Physics 102 Syllabus & Answered Homework Problems Spring 2008

Physics 102 Syllabus & Answered Homework Problems Spring 2008

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Unformatted text preview: D41 1.C OM - PR EME D41 1.C OM ashkenazi Professor Josef Ashkenazi - PR EME P D41 1.C OM Contact Information - PR EME University of Miami, Department of Physics Post Office Box 248046 Coral Gables, FL 33124 Telephone: (305) 284-2323 ex.3 COM - PR EME D4 11. COM - PR EME D41 1.C OM James L. Knight Physics Building, Room 310 Office Hours: Tuesday and Thursday 2:30-3:15 pm ED4 11. COM - PR EME D4 11. Associate Professor; Ph.D., Hebrew University of Jerusalem, 1975 - PR EM COM 11. ED4 - PR EM COM 11. ED4 - PR EM COM 11. ED4 - PR EM COM 11. ED4 - PR EM COM 11. ED4 MPRE M .CO ashkenazi@physics.miami.edu UM Physics Home Page UM Schedule Spring 2008 Phy102 Class Record (requires password) Phy102 Homework #1 Phy102 Homework #2 Phy102 Homework #3 Phy102 Homework #4 Practice Test #1 Phy102 Homework #5 Phy102 Homework #6 Phy102 Homework #7 Practice Test #2 Phy102 Homework #8 Phy102 Homework #9 Practice Test #3 Phy102 Homework #10 Phy102 Homework #11 Practice Final Test PRE MED 411 Fax: (305) 284-4222 http://www.physics.miami.edu/ashkenazi/102/ (1 of 2) [5/10/2008 2:59:29 PM] Ashkenazi's Home Page Physics Classes Spring 2008 Phy102 Syllabus Solution of HW#1 Solution of HW#2 Solution of HW#3 Solution of HW#4 Solution Test #1 Solution of HW#5 Solution of HW#6 Solution of HW#7 Solution Test #2 Solution of HW#8 Solution of HW#9 Solution Test #3 Solution of HW#10 Solution of HW#11 Solution Final Test ashkenazi D41 1.C OM Information about where to take the Final Exam on Monday, May 5, at 2:00 pm - PR EME Instructions Concerning Exams - PR EME D41 1.C OM To get information provided by Dr. Joshua Gundersen please click on: http://www.physics.miami.edu/~gunder/ PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM James S. Walker, Physics, Third Edition. Lecture Outlines: Chapter 19, Chapter 20, Chapter 21, Chapter 22, Chapter 23, Chapter 24, Chapter 25, Chapter 26, Chapter 27, Chapter 28, Chapter 29, Chapter 30, Chapter 31, Chapter 32. http://www.physics.miami.edu/ashkenazi/102/ (2 of 2) [5/10/2008 2:59:29 PM] D41 1.C OM - PR EME D41 1.C OM ashkenazi - PR EME Professor Josef Ashkenazi D41 1.C OM Contact Information - PR EME University of Miami, Department of Physics COM - PR EME D4 11. COM - PR EME D41 1.C OM James L. Knight Physics Building, Room 310 Coral Gables, FL 33124 Telephone: (305) 284-2323 ex.3 Fax: (305) 284-4222 Office Hours: Tuesday and Thursday 2:30-3:15 pm ashkenazi@physics.miami.edu ED4 11. COM - PR EME D4 11. Associate Professor; Ph.D., Hebrew University of Jerusalem, 1975 Post Office Box 248046 COM - PR EM ED4 11. COM - PR EM Personal Information Publications Scientific Achievements Campus Maps UM Physics Home Page UM Schedule Spring 2008 Physics Classes Spring 2008 PHY102 Class Spring 2008 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. Unconventional Superconductivity Workshop 2004 http://phyvax.physics.miami.edu:8001/ashkenazi/index.htm [5/10/2008 2:59:37 PM] 1.C OM PHYSICS 102 --- SPRING 2008 Apr. 14 TEST III Apr. 14 Atomic Physics Nuclear Physics & Radiation - PR EME - PR EME D41 1.C OM - PR EME D41 1.C OM 28 29 30 5:00-6:15 pm 1.C OM 31 32 11. FINAL EXAM Monday - PR EME D4 May 5 COM - PR EME Apr. 21 Monday D41 Mar. 24 D41 Mar. 31 Apr. 7 Physical Optics: Interference & Diffraction Relativity Quantum Physics 2:00-4:30 pm ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM Chapter references are to Physics by James S. Walker, Third Edition (Pearson Prentice Hall, 2007, 2004, 2002). The final exam will count as two tests. There will be homework assignments and quizzes; their grades will be averaged after dropping the lowest score of each. The averaged homework and quiz grades will count together as one test, where 40% of its grade is determined by the homework assignments, and 60% by the quizzes. The lowest of the six scores (counting 20% equally) will be dropped. Attendance may affect your final grade in "boundary" cases. Students are responsible for signing the attendance sheet when it is circulated. PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM File translated from TEX by TTH, version 3.40. On 15 Jan 2008, 11:55. http://www.physics.miami.edu/ashkenazi/102/syl.htm (2 of 2) [5/10/2008 2:59:45 PM] PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #1 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 19 11. COM Suggested Problems: 11. COM - PR EME D4 1, 9, 13, 15, 17, 21, 25, 33, 35, 42, 43, 46 - PR EM ED4 Problems to be submitted on Jan. 22, 2008: - PR EM ED4 11. COM - PR EM ED4 11. COM 12, 16, 20, 24, 34, 38, 48 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM File translated from TEX by TTH, version 3.40. On 15 Jan 2008, 12:03. http://www.physics.miami.edu/ashkenazi/102/hw1.htm [5/10/2008 2:59:45 PM] MED 411 .CO MPRE M ED4 11. COM Llo] PRE F= - PR EM ED4 11. COM - PR EM c 11. < ED4 COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - *~ - PR EME D41 OM H-20. 1.C - PR EME D41 1.C OM D41 F= jo - PR EME 1.C OM 1 02. J , ; f, Jy^i»vefKfc «/ PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #2 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 19 - PR EME D4 11. COM Suggested Problems: 53, 55 - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Jan. 29, 2008: 54 - PR EM ED4 11. COM Chapter 20 - PR EM ED4 11. COM Suggested Problems: 1, 11, 13, 17, 23, 25, 31, 35, 39, 41, 43, 51 MPRE M ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Jan. 29, 2008: 10, 20, 26, 32, 38, 44, 50 PRE MED 411 .CO File translated from TEX by TTH, version 3.40. On 18 Jan 2008, 09:59. http://www.physics.miami.edu/ashkenazi/102/hw2.htm [5/10/2008 2:59:47 PM] PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME 1.C OM 2= f t-f&f fr , D41 , / .t7X /o-^ - PR EME 14-W. D41 1.C xfev-, OM PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #3 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 20 - PR EME D4 11. COM Suggested Problems: 53, 55, 60 - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Feb. 5, 2008: 56, 58 - PR EM ED4 11. COM Chapter 21 - PR EM ED4 11. COM Suggested Problems: 1, 3, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 33, 37, 38, 39, 46, 49 MPRE M ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Feb. 5, 2008: 6, 14, 24, 36, 42, 50 PRE MED 411 .CO File translated from TEX by TTH, version 3.40. On 28 Jan 2008, 10:08. http://www.physics.miami.edu/ashkenazi/102/hw3.htm [5/10/2008 2:59:50 PM] MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. 21 PRE Z/-J6: frji.T fi COM 0-7^ - PR EME D4 p/= \L r , T' 11. h= - PR EME D4 ^' COM 11. COM D41 1= - PR EME 1.C OM - PR EME D41 1.C OM 4? - PR EME D41 1.C OM - PR EME = 1-05 X ~ - S -(JL 2= a 27A _/ S =7 C-ZiAf j.( D41 1.C OM PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #4 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 21 - PR EME D4 11. COM Suggested Problems: 51, 53, 55, 60, 61, 63, 65 - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Feb. 14, 2008: 52, 58, 66 - PR EM ED4 11. COM Chapter 22 - PR EM ED4 11. COM Suggested Problems: 1, 7, 9, 13, 15, 17, 19, 23, 27, 30, 33, 34, 39, 41, 43, 49, 51 MPRE M ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on Feb. 14, 2008: 8, 10, 20, 28, 36, 46, 50 PRE MED 411 .CO File translated from TEX by TTH, version 3.40. On 31 Jan 2008, 10:58. http://www.physics.miami.edu/ashkenazi/102/hw4.htm [5/10/2008 2:59:52 PM] 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM ED4 Pn ^ 1^~~ 1^ , ^ 11,-- M , - PR EM 11. COM - PR EM ED4 11. ED4 11. COM , = - PR EM 11. I/I- 7-7^o^ A , COM j/ 11. i-2«.fiUn:frw, ^- PR EME D4 l^/aftve COM ?n ^ O-o /i-F x ED4 - PR EME D4 11. COM - PR EME D41 1.C -tf. J o(ufvon: - PR EM V/" « COM => MED - PR EME we « OM 1= PRE 1.C = * OX^o' D41 OM - PR EME D41 1.C D41 T - PR EME **.« OM f1-? jl= p.87/, , jo 7h -f^ ^ - - 0.0*1=? Q , ^ 1.C OM OM 1.C D41 - PR EME Physics 102 - PR EME D41 1.C OM - PR EME D41 1.C OM [l] Two point charges of +60.0 /xC and —12.0 txC are separated by a distance of 20.0 cm. A +7.00 /J.G charge is placed midway between these two charges. What is the electric force acting on this charge because of the other two charges? [A] Zero. [B] 4.53 N directed towards the negative charge. [C] 4.53 N directed towards the positive charge. [D] 453 N directed towards the positive charge. f[E]y453 N directed towards the negative charge. - PR EME D4 11. COM - PR EME D41 1.C OM [2] Three equal charges are at three of the corners of a square of side d. A fourth charge of equal magnitude is at the center of the square as shown in the figure. Which of the arrows shown represents the net force acting on the charge at the center of the square? [A] A f[5) B [C] C [D] D [E] None of these [3] A uniform electric field with a magnitude of 8 X 106 N/C is applied to a cube of edge length 0.1 m as shown in the figure. If the direction of the E-field is along the +x-axis, what is the electric flux passing through the shaded face of the cube? [A] 0.08 x 104 N m 2 /C [B] 0.8 x 104 N m 2 /C ({Cl>8xl0 4 Nm 2 /C [D] 80 x 104 N m 2 /C [B] 800 x 104 N m 2 /C 4-flli. - PR EME D4 11. COM jf $/////! mm \l ////I! COM \! 11 ! ,'////>' ' ''///>• - PR EM ED4 11. ./- : - PR EM ED4 11. COM [4] The electric potential at x = 8 m is -2000 V and at x = 2 m is +400 V. What is the magnitude and direction of the electric field? [A] 200 V /m directed parallel to the +z-axis [B] 300 V/m directed parallel to the +z-axis 400 V/m directed parallel to the +z-axis 600 V/m directed parallel to the +z-axis [E] None of the above. - PR EM ED4 11. COM f 11. COM [5] Three point charges of -2.00 ixC, +4.00 / xC, and +6.00 /xC are placed along the z-ajds as shown in the figure. What is the electrical potential at point P due to these charges? [A] -154 x 103 V - PR EM ED4 0.200 m COM [B] +154 x 103 V 3 ED4 11. jCl -307 x l O V @>+307 x 103 V PRE MED 411 .CO MPRE M ED4 11. COM - PR EM [E] -615 x 103 V -ZOO/iC 0.230 m 0200 m 44.00 pC OM 1.C D41 - PR EME Physics 102 1.C OM - PR EME D41 1.C OM [6] The length of a certain wire is halved while the radius is doubled. What is the change in the resistance of this wire? [A] It stays the same. [B] It is reduced by a factor of 2. [C] It is increased by a factor of 4. [D] It is increased by a factor of 6. (fEj)It is reduced by a factor of 8. D41 [?] A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B? [A] 2 ft [B] 4 n 16 ft 20 20 -vww20 20 2O - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME 2O E] i on 11. COM - PR EME D4 11. COM [8] A 5.0 ^xF capacitor is connected in series with a 3.0 k fi resistor across a 20- V DC source and an open switch. If the switch is closed at t = 0 s, what is the charge on the capacitor at t = 9.0 ms? [A] 0 C [B] 37% of the maximum charge nCj/45% of the maximum charge [D] 63% of the maximum charge [E] 96% of the maximum charge - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 [9] Positively charged particles, moving horizontally along the northward direction with a distribution of velocities, enter a region of space where both an electric and a magnetic field are present. These particles are to be selected according to their velocities. If the electric field points to the west, in what direction must the magnetic field point so t hat particles of the chosen velocity are undeflected? QA) B should be vertical pointing up. [B] B should be vertical pointing down. [C] B should be horizontal pointing east. [D] B should be horizontal pointing west. [E] B should be zero. PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM [10] A solenoid with certain number of turns TV, and carrying a current of 2.000 A, has a length of 34.00 cm. If the magnitude of the magnetic field generated at the center of the solenoid is 10.00 mT, what is the value of JV? [A] 860 q§J)1353 [C] 1591 [D] 2432 [E] 3183 « OM 1.C D41 - PR EME Physics 102 - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [11] Two capacitors C\ — 4.0 /xF and C^ = 2.0 /iF are first put across different batteries so that they take on voltages of V\ = 12 V and V^ — 6.0 V, as shown in the figure. The two capacitors are then connected in parallel (where the positive plates are connected to each other) by closing the switch, and restoring electrostatic equilibrium. Note that the sum of the charges on the positive plates (and thus also on the negative plates) remains constant when the switch is closed. (a) Compute the charge and the energy stored in each capacitor before the switch is closed. (b) Compute the charge and the energy stored in each capacitor after the switch is closed. (c) Has the total energy stored in both capacitors increased or decreased by closing the switch. If it has increased, where do you think did the additional energy come from? If it has decreased, what do you think happened to the missing energy? - PR EME D4 11. COM a)Q 1 =C 1 V 1 =(4.0 M F)(12V) 11. c, _QV?_(4.0MF)(12V) 2 - PR EME D4 - 12V 4.0 uF 6.0V 2.0 uF C2 COM — COM Q 2 =C 2 V 2 =(2.0pF)(6.0V) _ ED4 11. (2.0^)(6.0V)2 2, ED4 11. COM - PR EM Li _C 2 V 2 2 _ _ 11. COM - PR EM b) When the capacitors are connected in parallel, the voltages across each are the same. Also, the sum of the charges remains constant because, where else would they go? Vl ~V V -V 2 11. COM - PR EM ED4 c, C2 COM - PR EM ED4 (4.0nF) ED4 11. 2C, Q 2 =20jiC (2.0MF) (Q^_ 2C2 2(2.0nF) PRE MED 411 .CO MPRE M ED4 11. COM - PR EM c) UT = 300 joJ When the switch was closed, charges moved from one capacitor to another. We call this a current and so enegy was lost due to heat dissipation. OM 1.C D41 - PR EME Physics 102 (CL) D41 1.C OM - PR EME D41 1.C OM [12] The figure shows a circuit including two equivalent batteries of emf S\ = £% = £ = 12 V, three equivalent resistors: RI — RZ — RZ = R = 4.0 fi, and a switch. The switch is closed. (a) How much current flows through each resistor? (b) How much current flows through the switch? (c) How much power is dissipated in each resistor? 11. COM - PR EME D41 1.C OM - PR EME ' - PR EME D4 11. COM - PR EME D4 X/ 11. COM (b ) COM - PR EM ED4 (Cj 11. P. - PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 ' 3> ^ J = ^..0 A OM 1.C D41 - PR EME Physics 102 D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [13] The long straight wire, shown in the figure, carries a current Ji = 14 A in the x direction. The ABCD square loop, shown, has sides of length a = 1.0 m, and lies within the xy plane, carrying a current J2 = 2.5 A in the direction indicated. The side AD of the square loop lies at a distance b = 1.2 m from the straight wire, in the — y direction, as shown. (a) What are the directions of the magnetic forces exerted by the straight wire on the sides AB, BC, CD, and AD of the loop? (b) Find the net magnetic force exerted on the loop, taking into account that the forces on the sides AB and CD have equal magnitudes and opposite directions. B A I =2.5 A & •A. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME If 14 A CL_- PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. (*> 4 OM 1.C D41 - PR EME Physics 102 OM - PR EME D41 1.C OM FORMULAE SHEET Tne = 9.11xlQ-3lkg, k = 8.99 X l09Nm2/C2 - PR EME D41 1.C e - 1.60 X 1(T19<7, I JfeWTi = 3.6 x 106 J. = 8-85 x lQ-aC*/Nm? e0 = — 47TK 1.C OM leV = 1.60 x 1(T19 J, V = ~, WE = q0Ed=-qoAV, ^^ £o Wnc = &K + &U, 2e0 o Q E -- — = -— CD ^.^o AV = -E&s, V =^ r T F2 —, i ~ 2C' 7? p , 7? R. = Rl+R, + ..., - PR EME D4 11. COM - PR EME D4 11. go - PR EME T-2 g0 COM r2 D41 ,£, -f elflgal ,£jE =£—-,i a.S = k— , f$E = > PEA 4 = -p, E = ——p, Jsl t V " j_&A £ 2 o\F\ --— J Ag ~ "' X L +_ _ _ _ ..J ..., 11. COM = - PR EM ED4 q= - = \q\vB, F = IlBsin6, T = NIABsin0, fi0 = 4?r x ED4 11. COM qvBsin&, PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM B.Al~ (iong) ' 27Tcf ' (coil) ' (solenoid) OM 1.C D41 - PR EME FORM 0 1.C OM Physics 102 [C] 9.07T x 109 N D41 [B] 9.0 x 109 N &&%* x 109 N - PR EME [A] 4.0 x 109 N [E] 367T x 109 N 1.C OM - PR EME D41 [l] A p erfectly conducting hollow sphere of radius 1.0 meter is centered at the origin and has a surface charge density of 1.0 C /m 2 . What is the magnitude of the force that a 1.0 C test charge will feel if it is located at a position x — 1.0 m, y — 1.0 m, z = 0.0 m (thus on the x-y plane)? ^ 1.C OM [2] For the conducting sphere in the above problem, what is the magnitude of the electric field at the origin and on the surface? - PR EME D4 11. COM - PR EME D41 [A] 0 N /C, 0 N /C [B] 0 N /C, 2.07rfc N /C N/C, 4.07rjfc N /C 2.071-A; N /C, 2 .07rfc N /C [E] 4.07T& N /C, 4.071-fc N/C COM [3] If a negative point charge of —4.07T Coulombs is placed at the center of the hollow, conducting sphere described above, what is the electric flux t hrough a sphere with a radius .O meters, centered at the origin? O.ONm 2 /C [ B] -2.07rJfe N m 2 /C [ C] 2.07rfc N m 2 /C [ D] - 4.07rfc N m 2 /C 2 4.07rfc N m /C - PR EME D4 11. f [E] F " COM - PR EM ED4 11. COM [4] A charge -\-q is fixed at the origin. A charge — q has a mass m and s tarts at rest at an initial distance r^ from the origin. What is the speed of the —q charge when its distance from the origin becomes r ^? ( Assume TB < [A] 0 [B] 11. • TA - PR EM ED4 11. COM - PR EM ED4 [5] Circuit A contains two capacitors in series. Circuit B contains 2 capacitors in parallel. All capacitors in b oth circuits have capacitance C. In which circuit would a dielectric material need to be added in order to make the equivalent capacitances of circuits A and B be the same, and w hat would the dielectric constant of the material need to be? [A] circuit A, 2 ([Sh circuit A, 4 [C] circuit B, 1/2 [D] circuit B, 2 [E] circuit B, 4 11. COM - PR EM ED4 11. COM [6] A parallel-plate capacitor is connected to a b attery and maintained at a constant potential V. It is initially filled by vacuum and it has plates with area A separated by a distance d. If A is increased by 2, d is decreased by 2 and a dielectric with K — 2 is inserted between the plates, how much does the stored energy change? |A] 0 [B] decreases by 2 [C] increases by 2 [D] decreases by 8 flE|)increases by 8 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 [7] The resistivity of the material of a wire is 1.76 X 10~8 fi-m. If the radius of the wire is 2.0 mm and its length is 2.0 m, what is its resistance? (JAJ/0.0028 0 [B] 0.011 ft [C] 0.51 0 [D] 2.5 ft [E] 37 0 OM 1.C D41 - PR EME FORM 0 1.C OM Physics 102 OM - PR EME D41 1.C OM - PR EME D41 [8] An RC circuit is connected across a DC voltage source through an open switch. The switch is closed at i = 0 s. Which of the following is a correct statement regarding this circuit? [A] The capacitor charges to its maximum value in two time constants. [B] The resistor and the capacitor share the applied voltage equally as a f unction of time. [C] The current flows t hrough the circuit even after the capacitor is fully charged. [D] The time constant does not depend on the resistance or the capacitance. (jEJjOnce the capacitor is fully charged, there is no current in the circuit. - PR EME D41 1.C [9] A square coil, 5.0 cm on a side, has 250 t urns. When the coil is placed in a magnetic field of 0.40 T, its maximum t orque is measured to be 0.25 N -m. The current in the coil is [A] 0.010 A [B] 0.125 A (fC])l.O A [D] 2.5 A [E] impossible to determine 11. COM - PR EME D4 11. COM [10] Two long parallel wires carry currents of 4.00 A and 5.00 A, respectively. If the distance between the wires is 40.0 cm, w hat is the force per unit length between the wires? [A]7.50^N/m (JMIO.O/tN/m [C] 1 5.0/xN/m [D] 20.0 [E] 30.0 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 [13] When a charged particle enters a region of a uniform magnetic field B, directed into the plane of motion, it follows a circular path, as indicated in the figure. (a) Is this particle positively or negatively charged? Explain. (b) Suppose t hat the magnetic field has a m agnitude of 0.200 T, the particle's speed is 5.07 X 105 m /s, and the radius of the p ath is 50.0 cm. Find the mass of the particle, given that its charge has a magnitude of 1.60 x 10~19 C. Give your results in atomic mass units, where 1 u = 1.66 X 10~27 kg. - COM - PR EM ED4 Cb) PRE MED 411 .CO MPRE M ED4 11. ff\ - <8>B (g) OM 1.C D41 - PR EME FORM 0 D41 1.C OM Physics 102 A) COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME [11] An electron is fixed at x = — 1.00 mm and a p roton is fixed at x = +1.00 mm. G ive numerical results when possible. Make sure to provide the m agnitude and direction for vector quantities. Provide the u nits of the answer. (a) What is the p otential energy of this configuration? (b) What is the electric potential at the origin (thus at x = 0 )? (c) W hat is the magnitude and direction of the electric field at the origin? (d) Assume t hat an additional proton is put at the origin, and find the m agnitude and direction of the electric force on it. - PR EM ED4 11. COM - PR EME D4 11. U- PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM -Ue ov \ OM 1.C D41 - PR EME 1.C OM Physics 102 - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [12] The figure shows a circuit including a b attery of emf B = 24 V and internal resistance T - 0.50 ft, and five resistors: J?a = 2.5 ft, R2 = 5.0 ft, R3 = 8.0 ft, R± = 6.0 ft, R5 = 2.0 ft. (a) Find the t otal resistance of the circuit, and the current flowing through the b attery. (b) Find the currents flowing through the resistors #3 and R$. (c) Calculate the power dissipated by the resistor R5. (d) Suppose point B is grounded (VB = 0). Find the potential at points A and C. PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM u,o OM 1.C D41 - PR EME FORM 0 1.C OM Physics 102 D41 1.C OM - PR EME D41 FORMULAE SHEET me = 9.11 x I0~3lkg, - PR EME e = 1.60 x 10~19C, IkWh = 3.6 x 106 J, e0 = ^- - 8.85 x lQ-12C*/Nr D41 1.C OM = 1-60 X 10"19 J, k = 8.99 x W»Nm?/C2 COM - PR EME E = —, |£| = A;-!-, *E = So r2 " V0 y " Ke0A = " ' ' —> CV2 QV UB= Q2 = ^ " ' e0E* ^ = ~~' r Aq J =r > /- e xp(-i/r), sin6, g = Q exp ( -f/r), r = NIABsin6, 1= r n0 = 4?r x 1(T7—— PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM ' - PR EME D4 Q V= A F = -EAs, 7, 11. qo (long)' 27nf (coil) ' (solenoid) PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #5 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 23 11. COM Suggested Problems: COM - PR EME D4 3, 7, 9, 15, 16, 19, 22, 23, 24, 27, 29, 30, 31, 35, 37, 39, 43, 44, 45, 47, 50, 51, 55, 57, 61 - PR EM ED4 11. COM - PR EM ED4 11. Problems to be submitted on Feb. 26, 2008: 6, 14, 26, 32, 38, 42, 46, 52, 60 - PR EM ED4 11. COM Chapter 24 COM - PR EM ED4 11. COM Suggested Problems: 1, 3 .CO MPRE M ED4 11. COM - PR EM ED4 11. Problems to be submitted on Feb. 26, 2008: 6 PRE MED 411 File translated from TEX by TTH, version 3.40. http://www.physics.miami.edu/ashkenazi/102/hw5.htm (1 of 2) [5/10/2008 3:00:11 PM] PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 OM On 11 Feb 2008, 10:50. 1.C PHYSICS 102 --- SPRING 2008 http://www.physics.miami.edu/ashkenazi/102/hw5.htm (2 of 2) [5/10/2008 3:00:11 PM] PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #6 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 25 11. COM Suggested Problems: COM - PR EME D4 3, 5, 8, 9, 11, 15, 17, 19, 25, 29, 33, 35, 37, 41, 43, 47, 51, 53, 59, 65, 66, 67, 69 11. COM - PR EM ED4 11. COM - PR EM ED4 11. Problems to be submitted on March 4, 2008: 4, 16, 20, 40, 58, 60, 70, 72 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 File translated from TEX by TTH, version 3.40. On 22 Feb 2008, 13:30. http://www.physics.miami.edu/ashkenazi/102/hw6.htm [5/10/2008 3:00:12 PM] PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #7 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 26 11. COM Suggested Problems: COM - PR EME D4 1, 7, 9, 10, 13, 17, 19, 23, 24, 25, 30, 31, 34, 37, 41, 43, 47, 49, 63, 67, 69, 77 - PR EM ED4 11. COM - PR EM ED4 11. Problems to be submitted on March 20, 2008: 2, 12, 28, 32, 46, 50, 54, 68, 72 - PR EM ED4 11. COM Chapter 27 COM - PR EM ED4 11. COM Suggested Problems: 16, 17, 19, 20, 21, 27, 28, 29, 31, 37, 41 .CO MPRE M ED4 11. COM - PR EM ED4 11. Problems to be submitted on March 20, 2008: 24, 42 PRE MED 411 File translated from TEX by TTH, version 3.40. http://www.physics.miami.edu/ashkenazi/102/hw7.htm (1 of 2) [5/10/2008 3:00:13 PM] PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 OM On 28 Feb 2008, 10:23. 1.C PHYSICS 102 --- SPRING 2008 http://www.physics.miami.edu/ashkenazi/102/hw7.htm (2 of 2) [5/10/2008 3:00:13 PM] OM 1.C D41 - PR EME 1.C OM Physics 102 OM - PR EME D41 [l] A constant magnetic field of 0.40 T is applied perpendicular to a rectangular loop of area 2.8 X 10~3 m2. If the area of this loop changes from its original value to a new value of 1,6 X 10~3 m2 in 1.6 s, what is the emf induced in the loop? [A] 0 V !jBJ)3.0 x 10~4 V [C] 4.0 x 10~4 V [D] 7.0 x 10~4 V - PR EME D41 1.C [E] 1.6 x w^v - PR EME D41 1.C OM [2] A circular coil of copper wire is lying flat on a horizontal table. A bar magnet is held with its south pole downward, vertically above the center of the coil. The magnet is kept stationary with respect to the coil. As viewed from above, you can say that the magnet induces [A] counterclockwise current in the loop [Bl clockwise current in the loop no current in the loop a non-zero emf, but no electric current in the loop [E] f urther information is needed to tell which of the above is correct - PR EME D4 11. COM f - PR EME D4 11. COM [3] The primary coil of a transformer has 100 turns and its secondary coil has 400 turns. If the alternating current in the secondary coil is 2 A, what is the current in the primary coil? [A] 0.5 A [B]2A [C]4A (0)8 A [E] 16 A COM - PR EM ED4 11. COM [4] If you triple the rms voltage in an ac circuit, what happens to the maximum voltage? [A] It does not change. [B] It increases by a factor of v3. C] It decreases by a factor of \/3[D] It decreases by a factor of 3. (EJ)lt increases by a factor of 3. - PR EM ED4 11. [5] The wavelength of an electromagnetic wave is 600 nm. What is its frequency? [A] 100 x 1012 Hz [B] 200 x 1012 Hz [C] 300 x 1012 Hz [D] 400 x 1012 Hz 12 (]E)500 x 10 Hz COM [E] 5.72 x 10~7 T - PR EM ED4 11. COM [6] A 60.0 W (average power) light bulb radiates electromagnetic waves uniformly in all different directions. What is the rms value of the magnetic field of the radiation at a distance of 0.400 m from the bulb? [A] 9.87 x 10~8 T [B] 1.76 x 10~T T [C] 2.22 x 10~7 T (©3.53 x 10~7 T ED4 11. COM - PR EM ED4 11. [7] You hold a shiny tablespoon at arm's length and look at your image on the back side of the spoon. The image you see of yourself is (|A])virtual, upright and reduced [B] virtual, inverted and magnified [C] real, inverted and magnified [D] real, inverted and reduced [E] real, upright and life size PRE MED 411 .CO MPRE M ED4 11. COM - PR EM [8] A beam of light in water (n = 1.33) enters a glass slab (n — 1.50) at an angle of incidence of 60.0°. What is the angle of refraction? [A] 39.8° ([B])50.2° [C] 60.0° [D] 77.6° [E] 90.0° OM 1.C D41 - PR EME OM Physics 102 - PR EME D41 1.C [9] Find Brewster's angle for light reflected from the top of a water surface (n — 1.33). [A] 36.9° [B] 45.0° @>53.1° [D] 60.2° [E] 90.0° D41 1.C OM - PR EME D41 1.C OM [10] 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 (Q 37.5 cm COM 11. - PR EME D4 oc COM - PR EME D4 11. COM - PR EME [12] Natural sunlight of intensity J0 enters the 3-polarizer system shown in the figure (the specified angles are with with respect to the vertical dashed lines). ' (a) Find the intensity at points A, B, and C (express your results in terms of 7o)(b) If the middle filter is removed, what is the intensity at point C? (c) Through what positive (clockwise) angle must the middle filter be rotated in order to completely block the light (zero intensity) at point C, but not at point B? What would be the new (positive) angle of the transmission axis of the middle filter? 75C B PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. V 45C dE>n *- OM 1.C D41 - PR EME OM Physics 102 OM - PR EME D41 1.C OM - PR EME D41 1.C [11] The circuit shown in the figure consists of a 9.00-V battery, a 50.0-mH inductor, four 60.0-fi resistors, and a switch. (a) Find the time constant r for this circuit. (b) What is the current supplied by this battery two time constants after closing the switch? (c) How much energy is stored in the inductor after the switch has been closed a long time (thus t - oo)? (d) Assuming that the inductor is an air-filled solenoid of cross-sectional area 0.0500 m2 and length 0.300 m, find the number of its turns. 1.C * 0.0*00 f= 11. COM - PR EME D4 11. COM - PR EME D41 i— - PR EME D4 (a) r= ? PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM ~- L ! OM 1.C D41 - PR EME OM Physics 102 COM 1 \ — K - PR EME D4 A 11. If Final Image 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C [13] Two thin lenses are separated by 4.0 cm. The first lens on the left has a focal length of +5.0 cm, and the second (to the right of the first lens) has a focal length of-3.0 cm. A small light-emitting diode [LED] 0.30 cm tall is placed on the central axis 10.0 cm to the left of the positive lens. (a) Draw the problem, using the ruler provided below. (b) Locate, draw and describe [real or virtual, upright or inverted] the intermediate (due to lens #1) image. What is its magnification? (c) Locate, draw and describe (real or virtual, upright or inverted] the final image. What is the final magnification (relative to the LED)? How big is the final image? Hint: remember that cm object to the right of a lens is a virtual object for that lens! What does this mean regarding the object distance? COM oij 1C).0cn1 du — — . 10.0cm dn, ED4 = +10.0cm 10.0 cm The image is real, inverted, and life-size. ED4 11. , r, - PR EM I— — -i-l 1 - PR EM i d /? 1 5.0cm COM il 1" 11. -i "l / "Intermediate Image - PR EME D4 Object lens. It is located 6.0 cm to the COM The image formed by the 1st lens becomes the object for the 2 d 2 o2 1 -3.0cm -6.0cm ED4 - PR EM do2 (-6.0cm) COM 2 MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. mT = m 1 m 2 =(-1.0)(-1.0) PRE -1 1 11. f COM c) di2 = - PR EM -1 ED4 11. RIGHT of the 2nd lens. It is a VIRTUAL OBJECT for that lens and so dQ2 = -6.0cm. = -6.0 cm The image is virtual and so will be on the left of the lens. The image is inverted w.r.t. (virtual) object, and life-size. The final image is upright w.r.t. the LED and the same size (0.30cm) OM 1.C D41 - PR EME OM Physics 102 - PR EME D41 1.C FORMULAE SHEET e - 1.60 x IQ~lgC, k = 8.99 x 10*JVm2/C72 *2 D41 1.C OM me = 9.11 x W~3lkg, IkWh = 3.6 x 106 J, If _ \ p\i = - PR EME leV = 1.60 x 10~19 J, JL. D41 1.C OM j, 2 e0 = ~ = 8.85 x 10 -i2C2/Nm - PR EME V =— So COM Q = A# + ACT, QV CV2 = —, 2e0 AF = Q2 e0E2 - PR EME D4 11. v' c = -, e0 1 —, ' 1 I= A7 1 11. COM ___-+- - PR EME D4 i = ^- + ^ - COM 9= sin6, r = NIABsin9, fj,Q = 4?r x 10~7 COM - PR EM ED4 11. \q\vB, 2?r — ED4 11. 5= - PR EM JL AJ r=- B ' ~ 9 /// Q ' ZA - PR EM 9 A ED4 B 11. COM A$B fc =- , E = cB, c= = 3.00 x 10V/5, COM = J3o s in(&z — w f), Ei2 11. D2 - PR EM ED4 11. COM - PR EM ED4 1 -\f = c PRE MED 411 .CO MPRE M ED4 11. COM sn 1 = 7Z2 s n 0 di n -' j —, "i — = T" + ~ T) J/i/2 n "7 / OM 1.C D41 - PR EME Physics 102 FORM 0 - PR EME D41 1.C OM - PR EME D41 1.C OM [l] The area of a rectangular loop of wire is 6.4 x 10~3 m 2 . The loop is placed in a magnetic field t hat changes from 0.20 T to 1.2 T in 1.6 s. The plane of the loop is perpendicular to the direction of the magnetic field. W hat is the magnitude of the i nduced emf in t hat loop? ^-, 3 [A] 2.1 x 10~ V f[B]J4.0 x 10~3 V [C] 6.7 x 10~3 V [D] 8.4 x 10"3 V 3 [E] 9.8 x I D" V ^ - PR EME D41 1.C OM [2] A circular coil with 600 t urns has a radius of 15 cm. The coil is rotating about an axis perpendicular to a magnetic field of 0.020 T. If the maximum induced emf in the coil is 1.6 V, at what angular speed is the coil rotating? [A] 0.30 r ad/s [B] 0.60 r ad/s [C] 0.90 r ad/s [D] 1.4 r ad/s ([E])l.9 rad/s - PR EME D4 11. COM [3] A 25-mH i nductor is connected in series with a 20-0 resistor, through a 15-V DC power supply and a switch. If the switch is closed at t = 0 s, w hat is the current after 0.70 s? [A] 120 mA [B] 280 mA [C] 450 mA [D] 570 mA (®)750 mA - PR EME D4 11. COM [4] According to the little metal plate on a hair dryer, it is r ated at 120 Vrms and an average power of 1500 W. Assuming the load to be purely resistive, what is the maximum value of current in the dryer? _^ [A] 12.5 A [B] 14.1 A (fcj)l7.7 A [D] 25.0 A [E] 35.3 A COM [5] An electromagnetic wave is propagating towards the west. At a certain moment the direction of the magnetic field vector associated with the wave points vertically up. What ''ie direction of trhe electric-field v ector? [B] Vertical and p ointing down Horizontal and pointing south [D] Vertical and pointing up Horizontal and pointing north [E] Horizontal and pointing east COM - PR EM ED4 11. f COM - PR EM ED4 11. [6] An 8.00-mW (average power) laser beam emits a cylindrical beam of light, 0.900 mm in diameter. What is the rms value of the electric field in t his beam? _ [A] 412 N/C [B] 1000 N/C [C] 1090 N/C [D] 2000 N/C ([Ej) 2180 N/C - PR EM ED4 11. [7] A convex mirror has a radius of curvature of R = 1 meter. An object is placed at a distance of(3.5 meters in front of the mirror. What is the image distance? (JA])-0.25 m [B] 0.25 m [C] -0.5 m [D] 0.5 m [E] 1 m 11. COM - PR EM ED4 11. COM [8] An optical device produces an upright virtual image t hat is reduced in size. What could this optical device be? [A] convex mirror or convex lens {LBJjconvex mirror or concave lens [0] concave mirror or convex lens [D] concave mirror or concave lens [E] plane mirror PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 [9] A convex lens forms a real, enlarged image. If the object distance is 2.0 meters and the image distance is 3-0 meters, what is the focal length and the magnification? [A] -1.2 meters, -1.5 [B] -1.2 meters, 1.5 | jCj>1.2 meters, -1.5 [D] 1.2 meters, 1.5 [E] none of these OM 1.C D41 - PR EME Physics 102 FORM 0 - PR EME D41 1.C OM - PR EME D41 1.C OM [10] A nearsighted person has a far point t hat is 52 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 [B] -0.5 [C] 0.5 (j]DJ)-2 [E] 2 - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM [ll] The p icture below shows a zero-resistance rod of mass m = 0.10 kg sliding, due to gravity, downward on two zero-resistance rails separated by the distance L = 0.20 m. The rails are connected by a resistor R = 0.10 f i, and the entire system is in a perpendicular uniform magnetic field with a magnitude B = 0.50 T, pointing out of the plane. Assume t hat the velocity v of the rod has reached an equilibrium constant value, and find (taking g — 10 m /s 2 , and ignoring the effect of air resistance) (a) the magnitude and direction of the magnetic force acting on the rod under such an equilibrium; (b) the magnitude and direction (clockwise or counterclockwise) of the induced current in the circuit; (c) the magnitude of the induced emf in the circuit; (d) the equilibrium speed v of the rod. ••> s vvvv ' V""1 f/ ^ © © v ©I ,^,^«^, «4*, «-^ m © v © x, ® © \ ©©© © w wm e COM T 11. COM - PR EM ED4 11. © 0 0/K. © © - io-o.lt>V= U >IA - PR EM ED4 11. COM - PR EM ED4 tx PRE MED 411 .CO MPRE M ED4 11. COM 7 r ~ -b__ 6L ui, OM 1.C D41 - PR EME FORM 1 OM Physics 102 D41 1.C OM - PR EME D41 1.C [12] An uupolarized light source with an i ntensity I0 is incident on a polarizer A. (a) Find the relative orientation of a second polarizer (polarizer B) such that the t ransmitted intensity through it is Jo/10. (b) Find the relative orientation of a t hird polarizer (polarizer C) w ith respect to polarizer A such t hat no light is t ransmitted through polarizer C. Assume t hat polarizer B is between polarizers A and C. TD (S - PR EME D4 11. COM Tit) so To TVV1- JO Co<MLtC\ - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME (c) Now you are challenged to maximize the t ransmitted intensity of all three polarizers by rotating polarizer B to some angle Q with respect to polarizer A. Using the results from above, write down an expression for the total transmitted intensity through polarizer C in terms of this 9. You don't have to solve for the d t hat m aximizes the intensity. TD ED4 11. COM - PR EM ED4 11. COM A ls, _ PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM - C— S -O =^> OM 1.C D41 - PR EME OM Physics 102 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C [13] A ray of light travels through air (index of refraction n i) and strikes a plane mirror that has a glass coating with an index of r efraction n^ > ni and a thickness t. The angle of incidence is 6 and it strikes the glass at a height h above the ground. The ray is subsequently refracted, reflected and refracted before it hits the ground a distance d away from the mirror. Find the distance d in terms of the above parameters. Steps: (1) Find the angle of refraction as the ray penetrates the glass. (2) Find the angle of reflection from, the mirror. (3) Find the angle of refraction as the ray leaves the glass. (4) Use trigonometry to find d. 6 b 0\\ OM 1.C D41 - PR EME Physics 102 F ORM 0 - PR EME D41 1.C OM FORMULAE SHEET me = 9.11 x 1(T31%, k = 8.99 X l09Nm2/C2 1.C OM e = 1.60 x lO"19^ IkWh = 3.6 x 106 J. e0 = — = 8.85 x !Q-i:iC*/Nm? D41 leV = 1.60 x 10~19J, OM - PR EME 4:TTK 1.C €Q Wnc = AJT + AZ7, COM 2 2 - PR EME D4 11. ' WE 2 C' COM 11. - PR EME D4 Ai i 2 .. q = Q^p(-t/r), COM T //0 = 4?r x 10~7 ED4 11. T =~NIAB sinQ, N/J.Q! r> - ~ 2^"' £ = vBl. (coil) £ = NABu> sino^i, ' . rN -- (solenoid) u — 2-n-f = — T ~R COM T= - PR EM ED4 11. = ~ tt J=l A - PR EM COM 11. :——, At r- ' - PR EM ED4 £= V= . .., J=|«p(-f/T)J (long)' ?, ^ -nlCo ..., - = - TV K = -"' -T*R = -5-. ^ = ^ p= ^0 AT^ = -EAs, - PR EME = - g 0 AV, go ^ ^Q D41 UB k = -^-, E — cB, c= _ = 3.00 x 10Bm/s, \f = c ED4 - PR EM f J ~ 7 ( 1 4. - I, = f (1 ± \ c ,, UB -UE, : u= 11. COM / "• 70 - -—7E=Ep 27r\/LC 11. COM E 0 sin(ife2: - w f), PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 f--4-R J — ^0 ) ) 0 2 111 j ~ 3~~T5 j ~5 da di f hi di m = — — — — ,, — h0 d0 c v — — ,, — ra -7 = ^" + "T' J A /2 — :Z? X vac n =T J PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #8 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 28 - PR EME D4 11. COM Suggested Problems: 1, 3, 9, 13, 17, 21, 25, 33, 36, 37, 39, 43, 47, 53, 57, 61, 63 ED4 11. COM Problems to be submitted on April 1, 2008: - PR EM ED4 11. COM - PR EM 4, 22, 30, 32, 44, 52, 64 - PR EM ED4 11. COM Chapter 29 COM - PR EM ED4 11. COM Suggested Problems: 1, 3, 9, 15, 19, 25, 27 .CO MPRE M ED4 11. COM - PR EM ED4 11. Problems to be submitted on April 1, 2008: 8, 10, 26 PRE MED 411 File translated from TEX by TTH, version 3.40. http://www.physics.miami.edu/ashkenazi/102/hw8.htm (1 of 2) [5/10/2008 3:00:29 PM] PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 OM On 15 Mar 2008, 10:33. 1.C PHYSICS 102 --- SPRING 2008 http://www.physics.miami.edu/ashkenazi/102/hw8.htm (2 of 2) [5/10/2008 3:00:29 PM] PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #9 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 29 - PR EME D4 11. COM Suggested Problems: 31, 32, 35, 41, 43, 49, 51, 53, 55, 57, 63, 64, 84 - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on April 10, 2008: 36, 46, 56, 58 - PR EM ED4 11. COM Chapter 30 - PR EM ED4 11. COM Suggested Problems: 1, 3, 7, 11, 15, 17, 19, 23, 25, 31, 35, 41, 43, 47, 51, 53, 55, 57, 61, 63, 65, 67 MPRE M ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on April 10, 2008: 6, 28, 36, 46, 54, 66, 68 PRE MED 411 .CO File translated from TEX by TTH, version 3.40. On 27 Mar 2008, 09:51. http://www.physics.miami.edu/ashkenazi/102/hw9.htm [5/10/2008 3:00:30 PM] OM 1.C D41 - PR EME OM Physics 102 D41 1.C OM - PR EME D41 1.C [l] The distance between the slits in a two-slit experiment is 1.9 x 10~5 m. A beam of light of wavelength 620 nm is used and the distance between the slit and the screen is 2.0 m. What is the distance on the screen between the central bright fringe and the 4th order bright fringe? _^ [A] 0.13 m [B] 0.20 m M C])0.26 m [D] 0.37 m [E] 0.53 m D41 1.C OM - PR EME [2] What is the minimal non-zero thickness of a soap bubble (n — 1.42) t hat results in a constructive interference in the reflected light if this film is illuminated (at normal incidence) by a beam of light of wavelength 601 nm? (jAJ}l06nm [B] 159 nm [C] 212 nm [D] 318 nm [E] 423 nm COM - PR EME D4 11. COM - PR EME [3] You are given two d iffraction gratings, one w ith 5500 lines per cm, and the other with 6700 lines per cm. In order to obtain the maximum possible dispersion you would use [A] the 5500 lines per cm g rating, ( TBVthe 6700 lines per cm g rating, [C] b oth gratings produce the same dispersion. [D] Dispersion cannot be defined when diffraction gratings are employed. [E] None of the above. - PR EM ED4 11. COM - PR EME D4 11. [4] A pion is an unstable particle t hat has an average lifetime of 2.55 X 10~8 s. This is the time interval between its creation in a nuclear process and its extinction into decay products, as measured in a f rame of reference at rest with respect to the pion. An "average" pion is traveling at speed 0.310c relative to E arth. How far does it travel in its lifetime, relative to E arth? [A] 2.07 m [B] 2.25 m [C] 2.37 m /[D])2.49 m [E] 3.22 m - PR EM ED4 11. COM [5] Two spaceships approach Earth from opposite directions. One at a speed of 0.21c, and the other at a speed of 0.34c, both relative to E arth. What is the speed of one spaceship relative t o the o ther? [A] 0.41c [B] 0.45c f[c])o.51c [D] 0.55c [E] 0.58c ED4 11. COM [6] W hat mass would have to be condensed to a radius of 1.0 X 10 15 m ( the order of magnitude of the radius of an atomic nucleus) in order for it to become a black hole? G = 6.67 x 1Q-11 N m 2 /kg 2 . 4.1 x 10~8 kg [B] 5.6 x I D" 3 kg [C] 75 kg [D] 2.2 x 108 kg 6.7 x 1011 kg COM - PR EM § - PR EM ED4 11. [7] The t emperature at which an object will no longer give off blackbody radiation is [A] -100°C [B] -32°F [C] 0°C [D] 273 K (^unattainable 11. COM [8] Light w ith a wavelength of 310 nm is incident on a metal that has a work f unction of 3.8 eV. What is the maximum kinetic energy t hat a photoelectron ejected in this process can have? PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 [A] 0.21 x 10~19 3 [B] 0.91 x 10-19 3 ([B])0.33 x 10~19 3 ^-^ [C] 0.48 x 10~19 3 [D] 0.62 x 10~19 3 OM 1.C D41 - PR EME 1.C OM Physics 102 1.C OM - PR EME D41 [9] A certain photon after being scattered from a free electron at rest moves at an angle of 120° with respect to the incident direction. If the wavelength of the incident photon is 0.611 nm, what is the wavelength of the s catterednhoton? [A] 0 nm [B] 0.380 nm [C] 0.611 nm (|D])o.615 nm [E] 0.619 nm - PR EME D41 1.C OM - PR EME D41 [10] A certain crystal has an interatomic spacing of 0.442 nm. A beam of neutrons (mn = 1.675 X 10~27 kg) moving with a speed of 1640 m/s is diffracted from the crystal. What is the de Broglie wavelength of the neutron? [A] 0 nm [B] 0.121 nm [C] 0.199 nm ('0)0.241 nm [E] 0.484 nm ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM [11] Assume that the angular l imit of resolution ( # m in) of the human eye is determined only by diffraction and that the medium in the eye is air (n^T = 1.000). Take the pupil diameter' to be wide open at 8.00 Trim and Avac = 550 nm. (a) Compute this angular limit of resolution. (b) How far apart will two points be if they are j ust able to be distinguished separately at a distance of 25 cm from the eye? (c) Recalculate 0mm) for the actual case that the eye is filled with the vitreous humor (n v h = 1.337). " PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM Y\ OM 1.C D41 - PR EME 1.C OM Physics 102 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [12] An object with a rest mass of 200 kg and a speed of O .SOOc and another object with a rest mass of 100 kg and a speed of 0.600c are travelling toward each other in deep space. The two o bjects collide and stick to each other. (a) Find the total relativistic energy of the two-object system in k g-c 2 units. (b) Find the magnitude of the t otal relativistic momentum of the two-object system in k g-c units. (c) What is the rest mass, in kg u nits, of the combined object after the collision? (Hint: assume the conservation of the total energy and momentum in the collision, and use the formula: E2 = E\ + p 2 c 2 for the energy and momentum of the combined object.) OM 1.C D41 - PR EME 1.C OM Physics 102 .h 4 A xAp> — 4;c - PR EME v ¥ V—*V K = —- = — — zm, zm. c c -» COM ~\ a) D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [13] An electron is confined to a "box" that is 1.0 X 10~10 m in diameter. (a) Use the U ncertainty Principle to estimate the kinetic energy of this electron, assuming that the electron's momentum is approximately the same as the uncertainty in its momentum. (Ignore relativistic effects.) (b) Estimate the minimum lifetime of an unstable particle, assuming that the uncertainty in its energy is the same as the kinetic energy that you found in part (a). - PR EME D4 11. COM - PR EME D4 11. Ap> f 6.626 x l(T 34 J-s) Ap>^—. -2 10 4«(l.OxlO" m) Ap>5.3xlO" 2 5 kg-m/s 11. COM - PR EM ED4 11. COM (5.3xlO- 25 kg-m/sf = i—7 —f- = 1.5xlO"19J 31 2(9.11 x lO" kgj AEAt > — ED4 b) - PR EM 471 ( 6.626xlO~ 34 J-s) At> >±—7 ^ 47tAE 4 7t(l.5xlO- 19 j) PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM h h OM 1.C D41 - PR EME 1.C OM Physics 102 OM - PR EME D41 FORMULAE SHEET me = 9.11 x lO"31^, k = 8.99 x W9Nm2/C2 - PR EME D41 1.C e = 1.60 x 10~19C, IkWh = 3.6 x 106 J, e0 = -^- = 8.85 x lQ-12C2/Nm2 47Tfc D41 1.C OM leV = 1.60 x 10~19 J, *F * <5 P , E = — , £ = — = -— - PR EME WE = g0Ed = -g0AV, e0 2e0 Wnc = AK + AU, AV = - 11. COM = —, <?o e0 - = \q\vB, F = UBsm9, £ = vBl, k=-^-, - PR EME D4 E = E0sin(kx -ut), 11. COM £- -- ——, T = NIABsin0, - PR EME D4 t £ = NABusinut, E = cB, F c= u> = 2Trf= — = 3.00 x 108m/.s, _ A/ = c I Ap R o /' 1 J a0 ED4 J— " ») - PR EM ' 11. COM U /x0 = 4vr x 1 J di 1 jx ' hi "n i 0 — di j a0 ' ~ c n' n ~ Ava n - PR EM ED4 11. COM dsinO =TOA, TO = 0,1, 2 . . . , W sin 6 =TOA , m = 1 , 2 . . . , 0m-in ~ 1.22-^, ^ ~ s in0 ? (double slit, grating, bright) (single slit, dark) (resolution) / brightx U ark J / dark \ ( bright) 11. COM (thin milm n i < n < n 2 or n i > n > r a 2 \ f l l m n m ) n!<n>n3 o r m >n<n a j ED4 - PR EM / yl — u 2 /c 2 -, , TTlgV , c* ED4 11. COM t?l -f- Cj v= - PR EM i = 6.626 x 10~34J 5 = 4.135 x 10~15eF s = 1240 eV F h C A COM - PR EM = — = -, PRE MED 411 .CO MPRE M ED4 11. AdB = -, p c , ^ = — = 1.054 x 10~34J 2?r ^ = 5.88 x lO^s"1^"1, 11. COM = 2.898 x 10~3m • K, ED4 pr nm hf = hf' + K, 2 dsin0 = m A, Y - A = Ac(l-cos0), A p x Ax > -, 2 h Ac = - = 2 .426pm 77leC AEAt>2 OM 1.C D41 - PR EME Physics 102 FORM 0 - PR EME D41 1.C OM [l] In a single-slit diffraction experiment, a beam of monochromatic light passes through a slit of width 16.0 fj,m. If the second dark fringe of the resulting diffraction p attern is at an angle of 4.31°, what is the wavelength of the light? [A] 301 nm [B] 413 nm (W)601 nm [D] 720 nm [E] 827 nm - PR EME D41 1.C OM - PR EME D41 1.C OM [2] A spy satellite is in orbit at a distance of 5.0 X 105 m above the ground. It carries a telescope t hat 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. QBj;It is greater than 0.26 m. [C] It is less than 0.52 m. [D] It is greater than 0.52 m. [E] It is less t han 1.4 m. - PR EME D4 11. COM [3] What is the slit spacing of a diffraction grating necessary for a 600 nm light to have a first-order principal maximum at 25.0°? U])1.42 fim [B] 2.01 /zm [C] 3.12 /xm [D] 4.12 pm [E] 5.44 fan. - PR EME D4 11. COM [4] A spaceship, traveling at O .lOOc away from a stationary enemy station, shoots a projectile towards the station with a speed of 0.560c relative to the spaceship. What is the speed of the projectile relative to the s tation? [A] 0.460c (JBj)0.487c [C] 0.492c [D] 0.625c [E] 0.660c - PR EM ED4 11. COM [5] A satellite, initially at rest in deep space, separates into two pieces which move away from each other. One-piece has a rest mass of 190 kg and moves away with a speed of 0.280c, and the second piece moves in the opposite direction with a speed of 0.600c. What is the rest mass of the second piece? __ [A] 42.4 kg [B] 52.7 kg [C] 68.8 kg (13)73.9 kg [E] 88.7 kg - PR EM ED4 11. COM [6] A space tow barge pushes on a spaceship with a rest mass of 15,000 kg and accelerates it from a speed of 0.600c to a speed of 0.700c. How much work does the tow barge have to do to accomplish this? [A] 8.78 x 1019 J [B] 1.35 x 1020 J (fcfo.OS x 1020 J [D] 2.70 x 1020 J ^-^ 11. COM [E] 5.42 x 1020 J - PR EM ED4 [7] If you approximate yourself as a blackbody emitter and you don't have a fever, what is the peak f requency of your emission? [B] 5.8 x 1012 Hz [C] 6.3 x 1012 Hz [D] 9.7 x 1012 Hz ED4 11. COM 2.2 x 1012 Hz 1013 Hz 11. COM - PR EM [8] An x-ray photon with an energy of 1.00 X 10~15 J travels in the +x direction and is incident on a free electron that is at rest at the origin. The photon is scattered in the — y direction. What is the f requency of the scattered photon? ~^ 17 17 17 [A] 1.49 x 10 Hz [B] 1.50 x 10 Hz [C] 1.51 x 10 Hz nD])l.49 x 1018 Hz PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 [E] 1.51 x 1018 Hz OM 1.C D41 - PR EME Physics 102 FORM 0 1.C OM - PR EME D41 1.C OM [9] A large collection of non-relativistic electrons has a mean kinetic energy of 1.0 eV w ith a corresponding spread/uncertainty in their momenta of 10%. What is the corresponding minimum spread/uncertainty in their positions? (OlxlO™9m [B] 5 x 10~9 m [C] 1 x 10~8 m [D] 3 x 10~8 m 7 Ej 2 X 1 0~ m PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 [10] The line emission in the excited gases that you observed through the d iffraction gratings during class is due to the excited constituent atoms decaying back to their ground state. The lifetime of these transitions is typically 10~7 seconds. Use the Heisenberg Uncertainty Principle to compute the corresponding minimum spread/uncertainty in the energy of the excited state. This spread in energy gives rise to the finite width of the emission line. JAJ 5 X 10~28 eV [B] 1 x 10~27 eV [C] 3 x 10~27 eV [D] 1 x 10~9 eV 9 (tip X 10- eV OM 1.C D41 - PR EME Physics 102 t'l - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [11] Two glass plates (in air) are separated by parallel fine wires, separated by a distance of 7.50 cm, as shown. The first wire, at x = 0, has a diameter ^ = 0.0400 m m, and the second wire, at x = 7.50 cm, has a diameter d2 = 0.0415 mm. Monochromatic light of wavelength A = 600 nm is incident from above. (a) Consider interference between light reflected from the b ottom 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 x for which the interference is destructive. (c) What is the horizontal distance (thus along the z-axis) between adjacent dark bands in the reflected light? x [cm] 7.50 - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM o.oo PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM (c) 2. - 0( OM 1.C D41 - PR EME hysics 102 OM 1.C D41 - PR EME OM 1.C COM - PR EME D41 (Albert^ 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. H (IV) MED \^\ ^^ [t>) - PR EME D41 1.C OM [12] Max and Albert are identical twins. On their 18t!l birthday, Albert takes off on an O utward Bound spaceship expedition traveling in the z-direction at a speed of 4c/5 with respect to Earth. Max stays on Earth and attends the University of Miami. A fter 3.0 years on Albert's watch/calendar, Albert's Outward Bound spaceship reverses direction and heads back to Earth on the same path at a speed of 4c/5. (a) What is the age difference between Albert and Max once Albert returns to Earth (who is older)? (b) In Albert's frame of reference, his spaceship is 100 m long as measured along the xdirection. How long does Max measure the spaceship to be in the z-direction? (c) According to Max, what f raction.of the spaceship's total relativistic energy (during its travel) is relativistic kinetic energy? PRE £3) FORM 1 OM 1.C D41 - PR EME Physics 102 FORM 0 COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [13] A gamma ray photon of energy E propagates in the +x direction and collides with an identical gamma ray photon (also of energy E) traveling in the — x direction. Since parts (b) and (c) depend on your answer for part ( a), it is suggested that you express your answers for parts (b) and (c) in terms of E, before evaluating numerical results. This way appropriate credit could be given on p arts (b) and (c) even if your answer for part (a) is wrong. (a) What is the minimum energy of each of these photons such t hat they produce a positronelectron pair? (Hint: the minimum energy results in a positron and an electron that are at rest.) (b) An x-ray with 1/100,000 the energy of the above gamma ray is incident on a gold surface with a work f unction of 4.58 eV. What is the the maximum kinetic energy (in eV) of the ejected photoelectron? (c) What is the de Broglie wavelength (in m eters) of the ejected electron t hat has the maximum kinetic energy found in part ( b)? (Hint: the ejected electron is NOT moving at relativistic speeds, and be careful w ith units! It is suggested to express the electron energy and mass, in the formula you use, either in Joule and kg u nits, or in eV and eV/c2 units.) - PR EM ED4 11. COM - PR EME D4 11. Use- - MJ PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM / 00,000 - few /°°?00 OM 1.C D41 FORM 0 - PR EME Physics 102 - PR EME D41 1.C OM FORMULAE SHEET me = 9.11 x 10~31^ = 0.511MeF/c2, OM e = 1.60 x lO"19^ D41 e0 = — - PR EME L r2 ' go' ' 2e0' e0 ' ^-* e0 4eo fcg , - PR EME D41 1.C C/jg = 8.85 x lQ-l2C2/Nm2 4?TK OM r2 lkWh = 3.Q x 106J, 1.C leV = 1.60 x 10~19 J, k = 8.99 x WgNm2/C2 lir = ^-, E = cB, COM k E = E0sin(kx -uJt), - PR EME D4 o» Ap I J0 c jr> / '"i » -^vac / \« — T? — — . J a0 ' «0 Ti n d sin^ = (m + 1 /2)A, m = 0 , l , 2 . . . (double slit, dark) - PR EM —— COM \f = c (resolution) r ^' SI Tt I L - PR EM ED4 11. (single slit, d ark) = 3.00 X 108rra/.s, _ 11. COM j 1 c= ED4 GO ,2..., (double slit, grating, bright) ' F 11. U j - PR EME D4 —-— , Z_i Z 11. COM H, ,-7 r ™ a n = 4?r X 10 —— » COM (thin film, L= L n \ / l — U ^ / C ^ , q - PR EM p £- ' O — , A/1 - t ) 2 /C 2 JT P P K = E - E0, D= P2 E =p2 0+pc, E , 22 11. COM = "i0c2 , -. c •Ua,. = -— . 2 ED4 11. , - PR EM ED4 = 6.626 x 10~S4J s = 4.135 x 10~15eF s = 1 2 4 0 , H = — = 1.054 x 1 0~ 34 J s c 2?r = 5.88 x lO10*"1^1, ^max = hf - W0 , ^ = hf MED 411 .CO MPRE M ED4 11. COM ~, 2m PRE A ' - A = A c (l-cos0), ED4 hf = hf' + K, - PR EM p= — = -, c A 11. COM - 2.898 x 1 0" 3 m-^, , s -, 2 > 2 AC = - = 2 .426pm, m ec m A dB = - . T - 273.15 K = Tc = (Tp - 3 2°) . . c '•'•' '; PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #10 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 31 - PR EME D4 11. COM Suggested Problems: 1, 2, 3, 9, 13, 17, 21, 23, 29, 31, 33, 35 COM - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on April 17, 2008: 4, 10, 20, 22, 30, 34, 36 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. File translated from TEX by TTH, version 3.40. On 10 Apr 2008, 11:57. http://www.physics.miami.edu/ashkenazi/102/hw10.htm [5/10/2008 3:00:47 PM] PHYSICS 102 --- SPRING 2008 - PR EME D41 1.C OM PHYSICS 102 - SPRING 2008 - PR EME D41 1.C OM Suggested Problems and Homework #11 D41 1.C OM Drs. J. Ashkenazi, J. Gundersen - PR EME D41 1.C OM - PR EME G. Ghandour, N. Johnson - PR EME D4 11. COM Chapter 31 - PR EME D4 11. COM Suggested Problems: 40, 41, 45, 47, 49, 50, 51, 53, 55 - PR EM ED4 11. COM - PR EM ED4 11. COM Problems to be submitted on April 24, 2008: 44, 46, 54, 56 - PR EM ED4 11. COM Chapter 32 11. COM Suggested Problems: 11. COM - PR EM ED4 1, 3, 7, 9, 13, 17, 19, 23, 27, 29, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 Problems to be submitted on April 24, 2008: 10, 18, 30, 32 http://www.physics.miami.edu/ashkenazi/102/hw11.htm (1 of 2) [5/10/2008 3:00:48 PM] PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME 1.C OM File translated from TEX by TTH, version 3.40. On 14 Apr 2008, 10:56. D41 PHYSICS 102 --- SPRING 2008 http://www.physics.miami.edu/ashkenazi/102/hw11.htm (2 of 2) [5/10/2008 3:00:48 PM] OM 1.C D41 - PR EME Physics 102 OM - PR EME D41 1.C OM [1] The potential difference between the plates of a parallel plate capacitor is 40 V, and the electric field between the plates has a strength of 800 V/m. If the plate area is 0.040 m 2 , what is the capacitance of this capacitor? [A] 7.1 x 10-149 F [B] 7.1 x 10-13 F (fc])7.1 x 10~12 F [D] 7.1 x 10"11 F [E] 7.1 x ID" F ^ - PR EME D41 1.C [2] A simple circuit has a total resistance of 20 ft. If a 2.0-A current is maintained in this circuit, how much energy is dissipated in the circuit in 4.0 seconds? [A] 3.2 J [B] 16 J [C] 32 J [D] 160 J f[E]\320 J COM - PR EME D41 1.C OM [3] Three capacitors are connected as shown in the figure. What is the equivalent A • capacitance between points A and B? -* 1 j T 1 I -tJUT ~p ! ' 11. L<JJ 8.0 /iF 2fiF 1| - PR EME D4 [D] 9.6 [J.F [E] 12 uF . . . - PR EM ED4 11. COM - PR EME D4 11. COM [4] Two particles move through a uniform magnetic field . . . . „ . that is directed out of the plane. The figure shows the B ' paths taken by the two particles as they move through * * * * / ' * the f ield. The particles a re not subject t o any other . . . / ' . forces orfields.Which one of the following statements ^ ' concerning these particles is true? •--••"^ . . . /. [A] The particles are both neutral. ' [B] Particle 1 is positively charged; 2 is negative. Particle 1 is positively charged; 2 is positive. Particle 1 is negatively charged; 2 is negative. Particle 1 is negatively charged; 2 is positive. - PR EM ED4 11. COM § ED4 11. COM [5] A square coil, 5.0 cm on a side, has 100 turns. When the coil is placed in a magnetic field of 0.40 T, its maximum t orque is measured to be 0.25 N -m. The current in the coil is [A] 0.01 A [B] 0.125 A (Jc])2.5 A [D] 10 A [E] impossible to determine - PR EM ED4 11. COM - PR EM [6] An AC source delivers an average power of 600 watts. If the rms current in the primary of a transformer which has JVp - 60 is 3.0 A, what must be the number of turns in the secondary if it has to deliver (ideally) an rms voltage of 50 volts to the secondary of the transformer? [A] 10 @15 [C] 30 [D] 120 [E] 240 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM [7] Today it is possible to directly measure the frequencies of electromagnetic oscillations up to about 500 MHz. That corresponds to a wavelength of (fAj)0.6 m [B] 0.6 cm [C] 6 m [D] 6 cm [E] none of these 1.C OM Physics 102 D41 1.C OM - PR EME D41 [8] A concave makeup mirror magnifies, by a f actor of 2, the face of anyone looking into it from a distance of 25 cm. The image is, of course, right-side up. The mirror's focal length must therefore be [A] 5 cm (JBJ)50 cm [C] 500 cm [D] 5000 cm [E] none of these 1.C OM - PR EME [9] On entering a certain medium, a ray of light slows down to 0.850c. The index of refraction for this medium is [A] 0.72 [B] 0.85 ([C])l.l8 [D] 1.9 [E] impossible to determine D41 1.C OM - PR EME D41 [10] A scuba diver is 10 m below the surface of a lake (n = 1.33) and t urns on his flashlight which emits light in all directions. On the surface of the lake, the area is illuminated in a circle. What is the radius of this circle? [A] 8.8 m (Tihll.4 m [C] 22.8 m [D] 17.5 m [E] insufficient information - PR EME D4 11. COM - PR EME [11] Monochromatic light is incident upon two slits 0.180 mm apart. The resulting interference pattern is observed on a screen 1.65 m away. If the spacing between minima is 5.00 m m, the wavelength of the light is: [A] 475 nm f[B])545 nm [C] 582 nm [D] 633 nm [E] 652 nm - PR EME D4 11. COM [12] Light of wavelength AQ in vacuum strikes a lens, of index of refraction HI — 1.6, which is coated with a film of thickness d and index of refraction nf — 1.3. For which condition can there be no reflection? (Hint: look for the first dark spot?) [A]2<f=A0/1.3 [B]2d=A0/1.6 [C]2d=\0/2 f[DJ)2<f = A 0 /2.6 [E] 2d = A o/3.2 ^-^ - PR EM ED4 11. COM [13] An astronaut is traveling at 0.75c. His ship's chronometer indicates that he is 5.0 hours into the mission. How much time h aspassed at Kennedy Space Center? [A] 2.0 hours [B] 3.31 hours (tc])7.56 hours [D] 10 hours [E] 13 hours [C] 4.5 x 1015 Hz (JDj)4.84 x 1018 Hz COM - PR EM [A] 77.4 £) [B] 310 n [E] 3 x 1037 Hz ED4 11. COM [14] An electron flies across an X-ray tube, through a potential difference of 20 kV. It crashes into a metal target in a head-on collision and emits a single photon. The maximum frequency of this photon is - PR EM ED4 11. [15] What is the de Broglie wavelength of an electron that has been accelerated through a potential difference of 200 V? [A] 1.4 x 10-29 m [B] 6.1 fm [C] 86.7 fm (0)86.7 pm [E] none of these - PR EM ED4 11. COM [16] Determine the energy of the photon emitted when the electron in a hydrogen atom undergoes a transition from the n = 8 level to the n = 6 level. (JZ^O.17 eV [B] 0.21 eV [C] 0.36 eV [D] 0.57 eV [E] 13.4 eV PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM [17] Estimate the Ka (i.e. due to a transition from the L shell to the K shell) X-ray wavelength for a gold atom (Z = 79). [A] 2.47 x 10~13 m @2.00 x 10"11 m [C] 3.60 x lO"11 m 10 10 [D] 5.13 x 10~ m [E] 8.54 x lO" m D41 1.C OM Physics 102 1.C OM - PR EME [18] The nucleus of a particular isotope of beryllium contains 4 protons and 5 neutrons. Which nucleus has a radius that is approximately 3 times that of this isotope? [A] 2 fMg [ BlfjAl [ C]ljKr [ D] »|Ba (§)2*lPu 1.C OM - PR EME D41 [19] Radium—226 decays into radon—222 plus an alpha particle. How much energy is released in this process? The relevant mass values are: ro(^He) = 4.002603 u; m ( 2 ^Rn) = 222.017570 «; m(2||Ra) = 226.025402 u. [A] 3.55 MeV [B] 4.24 MeV ([c))4.87 MeV [D] 5.05 MeV [E] 5.39 MeV COM - PR EME D41 1.C OM - PR EME D41 [20] A sample contains 1000 nuclei of a radioactive isotope of barium. It is found that 60 s later, 970 nuclei in the sample have decayed. Determine the half-life of this isotope. [A] 10 s (151)12 s [C] 14 s [D] 16 s [E] 18 s 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. [22] A circular coil of wire has an area of 0.25 m2 and is immersed in a uniform perpendicular 0.40-T magnetic field. If the coil has 200 turns and a resistance of 5.0 f i, and is squashed to a zero area in 100 ms, how much power will be dissipated by the resistance? PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 5 = 200V At . 100xl(r3s D41 1.C OM Physics 102 - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME [21] A square of side a = 1.414 m is oriented in the zy-plane, as shown, and has point charges at its corners. The charges are +q at ( 0,0) and (a, a), and -2q at ( a,0) and ( 0,a), where q = 5.0 fj,C, as shown. (a) Find the electric field at the center of the square. (b) Find the electric potential (relative to infinity) at the center of the square. (c) How much work has to be done to bring a test charge q0 = — 2.0 /xC from very far away to the center of the square? (d) What is the net force exerted by the charges at all the corners on the test charge q0 when it is at the center of the square? - PR EM ED4 11. COM (<0 7 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM CO V - D41 1.C OM Physics 102 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME [23] A Klingon Bird-of-Prey takes off from the N orth Pole and travels at VKE = 0.8c relative to the Earth. At the same instant, a Romulan Warbird takes off from the South Pole and travels at URB = — 0.6c relative to the Earth. (They are obviously going in opposite directions with respect to the Earth.) (a) Make a drawing of this problem which clearly designates the coordinate system. (b) With respect to your drawing, clearly show which bodies are moving at which speeds. (c) At what speed are the two ships moving apart w ith respect to each other? In other words, find VKR. (d) If the Klingons fire a laser weapon at the Romulans, determine the speed of the laser beam, v b R , t hat the Romulan commander measures using the same equation as you used in part (c). Do NOT simply state a p ostulate or you will NOT receive any c redit! - PR EME D41 a/b) VKE = + 0.8c - PR EME D4 11. COM VRE = - 0.6c W +x - PR EME D4 11. COM -x COM c) Let v^g be the velocity of the Klingon ship with respect to Earth, and v^ the V + KE V E R = KE+(-VRE) - PR EM V v ED4 11. velocity of the Romulan ship with respect to Earth. The problem wants v^ . COM (VKE)(-VRE) 2 = (+0.8c) + (+0.6c) 1| 2 11. ED4 - PR EM 2 MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM C 11. - PR EM ED4 bK + VKR COM that of the beam with respect to the Klingons. PRE 2 I Ac =Q 1 + 0.48 c c c be the velocity of the beam with respect to the Romulans, and vbK d) Let vbR V (+0.8c)(+0.6c) = C 2 1.C OM Physics 102 ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [24] A part of the periodic table is presented on the following page, and the ground-state outer electron configurations of a few of the elements in it are indicated. This includes the.configurations of Mg ( 3s 2 ) and Fe ( 3d 6 4s 2 ). The complete ground-state electronic configuration of Fe is Is22.s22p63s23p63<£64.s2. (a) Find the complete ground-state electronic configuration of Mg, and list the values of the four quantum numbers (n, £, m^, m,) for each of the electrons in it. (b) Why would one conclude, on the basis of the electronic configuration of Fe, that the energy levels of the M (n — 3) and N (n = 4) shells cross each other in multi-electron atoms? (c) Complete in the table on the following page the ground-state outer electron configurations of all the presented elements. - PR EM ettje^ 4W^ ^^ / v /?/ ^ A1 ED4 11. COM - PR EM ED4 11. COM XJ COM ,:.1.01. is'--'" number ^ 11. 3-,. It 4i'Be .'6.94 3*w: • Outer electron configuration - PR EM ED4 .is.Ui' i*i5* llV.Na- 12vMg - 22:99 i' :;:24jl. "3sf '"' i1" ' " GROUP GROUP GROUP GROUP IGROUP GROUP vm ffl IV V VI 1 VH Transition elements - PR EM GROUP GROUpf I nI •!•- ff 1 He 4.00 IS* 5 B6 C7 N8 O9 F 10 Ne 10.81 16.00 19.00 20.18 12.01 14.01 2 2P if" *£! ^P5" 4£J 13 Al 14 Si 15 F 16 S 17 a 18 AT •Symbol 58.85- --Atomic ma ss 3<W L 26.98 V 28.09 ^ 30.97 32.07 !f! S£ 11. COM V1 19 K 20 Ca 21 Sc 22 H 23 V 24 Or 25 Mla 26 Fe 27 Co 28 Ni 29 Ca 30 Zn 31 Ga 32 Ge 33 As 34 Se 39.10 40.08 44.96 .47.88 ' 50.94 52 .00 54.9 t 55.85' 58.93 58.69 63.55 69.72 72.61 74.92 78.96 «?£?, 4S1 .fi : ,2 3i=4s2 . f t p 1 4pi £ ^Pf ¥^^ ^^ ywLMS*! w v,y PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 1 MSt 2rfS i^s- 35.45 39.95 *l* Jff 35 Br 36 Kr 79.90 83.80 yt 1PS D41 1.C OM Physics 102 1.C OM - PR EME FORMULAE SHEET I e = 1.60 x 10~19(7, me = 9.11 x I0~3lkg, - PR EME D41 k = 8.99 x IkWh = 3.6 x 106 J. e0 = — = 8.85 x 47TK D41 1.C OM leV = 1.60 x KT19J, ,4 - PR EME Ae0 , V= ~ V' r ' - PR EME D4 T' - PR EME D4 11. COM •" 11. Y.^S=EL 7 At COM J - PR EME D41 1.C OM V=—, go q= = 4?r x 10"7 - = \q\vB, (solenoid) = NABusinwt, = 2*/ = Y £ AI L 11. COM - PR EM A$ ~ - PR EM ED4 2' 11. COM c= = 3.00 x _•*! ED4 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM AU - PR EM P Mo ' U A N * / —-5-, ED4 11. COM - PR EM ED4 11. R I=-exp(-</r), K COM qvBsiu0, , ' T/ m s i ~ A/ = c D41 1.C OM Physics 102 2 d0 di sin Ol = 7i2 sin 02, - "^ _^»_ ^» H0 d0 1.C "^ f D41 J_ _ - PR EME /-_!_:? s in# c = — , t an# B = — , n ^= T T ~ TT + T~' 7/1/2 / - PR EME 0min w 1.22^, (resolution) ^~ i f li « i < n < n 2 or n ! > n > n 2 \ / brightx n i<71>n2 or n i > n < n j / dark ( dark J I brightJ bright COM in m m, _ 2 r L = L ovl — v /c*. 11. A, At = — . =, 2 v = -—- . 2 \ _ p= — l+t)i»2/C ' ? /Q 5 -^ P2 E!2 , 22 •& ~ -CSQ ~T P c •> r? 2 GM -K. = -z— - PR EME D4 11. COM - PR EME D4 - - PR EME D41 1.C OM , m = l,2..., (single slit, d ark) % _ _ ^vac d sinfl = (m (double slit, dark) D41 m = 0,l,2..., (double slit, grating, bright) C n "1 OM "1 1.C _. OM - PR EME FORMULAE SHEET II P V' T7 77? c 2?r ^ri- = 5.88 x lO10^"1^"1. r lfm« = / » / - W\0,}• JJJ.O.A. j j ^ = hf j p= — = -, hf = hf' + K, A " __ Sin , A' - A = A c ( l - c o s 0 ) , ft, - 771 , J)x Ac = 771eC = 2.426 h X _ -, _ h - COM a0 = --— = 0.0529 n m, meke2 En = -E0 — , n2 fee2 E0 = —- = 13.6 eV 2a0 - PR EM ED4 11. n2 r n = - = a0 — , mevn Z - PR EM ED4 dB - 11. COM C - PR EM ED4 11. AfP T = 2.898 x 10~3m • K,' /? , ft = — = 1.054 x 10~34J 5 COM A = 6.626 x 10~34J s = 4.135 x 10~15eF 3 = 1240 ^ = 0 ,1,. . . , 7 i - l ; m^ = 0, ±1, . . . , ±£; m. = ±Ju - PR EM ED4 11. COM 71 = 1 ,2,3,...; PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM = A mc 2 , 1 u = 1.6605 x 10 ^ = 931.5 M eF/c 2 , ^A = 6.022 x 10: '-At),t A = r—^, i = \^ In —' , ld = 3.70 x 101059 * / rt T) •*• JL i 2 A Jt OM 1.C D41 - PR EME Physics 102 FORM 0 D41 1.C OM [l] Two charges, Qi and Q 2 ) are separated by a certain distance R. If the magnitudes of the charges are doubled, and their separation is also doubled, then what happens to the electrical force between these charges? it remains the same [B] It is doubled [C] It is halved It is quadrupled [E] It decreases by a factor of 4 1.C OM - PR EME t D41 1.C OM - PR EME D41 [2] The electric potential at x = 2.00 m is +400 V, and at z = 10.0 m is -2000 V. What is the magnitude and direction of the electric field? [A] 200 V/m in the -z direction ([B))300 V/m in the +x direction [C] 400 V/m in the +x direction [D] 600 V/m in the -z direction [E] 800 V/m in the +x direction - PR EME i - PR EME D4 11. COM [3] The potential difference between the plates of a parallel plate capacitor is 40 V, and the electric field between the plates has a s trength of 800 V /m. If the plate area is 0.020 m 2 , what is the capacitance of this capacitor? [A] 5.7 x 10~14 F [B] 5.3 x 1Q-13 F /[CJ)3.5 x 10~12 F [D] 9.1 x lO"11 F [E] 2.1 x 10-9 F ^-^ - PR EME D4 11. COM [4] The length of a certain wire is doubled while the radius is halved. What is the change in the resistance of this wire? [A] It stays the same. [B] It is reduced by a f actor of 2. It is increased by a f actor of 4. [D] It is reduced by a factor of 6. It is increased by a f actor of 8. 11. COM § - PR EM ED4 [5] A 5.0 /zF capacitor is connected in series with a 3.0 kfl resistor across a 20-V DC source and an open switch. If the switch is closed at t = 0.0 s, what is the charge on the capacitor at t = 12 ms? 0C [B] 37% of the maximum charge [C] 45% of the maximum charge 55% of the maximum charge [E] 67% of the maximum charge - PR EM ED4 11. COM § - PR EM ED4 11. COM [6] A policeman pulls you over for running a red (A = 700 nm) light. You claim before the judge t hat, before you s topped, the light appeared green (A = 550 nm). How fast would you need to be moving toward the light for this to be true? Assume that the nonrelativistic expression on the formulae sheet is still valid. [A] 0.12c fli])0.27c [C] 0.39c [D] 0.52c [E] 0.78c PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM [7] Arrange the following forms of electromagnetic radiation in order of I NCREASING energy _per photon. ([A} radio, microwaves, infrared, visible, x-rays, gamma rays [B] radio, microwaves, infrared, visible, g amma rays, x-rays [C] microwaves, radio, infrared, visible, x-rays, g amma rays [D] radio, microwaves, visible, infrared, x-rays, gamma rays [E] gamma rays, x-rays, visible, infrared, radio, microwaves OM 1.C D41 - PR EME Physics 102 FORM 0 - PR EME D41 1.C OM [8] If you separately measure -Erms and Biras of an electromagnetic wave, how can these two quantities be combined to form a q uantity that is proportional to the average intensity? [A] ETjas/Btms [B] |£rms + Bims [C] (JSnn-B™,)1/2 (S) EimsBims OM \2 D41 1.C OM - PR EME D41 1.C [9] If the object distance (£)) equals the image distance, and if t hey are b oth in front of a particular spherical mirror, what is its radius, is the mirror convex or concave, and is the image upright or inverted? [A] 2/13, convex, upright [B] -D/2, convex, upright [C] - D/2, concave, inverted [D] D, concave, upright (|EpZ), concave, inverted - PR EME D4 11. COM - PR EME [10] In water, a red light (A = 656 nm) has an index of refraction of 1.331, a green light (A = 486 nm) has an index of refraction of 1.337, and a blue light (A = 397 nm) has an index of refraction of 1.344. Imagine shining each of these lights from the b ottom of a pool at some angle 9 from the vertical. Which of the following angles results in total internal reflection for two of the three lights? „_ [A] 48.00° [B] 48.20° [C] 48.40° f[D])48.600 [E] 48.80° - PR EME D4 11. COM [11] At what angle above the horizon would the sun have to be such t hat the rays that reflect off the ocean water (n=1.33) are maximally blocked by polarized sunglasses? [B] 41° [C] 45° [D] 49° [E] 53° - PR EM ED4 11. COM [12] A helium-neon laser (A = 633 nm) illuminates a pair of slits with a separation of 4.0 X 10~5 m. What is the angle to the third dark fringe above the central bright fringe? [A] 0.5° [B] 0.9° [C] 1.4° @)2.3° [E] 2.8° - PR EM ED4 11. COM [13] Sometimes the glass (n = 1.5) in eyeglasses is coated with an antireflection coating (n = 1.3) t hat produces destructive interference between the waves reflecting from the glass and the waves reflecting from the antireflection coating. What is the thickness of this layer such t hat yellow light (500 nm) at normal incidence is not reflected. [A] 83 nm @)96 nm [C] 125 nm [D] 192 nm [E] 250 nm 11. COM - PR EM ED4 11. COM [14] A particle initially at rest splits into two particles. The first particle has a mass mi and travels at a speed of u j = c /2. The second particle has a mass 7712 = rai/2. What is the speed of the second particle? [A] (S/?)1/^ ( Ji)(4/7) 1 / 2 c [C] ( 3/4) 1 / 2 c [D] the reaction is not allowed [E] not enough information is given - PR EM ED4 [15] The kinetic energy of a particle is equal to twice its rest energy. What is the particle's velocity? [B] (l/S)1/^ COM [A] ( l/Q) 1 /^ [C] (l/2}l/2c [D] (3/4Y/2c PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. [16] In a hydrogen atom, the electron makes a transition from the n — 8 to the n = 3 state. What is the wavelength of the emitted photon? [A] 3.1 x 10~Y m @9.6 x 10~7 m [C] 1.1 x 10~6 m [D] 3.3 x 10~6 m 6 [E] 4.5 X 10' m OM 1.C D41 - PR EME Physics 102 FORM 0 OM - PR EME D41 1.C OM [17] An electron in a hydrogen atom is described by the quantum numbers: n = 8 and mt — 4. What are the possible values for the orbital quantum numbers tl [A] only 0 or 4 [B] only 4 or 7 [C] only 5 or 8 /[5) only 4, 5, 6 or 7 [E] only 5, 6, 7 or 8 OM - PR EME D41 1.C [18] Which one of the following is the correct ground state electronic configuration of the magnesium atom (Z = 12)? [A] Is22s22p2 [B] I s 2 2s 2 2p 6 f [cjls 2 2.s 2 2p 6 3s 2 [D] Is22s22P63s23p2 22 62 6 [E] Is 2s 2p 3s 3p ^ - PR EME D41 1.C [19] A nucleus with a diameter of 7.2 fm has a mass number of [A] 3 [B] 6 rfc)27 [D] 133 [E] 216 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM [20] Carbon-14 has a half-life of 5730 years. A sample of wood has been recovered by an archaeologist. The sample is sent to a laboratory, where it is determined that the activity of the sample is 0.167 Bq/g. By comparing this activity with the activity of living organic matter, 0.230 Bq/g, the scientist determines how old the wood sample is, or more precisely, when the tree t hat the sample came from died. How old is the sample of wood? JA)2650 years [B] 3870 years [C] 4250 years [D] 4590 years 5730 years OM 1.C D41 FORM 0 - PR EME Physics 102 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM [21] Consider the long, straight, current-carrying wires shown in the figure. One wire carries current Ii = 8.0 A in the positive x direction, and the other wire carries current /2 — 4.0 A in the positive y direction. Points A and B are at distances d = 16 cm from the two wires, as shown in the figure. Let z be a unit vector pointing in the positive z direction, thus out of the plane shown in the figure. (a) Calculate the contributions B^/i) and B B(/I) of the current Jj to the magnetic field vector at points A and 5, respectively. (b) Calculate the contributions B^J^) and B B^) of the current I2 to the magnetic field vector at points A and B, respectively. (c) Calculate the net magnetic field vectors B^ and B# at points A and I?, respectively. (d) How will your results in (a) and (c) change if the direction of the current Ij is reversed? 16 on B OM 1.C D41 FORM 0 - PR EME Physics 102 OM - PR EME D41 1.C OM - PR EME D41 1.C OM [22] A copper wire of length 1.0 meter has a cross sectional area of 1.0 mm2 and a resistivity of 1.68 x 10~8 fi-rn. The wire is formed into a circular loop and the loop is placed into a 2.0 T magnetic field t hat is perpendicular to the area of the loop. (a) If the orientation of the loop with respect to the magnetic field is changed from perpendicular to parallel in 2.0 seconds, find the magnitude of the average induced emf. (b) Determine the average induced current. (c) What is the corresponding dissipated power? D41 1.C . An l.O'T. (a) - PR EME 1 JM c-~ II / J7 <-*wjV " __ / . 10 .J.M'\,V |/ :- - •^ „ ED4 - PR EM COM 0>)I = ? L A 1 \ ™"» 11. 1=4 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 ~" MED — If 11. >v. PRE ~ COM f. - PR EME D4 11. COM - PR EME D4 11. COM }0 u> = 03? OM 1.C D41 - PR EME FORMO 1.C OM Physics 102 - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 [23] Compute the energy (in Joules!) of the photon in each of the following cases: (a) the photon emitted at the peak frequency of a 20,000 K blackbody; (b) the photon that strikes an aluminum target (with a work function of 4.28 eV) and produces a photoelectron with maximal kinetic energy of 9.0 eV; (c) the photon that Compton scatters off an electron at an angle of 120° with respect to the incident photon when the incident photon has a frequency of 4.6 X 1018 Hz; (d) the photon produced as a result of the annihilation of an electron and a positron; assume the electron and positron are initially at rest, and that two photons are produced in the annihilation process. t- w. --> PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM v r^ -f OM 1.C FORM 0 - PR EME D41 Physics 102 OM - PR EME D41 1.C OM - PR EME D41 1.C OM [24] A typical fission reaction in a nuclear plant is: +J n Ba Kr + x \n + Q, where the atomic masses are: m^l^U] = 235.043925 u, m^fjBa) = 140.914406 u, m(|jKr) — 91.926153 u, r n(Jn) = 1.008665 u, and z is some number of neutrons. (a) F indz. (b) Calculate the energy produced, Q, in MeV units. (c) Calculate the mass (in kg units) of 2|f U consumed each year by a 50.0 Megawatts power plant operating (on the basis of the above reaction) at 50% efficiency of conversion of heat to electricity (1 yr = 3.15 X 107 sec). = 11. COM o - PR EME D41 1.C ToVU PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 (i**«xc v l oV •*• -=• 3 OM 1.C D41 FORM 0 - PR EME Physics 102 - PR EME D41 1.C OM FORMULAE SHEET I 1.C OM e = 1.60 x Kr19<7, me = 9.11 x KT31^ = 0.511MeF/c2, k = 8.99 x lQgNm*/C* lkWh = 3.6 x 106J, e0 = — = 8.85 x W12C2/Nm2 D41 leV = 1.60 x 1(T19 J, COM v-Va 1 v n- - T= yfi J ~""' 11. Q FFnc = AJf + AC7, - ~ "" ~ = 7- r- UE = ' F=— "' ' " - PR EME D4 11. COM T' A F = -EAs, - PR EME PFE - go-Ed = -g0AF, go - PR EME D4 V = —, D41 1.C OM - PR EME 47TK 2 ED4 mv = qvB, F = HBsmQ, (long)' - PR EM ED4 11. COM - PR EM qvBsind, ^'P, £ = -" COM (T ' ^/^O 11. ED4 - w <), - T r /J,0 = 4?r x 10~7 27rd £ = vBt, ' (coil) £ = NABusinut, ' A T• ''p :== k = -^, Tm (solenoid) u = 2-Tr/ = -^ _/. T/~ = ~ r~» 'p -'s E = cB, _ 5r J? L == r nis'rms? I J' •'rms = ^ => V2 _L R ' rms c - —= = 3.00 x 108m/s, =: ^-F \ /2 A/=c PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM O sin(^z: ^ —r v - / • n r = NIABsin@, AJ Af' 11. == i .-At- ED4 ^B - PR EM ' COM ~~n Z I = —,<~~r v -/ • n K. 11. COM q = C£[l - exp (-t/r)}, 2 -2 / OM 1.C D41 FORM 0 - PR EME Physics 102 f di 2 h0 „ t an #„ = — , TI-L - PR EME sin PC = — i ni ^vac n V—— f — = -7- + -7- , f h h d sin0 = (m + 1 /2)A, m = 0 , l , 2 . . . , (double slit, dark) - PR EME D41 1.C OM , m = 0, 1,2 . . . , (double slit, grating, bright) , n d0 2 D41 sin P! = ra2 sin 02 j c 1.C OM d0 - PR EME D41 1.C OM FORMULAE SHEET II (resolution) 11. COM (single slit, dark) Afp / bright \ Uark J - PR EME D4 n 1 <n<n 2 or nl>n>n2\ m < n > n 2 or m > n < n 2 J /--—-^ ^a6 + f fee - vac = —-— y/l-'U2/C2 , ? / ? - PR EME D4 11. COM v*t? /dark ^ V brightJ , . - o , COM y 1 — f 2 /c 2 11. /i - 6.626 x 1(T34 J 5 = 4.135 x l(T15ey 3 = 1240eV nm ED4 c 27T - PR EM Xl-\ = \c(i-cosB), ATmax = ^ / - W 0 , Ac = — = 2.426 pm, m.ec E = / i/ AdB = p - PR EM ED4 11. hf = hf' + K, , n = — = 1.054 x 10~34 J 5 C ^ = 5.88 x lO10*"1^"1, COM A p r - 2.898 x 1 0- 3 m-#, p = - = ^, c A 0 COM K=— , 2 dsin^ = m A, A p z Ax > -, AEAi > -, r - 273.15 K = Tc = ^(Tp - 32°) 2m 2 2 9 h2 Z2 ke2 a0 = -— - = 0.0529 nm, En = -E0 — , E0 = -— = 13.6 eV - PR EM ED4 11. nft n2 rn= - = ao^r, mevn Z - a = 0 ,1,. . . , n - 1; m/ = 0 ,±1,...,±^; ms - ± - 11. COM - PR EM ED4 11. COM 2 PRE MED 411 .CO MPRE M ED4 11. COM Ai - PR EM ED4 , 1 « = 1.6605 x 10~27fcs = 931.5 MeV/c2, = XN, N = N0exp(-Xt), X= Ti2 , f= X NA = 6.022 x l n , 1 Ci = 3.70 x R PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME 1.C OM - PR EME D41 1.C OM First Letters in the Last Name A-F G-L M-R S-Z D41 ashkenazi http://www.physics.miami.edu/ashkenazi/102/rooms.htm [5/10/2008 3:01:35 PM] Exam Room in the LC Building LC-130 LC-140 LC-160 LC-170 1. It is strictly forbidden to - PR EME D41 1.C OM - PR EME D41 1.C OM - PR EME D41 1.C OM 1. It is strictly forbidden to use a cellular phone, a laptop computer, or another communication appliance, during an exam. Students caught with such an appliance on, during an exam, WILL BE FAILED. 2. It is strictly forbidden to use a calculator with graphic, programming, and communication capabilities during an exam. Students caught using such a calculator, during an exam, WILL BE FAILED. 3. It is allowed to use only a "one-line" calculator, and students who do not have one are urged to get it before the next exam (they are cheap). PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EME D4 11. COM - PR EME D4 11. COM - PR EME D41 1.C OM File translated from TEX by TTH, version 3.40. On 9 Mar 2004, 14:12. http://www.physics.miami.edu/ashkenazi/102/exams.htm [5/10/2008 3:01:35 PM] - PR EME D41 1.C OM Joshua O. Gundersen D41 1.C OM Department of Physics OM 1.C D41 COM - PR EME D41 1.C OM - PR EME Email:gunder@physics.miami.edu Phone: (305) 284-2323 ext.6 Fax: (305) 284-4222 Address: Department of Physics Rm. 317 University of Miami 1320 Campo Sano Drive Coral Gables, FL 33146 - PR EME Joshua O. Gundersen, Associate Professor of Physics - PR EME D4 11. Research: Experimental Cosmology Lab - PR EME D4 11. COM Courses: Descriptive Astronomy PHY102-Spring 2008 PRE MED 411 .CO MPRE M ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM - PR EM ED4 11. COM Office Hours: Mondays 9-10 am http://www.physics.miami.edu/~gunder/ [5/10/2008 3:01:36 PM] ...
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This note was uploaded on 10/19/2011 for the course PHY 102 taught by Professor Korotkova during the Spring '09 term at University of Miami.

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