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PHYS 221 Summer 2011 - Midterm Practice Problems Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In order for a circuit to respond quickly, its time 5. An RL series circuit has the following components: constant should be short. In a circuit involving 5.0 mH coil, 1.0 resistor, 12 V battery, ammeter resistance and capacitance, which of the following and switch. What is the time constant of this choices would result in the shortest time constant? circuit? a. R = 100 , C = 100 µF a. 2.5 102 s b. R = 200 , C = 200 µF b. 5.0 103 s c. R = 75 , C = 75 µF c. 12 103 s d. R = 300 , C = 50 µF d. 200 s 2. A “sandwich” is constructed of two flat pieces of metal (2.00 cm on a side) with a 2.00 mm thick piece of a dielectric called Rutile ( = 100) in between them. What is the capacitance? (0 = 8.85 1012 C2/Nm2) a. 177 pF b. 100 µF c. 8.85 µF d. 885 nF 6. A series RC circuit has a time constant of 1.0 s. The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA. The capacitor is initially uncharged. What is the charge on the capacitor 2.0 s after the switch is closed? 3. A circuit contains a 6.0 V battery, a 4.0 resistor, a 0.60 µF capacitor, an ammeter, and a switch all in series. What will be the current reading immediately after the switch is closed? a. 0.99 C b. 0.48 C c. 0.43 C d. 0.86 C a. b. c. d. zero 1.5 A 0.75 A 10 A 4. A parallel plate capacitor is attached to a fixed voltage supply. If the plates are then separated to double the initial value, what happens to the energy stored by the capacitor? a. It doubles since the volume between the plates doubles. b. It stays the same since the volume doubles while the electric field halves. c. It halves, go figure! d. It quadruples since both the volume and the field double in this case. 7. If a 500 W heater carries a current of 4.00 A, what is the voltage across the ends of the heating element? a. 250 V b. 125 V c. 0.008 V d. 2 000 V 8. If C1 = 25 µF, C2 = 20 µF, C3 = 10 µF, and V0 = 21 V, determine the energy stored by C2. a. b. c. d. 0.72 mJ 0.91 mJ 0.40 mJ 0.32 mJ 9. A proton moving at a speed of 3.8 106 m/s cuts across the lines of a magnetic field at an angle of 70°. The strength of the field is 0.25 104 T. What is the magnitude of the force acting on the proton? (qp = 1.6 1019 C) a. 1.4 1017 N b. 9.0 1018 N c. 5.1 1018 N d. 2.3 1017 N 10. A 12.0 F capacitor is connected to an AC source with an rms voltage of 120 V and a frequency of 60.0 Hz. What is the rms current in the capacitor? a. 0.543 A b. 0.768 A c. 1.41 A d. 0 A 11. The primary winding of an electric train transformer has 400 turns, and the secondary has 50. If the input voltage is 120 V(rms), what is the output voltage? a. 60 V b. 10 V c. 15 V d. 480 V 12. When an electric current exists within a conducting wire, which of the following statements describes the condition of any accompanying electric field? a. must be anti-parallel (opposite direction) to current flow b. must be parallel to current flow c. must be zero d. must be perpendicular to current flow 13. The number of electric field lines passing through a unit cross sectional area is indicative of: a. charge motion. b. charge density. c. field direction. d. field strength. 14. A horizontal wire of length 3.0 m carries a current of 6.0 A and is oriented so that the current direction is 50° S of W. The Earth's magnetic field is due north at this point and has a strength of 0.14 104 T. What is the direction of the force on the wire? a. out of the Earth’s surface b. toward the Earth’s surface c. 40° S of E d. due east 15. How is the direction of propagation of an electromagnetic wave oriented relative to the associated and fields? a. parallel to , perpendicular to b. parallel to , perpendicular to c. parallel to both and d. perpendicular to both and 16. A 120 V (rms) source is connected in series with a 20.0 resistor, an 8.8 mH inductor, and a 6.0 F capacitor. If the source runs at 60 Hz, what is the impedance of circuit? a. 445 b. 439 c. 20 d. 400 17. A radio wave signal, which transmits at a frequency of 7.20 MHz, has what wavelength? (c = 3.00 108 m/s) a. 2.4 102 m b. 41.7 m c. 28.8 m d. 4.17 m 18. Suppose two equipotential surfaces are the planes x = 3 m and x = 5 m. If the potential at the x = 3 m surface is 10 V and the potential at the x = 5 m surface is 30 V, what is the magnitude of the electric field between the two surfaces? a. 10 N/C b. 15 N/C c. 40 N/C d. 20 N/C 19. A proton initially moves left to right long the x axis at a speed of 2.00 103 m/s. It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest. What acceleration magnitude does the proton experience? a. 2.67 1011m/s2 b. 6.67 103 m/s2 c. 9.33 109 m/s2 d. 1.00 107 m/s2 20. Two point charges of values +3.4 C and +6.6 C are separated by 0.10 m. What is the electrical potential at the point midway between the two charges? (ke = 8.99 109 Nm2/C2) a. +0.90 106 V b. 0.90 106 V c. +1.8 106 V d. +3.6 106 V 21. The constant ke, which appears in Coulomb’s law formula, is equivalent dimensionally to which of the following? a. Nm/C b. N/C c. Nm2/C2 d. N/C2 22. One time constant after an RL circuit has its switch closed, how does the current I in it compare to the maximum current Imax that occurs for this circuit? a. I < Imax/2 b. I > Imax/2 c. Without knowing R and L, this cannot be determined. d. I = Imax/2 23. According to Lenz’s law the direction of an induced current in a conductor will be that which tends to produce which of the following effects? a. produce a greater heating effect b. produce the greatest voltage c. oppose the effect which produces it d. enhance the effect which produces it 24. Which of the following combinations of circuit components can be used to make a tuner for a radio, to select the desired frequency? a. fixed inductor, variable resistor b. fixed resistor, variable inductor c. fixed capacitor, variable resistor d. fixed inductor, variable capacitor 25. A 10.0 F capacitor is attached to a 20 V power supply. How much energy is stored in the capacitor? a. 2.0 104 J b. 5.2 104 J c. 2.0 103 J d. 1.2 103 J 26. The first bar magnet is attached solidly to the surface and its length is aligned with the x axis. To the right of the first magnet a short distance away is a second bar magnet with its center placed on the x axis and its length perpendicular to the x axis. The second magnet is free to move. Once placed in position at rest, which best describes the motion of the second magnet? a. The magnet will move toward the fixed magnet. b. The magnet will move away from the fixed magnet. c. The magnet will not move. d. The magnet will start to rotate. 27. A beam of polarized light of intensity I0 passes through a sheet of ideal polarizing material. The polarization axis of the beam and the transmission axis of the sheet differ by 30°. What is the intensity of the emerging light? a. 0.50 I0 b. 0.25 I0 c. 0.75 I0 d. 0.87 I0 28. The dielectric strength of Rutile is 6.0 106 V/m, which corresponds to the maximum electric field that the dielectric can sustain before breakdown. What is the maximum charge that a 1010 F capacitor with a 1.0 mm thickness of Rutile can hold? a. 6.0 C b. 0.60 µC c. 0.30 mC d. 1.7 nC 29. A circular loop carrying a current of 1.0 A is oriented in a magnetic field of 0.35 T. The loop has an area of 0.24 m2 and is mounted on an axis, perpendicular to the magnetic field, which allows the loop to rotate. What is the torque on the loop when its plane is oriented at a 25° angle to the field? a. 0.010 Nm b. 0.051 Nm c. 4.6 Nm d. 0.076 Nm 30. The current in a coil with a self-inductance of 1.5 mH increases from 0 to 1.0 A in a tenth of a second. What is the induced emf in the coil? a. 15 mV b. 0.30 V c. 0.10 V d. 30 mV 31. A solid conducting sphere of 10 cm radius has a net charge of 20 nC. If the potential at infinity is taken as zero, what is the potential at the center of the sphere? a. 360 V b. 1.8 103 V c. 36 V d. >1.8 104 V 32. Electrons in an x-ray machine are accelerated from rest through a potential difference of 50,000 V. What is the kinetic energy of each of these electrons in eV? a. 50 keV b. 330 eV c. 80 eV d. 50 eV 33. A high voltage transmission line of diameter 2 cm and length 200 km carries a steady current of 1000 A. If the conductor is copper with a free charge density of 8 1028 electrons/m3, how long does it take one electron to travel the full length of the cable? (e = 1.6 1019 C) a. 8 102 s b. 8 108 s c. 8 104 s d. 8 106 s 34. The units T·m2/s are equivalent to: a. webers. b. W. c. N/m. d. V. 35. A superconducting wire carries a current of 104 A. Find the magnetic field at a distance of 1.0 m from the wire. (µ0 = 4 107 Tm/A) a. 1.6 102 T b. 2 103 T c. 8 103 T d. 3.2 102 T 36. Two point charges are separated by 10.0 cm and have charges of +2.00 µC and 2.00 µC, respectively. What is the electric field at a point midway between the two charges? (ke = 8.99 109 N·m2/C2) a. 7.19 106 N/C b. zero c. 28.8 106 N/C d. 14.4 106 N/C 37. A radar pulse returns 3.0 104 seconds after it is sent out, having been reflected by an object. What is the distance between the radar antenna and the object? (c = 3.00 108 m/s) a. 6.0 104 m b. 1.0 104 m c. 9.0 104 m d. 4.5 104 m 38. Three resistors, each of different value, are used in a circuit with a power source supplying 12 volts. For which of the following resistor combinations is the total power supplied the greatest? a. two of the resistors in parallel with the third resistor in series with the parallel pair b. all three resistors in series c. This cannot be found until it is known which resistor is in series with the parallel pair. d. all three resistors in parallel 39. Three resistors connected in series have individual voltages labeled V1, V2 and V3, respectively. Which of the following expresses the value of the total voltage VT taken over the three resistors together? a. VT = (1/V1 + 1/V2 + 1/V3)1 b. VT = (1/V1 + 1/V2 + 1/V3) c. VT = V1 = V2 = V3 d. VT = V1 + V2 + V3 40. Which of the following best characterizes electrical insulators? a. electric charges move freely b. charges on the surface don’t move c. high tensile strength d. good heat conductors 41. The direction of the force on a current carrying wire located in an external magnetic field is which of the following? a. perpendicular to the field b. perpendicular to the current c. Both choices A and B are valid. d. None of the above are valid. 46. An initially uncharged hollow metallic sphere with radius of 5 cm has a small object with a charge of +10 µC carefully placed at the center of the sphere through a hole in the latter’s surface. What charge resides inner surface of the sphere? a. 10 µC b. +10 µC c. 4000 µC d. zero 47. Four charges are at the corners of a square, with B and C on opposite corners. Charges A and D, on the other two corners, have equal charge, while both B and C have a charge of +1.0 C. What is the charge on A so that the force on B is zero? 42. If three 4.0 µF capacitors are connected in parallel, what is the combined capacitance? a. 0.46 F b. 8.0 F c. 12 F d. 0.75 F 43. The current in an electron beam in a cathode-ray tube is measured to be 70 µA. How many electrons hit the screen in 5.0 s? (e = 1.6 1019 C) a. 2.2 1011 electrons b. 2.2 1015 electrons c. 8.8 1013 electrons d. 8.8 1018 electrons 44. If C = 36 µF, determine the equivalent capacitance for the combination shown. a. b. c. d. 36 µF 24 µF 32 µF 28 µF 45. Q1 has 50 electric field lines radiating outward and Q2 has 100 field lines converging inward. What is the ratio Q1/Q2? a. 2 b. 2 c. 1/2 d. 1/2 a. b. c. d. 0.71 C 0.35 C 0.50 C 1.0 C 48. Two parallel wires carry the a current I in the same direction. Midway between these wires is a third wire, also parallel to the other two, which carries a current 0.5 I, but in the direction opposite from the first two wires. In which direction are the net forces on the outer wires? a. Both forces are away from the center wire. b. Both forces on the two wires are in the same direction in space. c. Both forces are toward the center wire. d. Since the net forces are zero, there is no direction. 49. Three equal positive charges are placed on the x-axis, one at the origin, one at x = 2 m, and the third at x = 4 m. Of the following points, which has the greatest magnitude electric field? a. x = 5 m b. x = 1 m c. x = 3 m d. The electric field has the same magnitude at all three positions. 50. The unit of electrical potential, the volt, is dimensionally equivalent to: a. b. c. d. JC. J/C. FC. C/J. 51. A transformer is to be designed to increase the 30 kV (rms) output of a generator to the transmission line voltage of 345 kV (rms). If the primary winding has 80 turns, how many turns must the secondary have? a. 920 b. 70 c. 6 d. 9200 52. A straight wire of length is oriented east-west and is in a magnetic field B pointing north. The wire is moving downward at a constant speed v. Which end of the rod is positively charged? a. neither b. the east end c. both ends d. the west end 53. A copper wire of length 25 cm is in a magnetic field of 0.20 T. If it has a mass of 10 g, what minimum current through the wire would cause a magnetic force equal to its weight? a. 2.0 A b. 1.3 A c. 4.9 A d. 1.5 A 54. An electron moves through a region of crossed electric and magnetic fields. The electric field E = 2000 V/m and is directed straight down. The magnetic field B = 0.80 T and is directed to the left. For what velocity v of the electron into the paper will the electric force exactly cancel the magnetic force? a. b. c. d. 2500 m/s 8000 m/s 4000 m/s 5000 m/s 55. An AC voltage source, with a peak output of 200 V, is connected to a 50 resistor. What is the rate of energy dissipated due to heat in the resistor? a. 200 W b. 400 W c. 566 W d. 800 W 56. A proton (+1.6 1019 C) moves 10 cm on a path in the direction of a uniform electric field of strength 3.0 N/C. How much work is done on the proton by the electrical field? a. 4.8 1020 J b. zero c. 4.8 1020 J d. 1.6 1020 J 57. A loop of area 0.250 m2 is in a uniform 0.0200 T magnetic field. If the flux through the loop is 3.83 10-3 T·m2, what angle does the normal to the plane of the loop make with the direction of the magnetic field? a. 37.5° b. This is not possible. c. 40.0° d. 50.0° 58. How can a charged object attract an uncharged object made of non-conducting material? a. The uncharged object must somehow gain an unlike charge. b. The uncharged object must somehow gain a like charge. c. Attraction of an insulator is not possible. d. The charges in the uncharged object can become polarized. 59. A thin uncharged conducting spherical shell has a charge q carefully placed at its center through a small hole in the shell. The charge q does not touch the shell. What is the charge on the shell? a. q b. 0 c. 2q d. q 60. If the distance between two point charges is tripled, the mutual force between them will be changed by what factor? a. 3.0 b. 9.0 c. 1/9 d. 0.33 61. A proton is released such that its initial velocity is from right to left across this page. The proton’s path, however, is deflected in a direction toward the bottom edge of the page due to the presence of a uniform magnetic field. What is the direction of this field? a. into the page b. out of the page c. from bottom edge to top edge of the page d. from right to left across the page 62. An AC series circuit contains a resistor of 20 , a capacitor of 0.75 F and an inductor of 120 mH. What frequency should be used to create a resonance condition in the circuit? a. 320 Hz b. 530 Hz c. 640 Hz d. 160 Hz 63. A 10 turn square coil of area 0.036 m2 and a 20 turn circular coil are both placed perpendicular to the same changing magnetic field. The voltage induced in each of the coils is the same. What is the area of the circular coil? a. 0.018 m2 b. 0.60 m2 c. 0.036 m2 d. 0.072 m2 64. A current in a long, straight wire produces a magnetic field. The magnetic field lines: a. go out from the wire to infinity. b. form circles that go around the wire. c. come in from infinity to the wire. d. form circles that pass through the wire. 65. The Earth is 1.49 1011 m from the Sun. If the solar radiation at the top of the Earth's atmosphere is 1340 W/m2, what is the total power output of the Sun? a. 2.34 1030 W b. 3.74 1026 W c. 7.48 1027 W d. 6.62 1026 W 66. Three loops of wire, one circular, one rectangular, and one square, are made from identical lengths of wire. If the loops are in the same increasing magnetic field perpendicular to the plane of the coils, which loop has the greatest induced emf? a. the square one b. All three would have the same emf induced. c. the circular one d. the rectangular one 67. In the typical household AC voltage of 120 V, what is the peak voltage? a. 120 V b. 85 V c. 240 V d. 170 V 68. If a 9.0 V battery, with negligible internal resistance, and an 18 resistor are connected in series, what is the amount of electrical energy transformed to heat per coulomb of charge that flows through the circuit? a. 72 J b. 0.50 J c. 9.0 J d. 3.0 J 69. An electron and a proton are each released from rest in the same uniform electric field. The electron moves a distance delectron and the proton moves a distance dproton as each particle’s kinetic energy increases by 1.6 eV. How do delectron and dproton compare? a. delectron = dproton b. delectron < dproton c. delectron > dproton d. The answer depends on the direction of the electric field. 70. An electron in a cathode ray tube is accelerated through a potential difference of 5.0 kV. What kinetic energy does the electron gain in the process? (e = 1.6 1019 C) a. 8.0 1022 J b. 1.6 1016 J c. 1.6 1022 J d. 8.0 1016 J 71. A 50 resistor, a 0.1 H inductor, and a 10 µF capacitor are connected in series to a 60 Hz source. The rms current in the circuit is 3 A. Find the rms voltage across the resistor, the inductor, and the capacitor. a. 150 V, 113 V, 562 V (all rms) b. 0.06 V, 80 V, 562 V (all rms) c. 150 V, 113 V, 796 V (all rms) d. 60 V, 80 V, 796 V (all rms) 77. Two protons, each of charge 1.60 1019 C, are 2.00 105 m apart. What is the change in potential energy if they are brought 1.00 105 m closer together? (ke = 8.99 109 N·m2/C2) a. 3.20 1019 J b. 1.60 1014 J c. 1.15 1023 J d. 3.20 1016 J 72. A bar magnet is falling through a loop of wire with constant velocity. The north pole enters first. As the south pole leaves the loop of wire, the induced current (as viewed from above) will be: a. along the length of the magnet. b. counterclockwise. c. clockwise. d. zero. 78. A proton moving with a speed of 3.0 105 m/s perpendicular to a uniform magnetic field of 0.20 T will follow which of the paths described below? (qp = 1.6 1019 C and mp = 1.67 1027 kg) a. a circular path of 1.6 cm radius b. a circular path of 3.1 cm radius c. a straight line path d. a circular path of 6.3 cm radius 73. What is the stored energy in a 0.50 mH coil carrying a current of 4.0 A? a. 2.0 103 J b. 12 103 J c. 8.0 103 J d. 4.0 103 J 79. The force on a charged particle created by its motion in a magnetic field is maximum at what angle between the particle velocity and field? a. 45° b. zero c. 180° d. 90° 74. In an AC series circuit, the current in a pure resistor differs in phase with the applied voltage by what angle? a. 180° b. 45° c. 90° d. zero 80. If R1 < R2 < R3, and if these resistors are connected in series in a circuit, which one dissipates the greatest power? a. R2 b. All are equal in power dissipation. c. R1 d. R3 75. The unit of electric current, the ampere, is equivalent to which of the following? a. m b. V c. V/s d. V/ 81. A 0.25 F capacitor is connected to a 400 V battery. Find the charge on the capacitor. a. 0.040 C b. 1.0 104 C c. 0.020 C d. 1.2 1012 C 76. An electromagnetic wave with a peak magnetic field component of 1.5 107 T carries what average power per unit area? (0 = 4 107 Tm/A, 0 = 8.85 1012 C2/Nm2 and c = 3.00 108 m/s) a. 1.3 W/m2 b. 12 W/m2 c. 2.7 W/m2 d. 3.0 W/m2 82. Peak values for a neodymium-glass laser are 600 J for 1 nanosecond . If the cross-section of the laser beam is 1 cm2, what are the maximum values of E and B? (µ0 = 4 107 Tm/A, c = 3.00 108 m/s) a. 2 109 V/m, 2 T b. 4 108 V/m, 2 T c. 2 109 V/m, 7 T d. 4 108 V/m, 7 T 83. A superconducting solenoid is to be designed to generate a magnetic field of 5.00 T. If the solenoid winding has 1000 turns/m, what is the required current? (µ0 = 4 107 Tm/A) a. 1990 A b. 3980 A c. 1000 A d. 5000 A 88. An uncharged conductor is supported by an insulating stand. I pass a positively charged rod near the left end of the conductor, but do not touch it. The right end of the conductor will be: a. attracted. b. neutral. c. negative. d. positive. 84. The average distance of the electron from the proton in the hydrogen atom is 0.51 1010 m. What is the electric field from the proton’s charge at the location of the electron? (ke = 8.99 109 Nm2/C2, e = 1.6 1019 C) a. 1.0 106 N/C b. 8.8 108 N/C c. 3.2 102 N/C d. 5.5 1011 N/C 89. How is the energy stored in a current-carrying inductor related to the current value, I? a. directly proportional to I b. directly proportional to I 1/2 c. inversely proportional to I d. directly proportional to I 2 85. Two capacitors with capacitances of 1.0 C and 0.50 F, respectively, are connected in series. The system is connected to a 100 V battery. What charge accumulates on the 1.0 F capacitor? a. 33 C b. 150 C c. 100 C d. 50 C 86. Two wires with the same resistance have the same diameter but different lengths. If wire 1 has length L1 and wire 2 has length L2, how do L1 and L2 compare if wire 1 is made from copper and wire 2 is made from aluminum? The resistivity of copper is 1.7 10-5 ·m and the resistivity of aluminum is 2.82 10-5 ·m. a. L1 = 1.7 L2 b. L1 = 0.36 L2 c. L1 = 0.60 L2 d. L1 = 2.8 L2 87. A current in a solenoid coil creates a magnetic field inside that coil. The field strength is directly proportional to: a. the current. b. Both A and B are valid choices. c. the coil area. d. None of the above choices are valid. 90. Of the various types of electromagnetic radiation, the shortest wavelengths are the most penetrating through all forms of matter. Which of the following is it? a. gamma b. ultraviolet c. visible light d. infrared 91. A proton with initial kinetic energy E is moving in circular motion in a uniform magnetic field. When it has completed one eighth of a revolution, what is its kinetic energy? a. 1.4 E b. 0.71 E c. The value is not given. d. E 92. Wire A and Wire B are each carrying the same current. If the diameter of Wire A is twice that of Wire B, how does the drift velocity vdA in Wire A compare to that in in Wire B? a. vdA = vdB /4 b. vdA = vdB /2 c. vdA = 2 vdB d. vdA = vdB 93. In an AC series circuit the capacitive reactance is 200 and frequency is 100 Hz. What is the capacitance? a. 8.0 F b. 6.28 F c. 50.0 F d. 3.2 F 94. An AM radio tuning circuit has a coil with an inductance of 6.00 mH and a capacitor set at 7.50 106 F. What frequency will it detect? a. 550 kHz b. 1060 kHz c. 1520 kHz d. 750 kHz 95. Unpolarized light is passed through polarizer 1. The light then goes though polarizer 2 with its plane of polarization at 45.0° to that of polarizer 1. Polarizer 3 is placed after polarizer 2. Polarizer 3 has its plane of polarization at 45° to the plane of polarization of polarizer 2 and at 90° to that of polarizer 1. What fraction of the intensity of the original light gets though the last polarizer? a. 0.707 b. 0.250 c. 0.125 d. 0.500 96. A 6.0 C charge is placed at the origin and a second charge is placed on the x axis at x = 0.30 m. If the resulting force on the second charge is 5.4 N in the positive x direction, what is the value of its charge? a. –9.0 C b. –9.0 nC c. 9.0 nC d. 9.0 C 97. In the inductor of a 60 Hz AC series circuit, the peak voltage precedes the peak current in each cycle by what time interval? a. 1.7 103 s b. 4.2 103 s c. 2.1 103 s d. 8.3 103 s PHYS 221 Summer 2011 - Midterm Practice Problems Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: C A B C B C B B A A C B D B D B B A D C C B C D C D C B D A B A B D B D D D D B C PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: 1 2 2 2 2 3 1 3 2 3 1 1 1 2 1 3 2 2 2 2 1 2 1 1 2 2 2 3 3 2 3 1 3 1 2 2 2 2 1 1 1 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: C B B C A B D A B A B A A B A C D B C A B A B B C D C A D C C D D D C C A D D B C B D A A A D PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: 1 1 2 2 2 3 2 2 1 2 2 2 2 2 2 3 1 1 1 2 2 2 2 2 3 1 2 3 2 3 2 2 1 1 2 2 2 1 2 1 3 2 2 2 2 1 1 89. 90. 91. 92. 93. 94. 95. 96. 97. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: D A D A A D C D B PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: DIF: 1 1 2 2 2 2 2 2 2