Name: __________________________ Date: _____________ ___ 1. The speed of a sinusoidal wave on a string depends on: A) the frequency of the wave D) the tension in the string B) the wavelength of the wave E) the amplitude of the wave C) the length of the string ___ 2. Two electrons (e1 and e2) and an protin (p) lie on a straight line, as shown. The directions of the force of e2 on e1, the force of p on e1, and the total force on e1, respectively, are:
A) →, ←, → B) ←, →, → C) →, ←, ←
D) ←, →, ← E) ←, ←, ←
___ 3. The capacitance of a parallel-plate capacitor is: A) proportional to the plate area B) proportional to the charge stored C) independent of any material inserted between the plates D) proportional to the potential difference of the plates E) proportional to the plate separation ___ 4. A capacitor C "has a charge Q". The actual charges on its plates are: A) Q, Q B) Q/2, Q/2 C) Q, –Q D) Q/2, –Q/2 E) Q, 0 ___ 5. When listening to tuning forks of frequency 256 Hz and 260 Hz, one hears the following number of beats per second: A) zero B) 2 C) 4 D) 8 E) 258 ___ 6. At points is a sound wave where the gas is maximally compressed, the pressure A) is a maximum B) is a minimum C) is equal to the ambient value D) is greater than the ambient value but less than the maximum E) is less than the ambient value but greater than the minimum ___ 7. Two stationary tuning forks (350 and 352 Hz) are struck simultaneously. The resulting sound is observed to: A) beat with a frequency of 2 beats/s D) be Doppler shifted by 2 Hz B) beat with a frequency of 351 beats/s E) have a frequency of 702 Hz C) be loud but not beat
___ 8. The current in the 5.0-â„Ś resistor in the circuit shown is:
A) 0.42 A
B) 0.67 A
C) 1.5 A
D) 2.4 A
E) 3.0 A
___ 9. Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are hoop 1: M = 150g and R = 50 cm hoop 2: M = 200g and R = 40 cm hoop 3: M = 250g and R = 30 cm hoop 4: M = 300g and R = 20 cm hoop 5: M = 350g and R = 10 cm Order the hoops according to the periods of their motions, smallest to largest. A) 1, 2, 3, 4, 5 B) 5, 4, 3, 2, 1 C) 1, 2, 3, 5, 4 D) 1, 2, 5, 4, 3 E) 5, 4, 1, 2, 3 ___ 10. A particle with mass m and, charge –q is projected with speed v0 into the region between two parallel plates as shown. The potential difference between the two plates is V and their separation is d. The change in kinetic energy of the particle as it traverses this region is:
A) –qV/d
B)
C) qV
D)
E) none of these
___ 11. The diagram shows the electric field lines due to two charged parallel metal plates. We conclude that:
A) B) C) D) E)
the upper plate is positive and the lower plate is negative a proton charge at X would experience the same force if it were placed at Y a proton charge at X experiences a greater force than if it were placed at Z a proton charge at X experiences less force than if it were placed at Z a electron charge at X could have its weight balanced by the electrical force
___ 12. An electron goes from one equipotential surface to another along one of the four paths shown below. Rank the paths according to the work done by the electric field, from least to greatest.
A) 1, 2, 3, 4
B) 4, 3, 2, 1
C) 1, 3, 4 and 2 tie
D) 4 and 2 tie, then 3, then 1 E) 4, 3, 1, 2
___ 13. A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the wavelength of the wave?
A) A
B) B
C) C
D) D
E) E
___ 14. In simple harmonic motion, the restoring force must be proportional to the: A) amplitude B) frequency C) velocity D) displacement E) displacement squared ___ 15. Each of the resistors in the diagram is 12 Ω. The resistance of the entire circuit is:
A) 5.76 Ω
B) 25 Ω
C) 48 Ω
D) 120 Ω
E) none of these
___ 16. Two particles, each with charge Q, and a third particle, with a charge q, are placed at the vertices of an equilateral triangle as shown. The total force on the particle with charge q is:
A) B) C) D) E)
Parrallel to the left side of the triangle Parrallel to the right side of the triangle Parrallel to the bottom side of the triangle perpendicular to the bottom side of the triangle perpendicular to the left side of the triangle
___ 17. The diagram shows four situations in which a source of sound S and a detector D are either moving or stationary. The arrows indicate the directions of motion. The speeds are all the same. Detector 3 is stationary. Rank the situations according to the frequency of the source, lowest to highest.
A) 1, 2, 3, 4
B) 4, 3, 2, 1
C) 1, 3, 4, 2
D) 2, 1, 2, 3
E) None of the above
___ 18. A proton p and an electron e are on the x axis. The directions of the electric field at points 1, 2, and 3 respectively, are:
A) →, ←, → B) ←, →, ← C) ←, →, →
D) ←, ←, ← E) none of these
___ 19. The diagram shows a particle with positive charge Q and a particle with negative −Q. The electric field at point P on the perpendicular bisector of the line joining them is:
A) ↑
B) ↓
C) → D) ← E) zero
___ 20. A weight suspended from an ideal spring oscillates up and down with a period T. If the amplitude of the oscillation is doubled, the period will be: A) T B) 1.5 T C) 2T D) T/2 E) 4T ___ 21. A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. The particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be:
A) 2T B)
2T
C) T
2
D) T E) T/2
___ 22. The standard reference sound level is about: A) the threshold of human hearing at 1000 Hz B) the threshold of pain for human hearing at 1000 Hz C) the level of sound produced when the 1 kg standard mass is dropped 1 m onto a concrete floor D) the level of normal conversation E) the level of sound emitted by a standard 60 Hz tuning fork
___ 23. An electrical insulator is a material: A) containing no electrons B) through which electrons do not flow easily C) which has more electrons than protons on its surface D) cannot be a pure chemical element E) must be a crystal ___ 24. The sound intensity 5.0 m from point source is 0.50 W/m2. The power output of the source is: A) 39 W B) 160 W C) 266 W D) 320 W E) 390 W ___ 25. The equivalent resistance between points 1 and 2 of the circuit shown is:
A) 3 Ω
B) 4 Ω
C) 5 Ω
D) 6 Ω
E) 7 Ω
___ 26. Fully constructive interference between two sinusoidal waves of the same frequency occurs only if they: A) travel in opposite directions and are in phase B) travel in opposite directions and are 180° out of phase C) travel in the same direction and are in phase D) travel in the same direction and are 180° out of phase E) travel in the same direction and are 90° out of phase ___ 27. The displacement of a string is given by y(x,t) = ymsin(kx + ωt). The wavelength of the wave is: A) 2πk/ω B) k/ω C) ωk D) 2π/k
E) k/2π
___ 28. The amplitude and phase constant of an oscillator are determined by: A) the frequency D) the initial velocity alone B) the angular frequency E) both the initial displacement and velocity C) the initial displacement alone ___ 29. Fully destructive interference between two sinusoidal waves of the same frequency and amplitude occurs only if they: A) travel in opposite directions and are in phase B) travel in opposite directions and are 180° out of phase C) travel in the same direction and are in phase D) travel in the same direction and are 180° out of phase E) travel in the same direction and are 90° out of phase
___ 30. Five cylindrical wires are made of the same material. Their lengths and radii are wire 1: length E , radius r wire 2: lenth 3E /2, radius r/2 wire 3: length E /2, radius r/2 wire 4: length E , radius r/2 wire 5: length 5E , radius r/2 Rank the wires according to their resistances, least to greatest. A) 1, 2, 3, 4, 5 D) 1, 3, 4, 2, 5 B) 5, 4, 3, 2, 1 E) 1, 2, 4, 3, 5 C) 1 and 2 tie, then 5, 3, 4 ___ 31. Two protons (p1 and p2) and an electron (e) lie on a straight line, as shown. The directions of the force of p1 on e, the force of p2 on e, and the total force on e, respectively, are: A) →, ←, → B) ←, →, → C) →, ←, ←
D) ←, →, ← E) ←, ←, ←
___ 32. A source of frequency f sends waves of wavelength λ traveling with speed v in some medium. If the frequency is changed from f to 2f, then the new wavelength and new speed are (respectively): A) 2λ, v B) λ/2, v C) λ, 2v D) λ, v/2 E) λ/2, 2v ___ 33. For a given medium, the frequency of a wave is: A) independent of wavelength B) proportional to wavelength C) inversely proportional to wavelength
D) proportional to the amplitude E) inversely proportional to the amplitude
___ 34. Resistor 1 has twice the resistance of resistor 2. The two are connected in parallel and a potential difference is maintained across the combination. The rate of thermal energy dissipation in 1 is: A) the same as that in 2 D) four times that in 2 B) twice that in 2 E) one fourth that in 2 C) half that in 2 ___ 35. Two small charged objects repel each other with a force F when separated by a distance d. If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2 the force becomes: A) F/16 B) F/8 C) F/4 D) F/2 E) F ___ 36. The equipotential surfaces associated with a charged point particle are: A) radially outward from the particle B) vertical planes C) horizontal planes D) concentric spheres centered at the particle E) concentric cylinders with the particle on the axis
___ 37. A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the amplitude of the wave?
A) A
B) B
C) C
D) D
E) E
___ 38. Positive charge +Q is uniformly distributed on the upper half of a rod and a negative charge –Q is uniformly distributed on the lower half. What is the direction of the electric field at point P, on the perpendicular bisector of the rod?
A) ↑
B) ↓
C) ← D) → E) «
___ 39. A conductor is distinguished from an insulator with the same number of atoms by the number of: A) nearly free atoms B) electrons C) nearly free electrons D) protons E) molecules ___ 40. The intensity of sound wave A is 100 times that of sound wave B. Relative to wave B the sound level of wave A is: A) –2 db B) +2 db C) +10 db D) +20 db E) +100 db ___ 41. For a cylindrical resistor made of ohmic material, the resistance does NOT depend on: A) the current D) the resistivity B) the length E) the electron drift velocity C) the cross-sectional area ___ 42. Two point charges are arranged as shown. In which region could a third charge +1 C be placed so that the net electrostatic force on it is zero?
A) I only
B) I and II only
C) III only
D) I and III only
E) II only
___ 43. If the potential difference across a resistor is doubled: A) only the current is doubled D) only the resistance is halved B) only the current is halved E) both the current and resistance are doubled only the resistance is doubled C) ___ 44. The magnitude of the total negative charge on the electrons in 1 mol of helium (atomic number 2, atomic mass 4) is: A) 4.8 × 104 C B) 9.6 × 104 C C) 1.9 × 105 C D) 3.8 × 105 C E) 7.7 × 105 C
___ 45. The speed of a sound wave is determined by: A) its amplitude B) its intensity C) its pitch
D) number of overtones present E) the transmitting medium
___ 46. The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is:
A) ↑
B) ↓
C) →
D) «
E) no direction since v = 0
___ 47. If the sound level is increased by 10 db the intensity increases by a factor of: A) 2 B) 5 C) 10 D) 20 E) 100 ___ 48. Positive charge Q is uniformly distributed on a semicircular rod. What is the direction of the electric field at point P, the center of the semicircle?
A) ↑
B) ↓
C) ← D) → E) «
___ 49. A flat iron is marked "120 volt, 600 watt". In normal use, the current in it is: A) 2 A B) 4 A C) 5 A D) 7.2 A E) 0.2 A ___ 50. Electric field lines: A) are trajectories of a test charge B) are vectors in the direction of the electric field C) form closed loops D) cross each other in the region between two point charges E) are none of the above
___ 51. Which of the following graphs best represents the current-voltage relationship for a device that obeys Ohm's law?
A) I
B) II C) III D) IV E) V
___ 52. To make an uncharged object have a negative charge we must: A) add some atoms D) remove some electrons B) remove some atoms E) write down a negative sign C) add some electrons ___ 53. Each of the four capacitors shown is 500 ÂľF. The voltmeter reads 1000V. The magnitude of the charge, in coulombs, on each capacitor plate is:
A) 0.2 B) 0.5 C) 20 D) 50 E) none of these
___ 54. In the diagram below, the interval PQ represents:
A) wavelength/2
B) wavelength
C) 2 Ă— amplitude
D) period/2
E) period
___ 55. A solid insulating sphere of radius R contains a positive charge that is distrubuted with a volume charge density that does not depend on angle but does increase with distance from the sphere center. Which of the graphs below correctly gives the magnitude E of the electric field as a function of the distance r from the center of the sphere?
A) A B) B C) C
D) D E) E
___ 56. It is impossible for two particles, each executing simple harmonic motion, to remain in phase with each other if they have different: A) masses B) periods C) amplitudes D) spring constants E) kinetic energies ___ 57. The units of the electric field are: A) N â‹… C2 B) C/N C) N D) N/C
E) C/m2
___ 58. The diagram shows the electric field lines in a region of space containing two small charged spheres (Y and Z). Then:
A) B) C) D) E)
Y is negative and Z is positive the magnitude of the electric filed is the same everywhere the electric field is strongest midway between Y and Z Y is positive and Z is negative Y and Z must have the same sign
___ 59. The capacitance of a parallel-plate capacitor can be increased by: A) increasing the charge D) decreasing the plate separation B) decreasing the charge E) decreasing the plate area C) increasing the plate separation
___ 60. Two particles, X and Y, are 4 m apart. X has a charge of 2Q and Y has a charge of Q. The force on X to that on Y is: A) has twice the magnitude of the force of X on Y B) has half the magnitude of the force of Y on X C) has four time the magnitude of the force of Y on X D) has one-fourth the magnitude of the force of Y on X E) has the same magnitude as the force of Y on X ___ 61. Two particles A and B have identical charge Q. For a net force of zero to be exerted on a third chargeparticle it must be placed: A) midway between A and B B) on the perpendicular bisector of the line joining A and B but away from the line C) on the line joining A and B, not between the particles D) on the line joining A and B, closer to one of them than the other E) at none of these places (there is no place) ___ 62. The Doppler shift formula for the frequency detected is v ± vD f = f' , v ∓ vS
where f ' is the frequency emitted, v is the speed of sound, vD is the speed of the detector, and vs is the speed of the source. Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector. The values that should be substituted into the Doppler shift equation are: A) vD = 7 m/s and vs = 5 m/s D) vD = 10 m/s and vs = 2 m/s B) vD = 10 m/s and vs = 8 m/s E) vD = 4 m/s and vs = 8 m/s C) vD = 4 m/s and vs = 2 m/s ___ 63. Conductivity is: A) the same as resistivity, it is just more convenient to use for good conductors B) expressed in Ω–1 C) equal to 1/resistance D) expressed in (Ω ⋅ m)–1 E) not a meaningful quantity for an insulator ___ 64. A standing wave pattern is established in a string as shown. The wavelength of one of the component traveling waves is:
A) 0.25 m
B) 0.5 m
C) 1 m
D) 2 m
E) 4 m
___ 65. Two identical but separate strings, with the same tension, carry sinusoidal waves with the same amplitude. Wave A has a frequency that is twice that of wave B and transmits energy at a rate that is __________ that of wave B. A) half B) twice C) one-fourth D) four times E) eight times ___ 66. The electric field due to a uniform distribution of charge on a spherical shell is zero: A) everywhere D) only inside the shell B) nowhere E) only outside the shell C) only at the center of the shell ___ 67. An object attached to one end of a spring makes 20 vibrations in 10s. Its period is: A) 2 Hz B) 10 s C) 0.5 Hz D) 2 s E) 0.50 s ___ 68. The units of resistivity are: A) ohm B) ohm路meter C) ohm/meter
D) ohm/meter2
E) none of these
___ 69. Which of the following graphs best represents the current-voltage relationship of an incandescent light bulb?
A) I
B) II
C) III
D) IV
E) V
___ 70. In simple harmonic motion, the magnitude of the acceleration is greatest when: A) the displacement is zero D) the force is zero the displacement is maximum B) E) the speed is between zero and its maximum C) the speed is maximum ___ 71. The diagrams below depict four different charge distributions. The charged particles are all the same distance from the origin. The electric field at the origin:
A) is greatest for situation 1 B) is greastest for situation 3 C) is zero for situation 4
D) is downward for situation 1 E) is downward for situation 3
___ 72. Capacitors C1 and C2 are connected in series. The equivalent capacitance is given by: A) C1C2/(C1 + C2) B) (C1 + C2)/C1C2 C) 1/(C1 + C2) D) C1/C2 E) C1 + C2
___ 73. A 60-watt light bulb carries a current of 0.5 ampere. The total charge passing through it in one hour is: A) 120 C B) 3600 C C) 3000 C D) 2400 C E) 1800 C ___ 74. A wire contains a steady current of 2 A. The charge that passes a cross section in 2 s is: A) 3.2 × 10–19 C B) 6.4 × 10–19 C C) 1 C D) 2 C E) 4 C ___ 75. The displacement of a mass oscillating on a spring is given by x(t) = xmcos(ω t + φ ). If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant φ is: A) 0 B) π/2 radians C) π radians D) 3π/2 radians E) 2π radians ___ 76. In simple harmonic motion, the magnitude of the acceleration is: A) constant D) greatest when the velocity is greatest B) proportional to the displacement E) never greater than g C) inversely proportional to the displacement ___ 77. The diagram shows two identical particles, each with positive charge Q. The electric field at point P on the perpendicular bisector of the line joining them is:
A) ↑
B) ↓
C) → D) ← E) zero
Answer Key 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. 42. 43. 44. 45. 46. 47. 48.
D D A C C A A C B C B D A D B D B E A A C A B B C C D E D C D B C C C D D B C D A A A C E A C D
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.
C E B C B D D B D D D C A B D E D D E B A B C A E E B B C