKQon : E) none of the above 11. An object is 40 cm in front of a converging lens of focal length 20 cm. The image is: @ real, inverted, 40 cm behind the lens, and the same size as object B) real, erect, 80 cm behind the lens, and four times bigger than the object C) virtual, inverted, 20 cm in front of the lens, and half as big as the object D) virtual, erect, 20 cm behind the lens, and half as big as the object E) real, inverted, 10 cm behind the lens, and one-fourth as big as the object ?: 40cm ‘f 3 870cm l: :5: : (Ala—Lilia.) 1 be? 40'10 Page 4 12. Two particles with charges Q and —Q are fixed at the vertices of an equilateral triangle with sides of length a. If k = 1/41: 6 o, the work required to move a particle with a charge q from the other vertex to the center of the line joining the fixed charges is: QC] F119: woes I (\qu Hui QUE“: I \ \‘JLQS‘. cu a a N -Q +0": """""" “O """"""" —Q Chang wuou‘vua .L "in a l'ws 2>ck¢~vs§ “sham: 1‘ v‘k-WKS 0 =3 -AU ‘3 O ‘= W qu/a $ec<m& was; t C) qu/a2 U4 : {93 _ \LQq ” keno U1: £39 £93 - 5361 D) Zqu/a all ‘37; "75;" o~ o ‘3‘ E) —2qu/a 1 1 AU¢k§1—k§j—kG—kigl‘£q+g:O:~W§W:O ’ “h “[2 I 6‘ Ck (k 13. In a Young's double—slit experiment the center of a dark fn'nge occurs wherever the light from the two slits travels a distance that differs by which of these sequences (where 7» is the wavelen h of the li ht)? _ , _ gt g mil/UNA; As‘m’e -’ (mi )\ A)l 3 5 7 m K A ‘ $0 ‘ L e _-‘ . , —2,—2,—2,—2,... 3 3 3 3 MIRRM OCCLN 03"” C 2,22,32,42,... )1357 1% 3X ixlx'” @—2,-2,—2,—2,... 2 I 1 ’ 2 ‘-' 2 2 2 2 2 E) none of the above 14. A 100 N/C electric field is in the positive x direction. The force on an electron (charge —e) in this field is: H A) 100 N in the positive x direction 5 E- B) 100 N in the negative x direction ,4 .4 E C 1.6 X 10'17N, in the positivex direction F- : c, '~ '-’~ " a ‘3 i -17 . . . . (1)6 x 10 N, m the negative 1: direction ace is: a? P5 Q R_ w? E W9— 12, V1. \‘EYVXQ—NCB Page 5 15. A solid metal sphere of radius 1 m carries a positive charge and is at a potential of 100 V at its surface, relative to the potential far away (which we assign the value of 0 V). The potential at the center of the sphere, and 2 m from the center of the sphere, are: @ 100 V at the center, 50 V at a point 2 m from the center R ku\ Lal OJ (kay B) 0 V at the center, —100 V at a point 2 m from the center 1 Yo R‘s-yd a} swkce C) 100 V at the center, 25 V at a point 2 m from the center ' D) 0 V at the center, 25 V at a point 2 m from the center V ,_ B 50 (1+ '2 M V -_ 50V E) none of these V . 16. For two different transparent media A and B, the indices of refraction are given by: 71.4 = 1.25 and m; = 1.75. Total internal reflection at an interface between these media: A) always occurs whenever the light goes from A to B B) always occurs whenever the light goes from B to A C may occur when the light goes from A to B may occur when the light goes from B to A ) can never occur at this interface Com Maw»: 'l’a‘d vakvml ec‘l‘klm or re—Cro.<:)£°‘" Page 6 ...
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Exam1_59950_sol - Name: PHY 317L February 22, 2007...

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