1. A total charge of 6.3×10−8 C is distributed uniformly throughout a 2.7-cm radius sphere. The volume charge density is:
A. 3.7 × 10−7 C/m3
B. 6.9 × 10−6 C/m3
C. 6.9 × 10−6 C/m2
D. 2.5 × 10−4 C/m3
E. 7.6 × 10−4 C/m3
ans: E
A. 3.7 × 10−7 C/m3
B. 6.9 × 10−6 C/m3
C. 6.9 × 10−6 C/m2
D. 2.5 × 10−4 C/m3
E. 7.6 × 10−4 C/m3
ans: E
2. Charge is placed on the surface of a 2.7-cm radius isolated conducting sphere. The surface charge density is uniform and has the value 6.9 × 10−6 C/m2. The total charge on the sphere is:
A. 5.6 × 10−10 C
B. 2.1 × 10−8 C
C. 4.7 × 10−8 C
D. 6.3 × 10−8 C
E. 9.5 × 10−3 C
A. 5.6 × 10−10 C
B. 2.1 × 10−8 C
C. 4.7 × 10−8 C
D. 6.3 × 10−8 C
E. 9.5 × 10−3 C
ans: D
3. A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volume density of 6.1×10−4 C/m3 the total charge is:
A. 1.0 × 10−7 C
B. 1.3 × 10−7 C
C. 2.0 × 10−7 C
D. 2.3 × 10−7 C
E. 4.0 × 10−7 C
3. A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5 cm. If charge is distributed uniformly throughout the shell with a volume density of 6.1×10−4 C/m3 the total charge is:
A. 1.0 × 10−7 C
B. 1.3 × 10−7 C
C. 2.0 × 10−7 C
D. 2.3 × 10−7 C
E. 4.0 × 10−7 C
ans: A
4. A cylinder has a radius of 2.1 cm and a length of 8.8 cm. Total Charge. 1×10−7 C is distributed uniformly throughout. The volume charge density is:
A. 5.3 × 10−5 C/m3
B. 5.3 × 10−5 C/m2
C. 8.5 × 10−4 C/m3
D. 5.0 × 10−3 C/m3
E. 6.3 × 10−2 C/m3
A. 5.3 × 10−5 C/m3
B. 5.3 × 10−5 C/m2
C. 8.5 × 10−4 C/m3
D. 5.0 × 10−3 C/m3
E. 6.3 × 10−2 C/m3
ans: D
13. 1.513 + 27.3 =
A) 29
B) 28.8
C) 28.9
D) 28.81
E) 28.813
14. The order of magnitude of the number 0.0649 is:
A) –2
B) 6 × 10–2
C) 10–2
D) 10–1
E) 0.06
5. When a piece of paper is held with one face perpendicular to a uniform electric field the flux through it is 25N · m2 /C. When the paper is turned 25◦ with respect to the field the flux through it is:
A. 0
B. 12N · m2/C
C. 21N · m2/C
D. 23N · m2/C
E. 25N · m2/C
A. 0
B. 12N · m2/C
C. 21N · m2/C
D. 23N · m2/C
E. 25N · m2/C
ans: D
6. The flux of the electric field (24N/C)ˆi + (30N/C)ˆj + (16N/C)ˆk through a 2.0m2 portion of the yz plane is:
A. 32N · m2 /C
B. 34N · m2 /C
C. 42N · m2 /C
D. 48N · m2 /C
E. 60N · m2 /C
A. 32N · m2 /C
B. 34N · m2 /C
C. 42N · m2 /C
D. 48N · m2 /C
E. 60N · m2 /C
ans: D
7. Consider Gauss’s law: � � E · d� A = q/�0. Which of the following is true?
A. � E must be the electric field due to the enclosed charge
B. If q = 0, then � E = 0 everywhere on the Gaussian surface
C. If the three particles inside have charges of +q, +q, and −2q, then the integral is zero
D. on the surface � E is everywhere parallel to d� A
E. If a charge is placed outside the surface, then it cannot affect � E at any point on the surface
A. � E must be the electric field due to the enclosed charge
B. If q = 0, then � E = 0 everywhere on the Gaussian surface
C. If the three particles inside have charges of +q, +q, and −2q, then the integral is zero
D. on the surface � E is everywhere parallel to d� A
E. If a charge is placed outside the surface, then it cannot affect � E at any point on the surface
ans: C
8. A charged point particle is placed at the center of a spherical Gaussian surface. The electric flux ΦE is changed if:
A. the sphere is replaced by a cube of the same volume
B. the sphere is replaced by a cube of one-tenth the volume
C. the point charge is moved off center (but still inside the original sphere)
D. the point charge is moved to just outside the sphere
E. a second point charge is placed just outside the sphere
A. the sphere is replaced by a cube of the same volume
B. the sphere is replaced by a cube of one-tenth the volume
C. the point charge is moved off center (but still inside the original sphere)
D. the point charge is moved to just outside the sphere
E. a second point charge is placed just outside the sphere
ans: D
9. Choose the INCORRECT statement:
A. Gauss’ law can be derived from Coulomb’s law
B. Gauss’ law states that the net number of lines crossing any closed surface in an outward direction is proportional to the net charge enclosed within the surface
C. Coulomb’s law can be derived from Gauss’ law and symmetry
D. Gauss’ law applies to a closed surface of any shape
E. According to Gauss’ law, if a closed surface encloses no charge, then the electric field must vanish everywhere on the surface
ans: E
10. The outer surface of the cardboard center of a paper towel roll:
A. is a possible Gaussian surface
B. cannot be a Gaussian surface because it encloses no charge
C. cannot be a Gaussian surface since it is an insulator
D. cannot be a Gaussian surface because it is not a closed surface
E. none of the above
9. Choose the INCORRECT statement:
A. Gauss’ law can be derived from Coulomb’s law
B. Gauss’ law states that the net number of lines crossing any closed surface in an outward direction is proportional to the net charge enclosed within the surface
C. Coulomb’s law can be derived from Gauss’ law and symmetry
D. Gauss’ law applies to a closed surface of any shape
E. According to Gauss’ law, if a closed surface encloses no charge, then the electric field must vanish everywhere on the surface
ans: E
10. The outer surface of the cardboard center of a paper towel roll:
A. is a possible Gaussian surface
B. cannot be a Gaussian surface because it encloses no charge
C. cannot be a Gaussian surface since it is an insulator
D. cannot be a Gaussian surface because it is not a closed surface
E. none of the above
ans: D
11. A physics instructor in an anteroom charges an electrostatic generator to 25 μC, then carries it into the lecture hall. The net electric flux in N · m2/C through the lecture hall walls is:
A. 0
B. 25 × 10−6
C. 2.2 × 105
D. 2.8 × 106
E. can not tell unless the lecture hall dimensions are given
11. A physics instructor in an anteroom charges an electrostatic generator to 25 μC, then carries it into the lecture hall. The net electric flux in N · m2/C through the lecture hall walls is:
A. 0
B. 25 × 10−6
C. 2.2 × 105
D. 2.8 × 106
E. can not tell unless the lecture hall dimensions are given
ans: D
12. A point particle with charge q is placed inside the cube but not at its center. The electric flux through any one side of the cube:
A. is zero
B. is q/�0
C. is q/4�0
D. is q/6�0
E. cannot be computed using Gauss’ law
ans: E
13. A particle with charge 5.0-μC is placed at the corner of a cube. The total electric flux in N · m2 /C through all sides of the cube is:
A. 0
B. 7.1 × 104
C. 9.4 × 104
D. 1.4 × 105
E. 5.6 × 105
ans: E
14. A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:
A. q/�0
B. q/4π�0
C. q/3�0
D. q/6�0
E. q/12�0
12. A point particle with charge q is placed inside the cube but not at its center. The electric flux through any one side of the cube:
A. is zero
B. is q/�0
C. is q/4�0
D. is q/6�0
E. cannot be computed using Gauss’ law
ans: E
13. A particle with charge 5.0-μC is placed at the corner of a cube. The total electric flux in N · m2 /C through all sides of the cube is:
A. 0
B. 7.1 × 104
C. 9.4 × 104
D. 1.4 × 105
E. 5.6 × 105
ans: E
14. A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is:
A. q/�0
B. q/4π�0
C. q/3�0
D. q/6�0
E. q/12�0
ans: D
15. The table below gives the electric flux in N·m2/C through the ends and round surfaces of four Gaussian surfaces in the form of cylinders. Rank the cylinders according to the charge inside, from the most negative to the most positive. left end right end rounded surface
cylinder 1: +2 × 10−9 +4 × 10−9 −6 × 10−9
cylinder 2: +3 × 10−9 −2 × 10−9 +6 × 10−9
cylinder 3: −2 × 10−9 −5 × 10−9 +3 × 10−9
cylinder 4: +2 × 10−9 −5 × 10−9 −3 × 10−9
cylinder 1: +2 × 10−9 +4 × 10−9 −6 × 10−9
cylinder 2: +3 × 10−9 −2 × 10−9 +6 × 10−9
cylinder 3: −2 × 10−9 −5 × 10−9 +3 × 10−9
cylinder 4: +2 × 10−9 −5 × 10−9 −3 × 10−9
A. 1, 2, 3, 4
B. 4, 3, 2, 1
C. 3, 4, 2, 1
D. 3, 1, 4, 2
E. 4, 3, 1, 2
ans: E
16. A conducting sphere of radius 0.01m has a charge of 1.0 × 10−9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:
A. 0
B. 450
C. 900
D. 4500
E. 90, 000
B. 4, 3, 2, 1
C. 3, 4, 2, 1
D. 3, 1, 4, 2
E. 4, 3, 1, 2
ans: E
16. A conducting sphere of radius 0.01m has a charge of 1.0 × 10−9 C deposited on it. The magnitude of the electric field in N/C just outside the surface of the sphere is:
A. 0
B. 450
C. 900
D. 4500
E. 90, 000
ans: C
17. A round wastepaper basket with a 0.15-m radius opening is in a uniform electric field of 300N/C, perpendicular to the opening. The total flux through the sides and bottom, in N · m2 C, is:
A. 0
B. 4.2
C. 21
D. 280
E. can not tell without knowing the areas of the sides and bottom
A. 0
B. 4.2
C. 21
D. 280
E. can not tell without knowing the areas of the sides and bottom
ans: C
18. 10C of charge are placed on a spherical conducting shell. A particle with a charge of −3C is placed at the center of the cavity. The net charge on the inner surface of the shell is:
A. −7C
B. −3C
C. 0C
D. +3C
E. +7C
A. −7C
B. −3C
C. 0C
D. +3C
E. +7C
ans: D
23. Charge Q is distributed uniformly throughout an insulating sphere of radius R. The magnitude of the electric field at a point R/2 from the center is:
A. Q/4π�0R2
B. Q/π�0R2
C. 3Q/4π�0R2
A. Q/4π�0R2
B. Q/π�0R2
C. 3Q/4π�0R2
D. Q/8π�0R2
E. none of these
E. none of these
ans: D
24. Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:
A. Q/4π�0R2
B. Q/8π�0R2
C. Q/72π�0R2
D. 17Q/72π�0R2
E. none of these
24. Positive charge Q is distributed uniformly throughout an insulating sphere of radius R, centered at the origin. A particle with positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x = R/2 on the x axis is:
A. Q/4π�0R2
B. Q/8π�0R2
C. Q/72π�0R2
D. 17Q/72π�0R2
E. none of these
ans: C
25. Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N · m2 /C through the inner surface of the shell is:
A. 0
B. Q/�0
C. 2Q/�0
D. Q/4π�0
E. Q/2π�0
25. Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N · m2 /C through the inner surface of the shell is:
A. 0
B. Q/�0
C. 2Q/�0
D. Q/4π�0
E. Q/2π�0
ans: A
26. Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N · m2 /C through the outer surface of the shell is:
A. 0
B. Q/�0
C. 2Q/�0
D. Q/4�0
E. Q/2π�0
26. Charge Q is distributed uniformly throughout a spherical insulating shell. The net electric flux in N · m2 /C through the outer surface of the shell is:
A. 0
B. Q/�0
C. 2Q/�0
D. Q/4�0
E. Q/2π�0
ans: B
27. A 3.5-cm radius hemisphere contains a total charge of 6.6 × 10−7 C. The flux through the rounded portion of the surface is 9.8 × 104 N · m2 /C. The flux through the flat base is:
A. 0
B. +2.3 × 104 N · m2 /C
C. −2.3 × 104 N · m2 /C
D. −9.8 × 104 N · m2 /C
E. +9.8 × 104 N · m2 /C
27. A 3.5-cm radius hemisphere contains a total charge of 6.6 × 10−7 C. The flux through the rounded portion of the surface is 9.8 × 104 N · m2 /C. The flux through the flat base is:
A. 0
B. +2.3 × 104 N · m2 /C
C. −2.3 × 104 N · m2 /C
D. −9.8 × 104 N · m2 /C
E. +9.8 × 104 N · m2 /C
ans: C
28. Charge is distributed uniformly along a long straight wire. The electric field 2 cm from the wire is 20N/C. The electric field 4 cm from the wire is:
A. 120N/C
B. 80N/C
C. 40N/C
D. 10N/C
E. 5N/C
28. Charge is distributed uniformly along a long straight wire. The electric field 2 cm from the wire is 20N/C. The electric field 4 cm from the wire is:
A. 120N/C
B. 80N/C
C. 40N/C
D. 10N/C
E. 5N/C
ans: D
29. Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:
A. zero
B. Q/4π�0r2
C. q/4π�0r2
D. (q + Q)/4π�0r2
E. (q + Q)/4π�0(R2 1 − r2)
ans: D
30. Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of the conductor, a distance r from the center, is:
A. 0
29. Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field at a point outside the shell, a distance r from the center, is:
A. zero
B. Q/4π�0r2
C. q/4π�0r2
D. (q + Q)/4π�0r2
E. (q + Q)/4π�0(R2 1 − r2)
ans: D
30. Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of the conductor, a distance r from the center, is:
A. 0
B. Q/4vπ�0R2 1
C. Q/4π�0R2 2
D. q/4π�0r2
E. Q/4π�0r2
C. Q/4π�0R2 2
D. q/4π�0r2
E. Q/4π�0r2
ans: D
31. A long line of charge with λ� charge per unit length runs along the cylindrical axis of a cylindrical shell which carries a charge per unit length of λc. The charge per unit length on the inner and outer surfaces of the shell, respectively are:
A. λ� and λc
B. −λ� and λc + λ�
C. −λ� and λc − λc
D. λ� + λc and λc − λ�
E. λ� − λc and λc + λ�
A 4.0-N puck is traveling at 3.0m/s. It strikes a 8.0-N puck, which is stationary. The two pucks stick together. Their common final speed is:
► 1.0m/s
► 1.5m/s
► 2.0m/s
► 2.3m/s
A plane traveling north at 200m/s turns and then travels south at 200m/s. The change in its velocity is:
► 400m/s north
► 400m/s south
► zero
► 200m/s south
31. A long line of charge with λ� charge per unit length runs along the cylindrical axis of a cylindrical shell which carries a charge per unit length of λc. The charge per unit length on the inner and outer surfaces of the shell, respectively are:
A. λ� and λc
B. −λ� and λc + λ�
C. −λ� and λc − λc
D. λ� + λc and λc − λ�
E. λ� − λc and λc + λ�
ans: B
32. Charge is distributed uniformly on the surface of a large flat plate. The electric field 2 cm from the plate is 30N/C. The electric field 4 cm from the plate is:
A. 120N/C
B. 80N/C
C. 30N/C
D. 15N/C
E. 7.5N/C
32. Charge is distributed uniformly on the surface of a large flat plate. The electric field 2 cm from the plate is 30N/C. The electric field 4 cm from the plate is:
A. 120N/C
B. 80N/C
C. 30N/C
D. 15N/C
E. 7.5N/C
ans: C
33. A particle with charge Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is
directed:
A. toward the surface
B. away from the surface
C. toward Q
D. away from Q
E. none of the above
33. A particle with charge Q is placed outside a large neutral conducting sheet. At any point in the interior of the sheet the electric field produced by charges on the surface is
directed:
A. toward the surface
B. away from the surface
C. toward Q
D. away from Q
E. none of the above
ans: C
34. A hollow conductor is positively charged. A small uncharged metal ball is lowered by a silk thread through a small opening in the top of the conductor and allowed to touch its inner surface. After the ball is removed, it will have:
A. a positive charge
B. a negative charge
C. no appreciable charge
D. a charge whose sign depends on what part of the inner surface it touched
E. a charge whose sign depends on where the small hole is located in the conductor
34. A hollow conductor is positively charged. A small uncharged metal ball is lowered by a silk thread through a small opening in the top of the conductor and allowed to touch its inner surface. After the ball is removed, it will have:
A. a positive charge
B. a negative charge
C. no appreciable charge
D. a charge whose sign depends on what part of the inner surface it touched
E. a charge whose sign depends on where the small hole is located in the conductor
ans: C
35. A spherical conducting shell has charge Q. A particle with charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the charge on the outer surface of the shell, respectively, are:
A. 0, Q
B. q, Q − q
C. Q, 0
D. −q, Q + q
E. −q, 0
35. A spherical conducting shell has charge Q. A particle with charge q is placed at the center of the cavity. The charge on the inner surface of the shell and the charge on the outer surface of the shell, respectively, are:
A. 0, Q
B. q, Q − q
C. Q, 0
D. −q, Q + q
E. −q, 0
ans: D
36. A particle with a charge of 5.5×10−8C is 3.5 cm from a particle with a charge of −2.3×10−8 C. The potential energy of this two-particle system, relative to the potential energy at infinite separation, is:
A. 3.2 × 10−4 J
B. −3.2 × 10−4 J
C. 9.3 × 10−3 J
D. −9.3 × 10−3 J
E. zero
36. A particle with a charge of 5.5×10−8C is 3.5 cm from a particle with a charge of −2.3×10−8 C. The potential energy of this two-particle system, relative to the potential energy at infinite separation, is:
A. 3.2 × 10−4 J
B. −3.2 × 10−4 J
C. 9.3 × 10−3 J
D. −9.3 × 10−3 J
E. zero
ans: B
ans: D
51. A 5-cm radius conducting sphere has a surface charge density of 2 ×10−6 C/m2 on its surface. Its electric potential, relative to the potential far away, is:
A. 1.1 × 104 V
B. 2.2 × 104 V
C. 2.3 × 105 V
D. 3.6 × 105 V
E. 7.2 × 106 V
37. A particle with a charge of 5.5 × 10−8C is fixed at the origin. A particle with a charge of −2.3×10−8 C is moved from x = 3.5 cm on the x axis to y = 4.3 cm on the y axis. The change in potential energy of the two-particle system is:
A. 3.1 × 10−3 J
B. −3.1 × 10−3 J
C. 6.0 × 10−5 J
D. −6.0 × 10−5 J
E. 0
A. 3.1 × 10−3 J
B. −3.1 × 10−3 J
C. 6.0 × 10−5 J
D. −6.0 × 10−5 J
E. 0
ans: C
38. A particle with a charge of 5.5 × 10−8 C charge is fixed at the origin. A particle with a charge of −2.3 × 10−8 C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis. The change in the potential energy of the two-particle system is:
A. 3.2 × 10−4 J
B. −3.2 × 10−4 J
C. 9.3 × 10−3 J
D. −9.3 × 10−3 J
E. 0
ans: E
39. Three particles lie on the x axis: particle 1, with a charge of 1×10−8 C is at x = 1 cm, particle 2, with a charge of 2 × 10−8 C, is at x = 2 cm, and particle 3, with a charge of −3 × 10−8 C, is at x = 3 cm. The potential energy of this arrangement, relative to the potential energy for infinite separation, is:
A. +4.9 × 10−4 J
B. −4.9 × 10−4 J
C. +8.5 × 10−4 J
D. −8.5 × 10−4 J
E. zero
38. A particle with a charge of 5.5 × 10−8 C charge is fixed at the origin. A particle with a charge of −2.3 × 10−8 C charge is moved from x = 3.5 cm on the x axis to y = 3.5 cm on the y axis. The change in the potential energy of the two-particle system is:
A. 3.2 × 10−4 J
B. −3.2 × 10−4 J
C. 9.3 × 10−3 J
D. −9.3 × 10−3 J
E. 0
ans: E
39. Three particles lie on the x axis: particle 1, with a charge of 1×10−8 C is at x = 1 cm, particle 2, with a charge of 2 × 10−8 C, is at x = 2 cm, and particle 3, with a charge of −3 × 10−8 C, is at x = 3 cm. The potential energy of this arrangement, relative to the potential energy for infinite separation, is:
A. +4.9 × 10−4 J
B. −4.9 × 10−4 J
C. +8.5 × 10−4 J
D. −8.5 × 10−4 J
E. zero
ans: B
40. Two identical particles, each with charge q, are placed on the x axis, one at the origin and the other at x = 5 cm. A third particle, with charge −q, is placed on the x axis so the potential energy of the three-particle system is the same as the potential energy at infinite separation. Its x coordinate is:
A. 13 cm
B. 2.5 cm
C. 7.5 cm
D. 10 cm
E. −5 cm
40. Two identical particles, each with charge q, are placed on the x axis, one at the origin and the other at x = 5 cm. A third particle, with charge −q, is placed on the x axis so the potential energy of the three-particle system is the same as the potential energy at infinite separation. Its x coordinate is:
A. 13 cm
B. 2.5 cm
C. 7.5 cm
D. 10 cm
E. −5 cm
ans: A
41. Choose the correct statement:
A. A proton tends to go from a region of low potential to a region of high potential
B. The potential of a negatively charged conductor must be negative
C. If � E = 0 at a point P then V must be zero at P
D. If V = 0 at a point P then �E must be zero at P
E. None of the above are correct
ans: E
42. If 500 J of work are required to carry a charged particle between two points with a potential difference of 20V, the magnitude of the charge on the particle is:
A. 0.040C
B. 12.5C
C. 20C
D. cannot be computed unless the path is given
E. none of these
41. Choose the correct statement:
A. A proton tends to go from a region of low potential to a region of high potential
B. The potential of a negatively charged conductor must be negative
C. If � E = 0 at a point P then V must be zero at P
D. If V = 0 at a point P then �E must be zero at P
E. None of the above are correct
ans: E
42. If 500 J of work are required to carry a charged particle between two points with a potential difference of 20V, the magnitude of the charge on the particle is:
A. 0.040C
B. 12.5C
C. 20C
D. cannot be computed unless the path is given
E. none of these
ans: B
43. The potential difference between two points is 100V. If a particle with a charge of 2C is transported from one of these points to the other, the magnitude of the work done is:
A. 200 J
B. 100 J
C. 50 J
D. 100 J
E. 2 J
43. The potential difference between two points is 100V. If a particle with a charge of 2C is transported from one of these points to the other, the magnitude of the work done is:
A. 200 J
B. 100 J
C. 50 J
D. 100 J
E. 2 J
ans: A
44. During a lightning discharge, 30C of charge move through a potential difference of 1.0×108 V in 2.0 × 10−2
s. The energy released by this lightning bolt is:
A. 1.5 × 1011 J
B. 3.0 × 109 J
C. 6.0 × 107 J
D. 3.3 × 106 J
E. 1500 J
44. During a lightning discharge, 30C of charge move through a potential difference of 1.0×108 V in 2.0 × 10−2
s. The energy released by this lightning bolt is:
A. 1.5 × 1011 J
B. 3.0 × 109 J
C. 6.0 × 107 J
D. 3.3 × 106 J
E. 1500 J
ans: B
45. An electron is accelerated from rest through a potential difference V . Its final speed is proportional to:
A. V
B. V 2
C. √V
D. 1/V
E. 1/√V
45. An electron is accelerated from rest through a potential difference V . Its final speed is proportional to:
A. V
B. V 2
C. √V
D. 1/V
E. 1/√V
ans: C
46. Two large parallel conducting plates are separated by a distance d, placed in a vacuum, and connected to a source of potential difference V . An oxygen ion, with charge 2e, starts from rest on the surface of one plate and accelerates to the other. If e denotes the magnitude of the electron charge, the final kinetic energy of this ion is:
A. eV/2
B. eV/d
C. eV d
D. V d/e
E. 2eV
ans: E
47. An electron volt is :
A. the force acting on an electron in a field of 1N/C
B. the force required to move an electron 1 meter
C. the energy gained by an electron in moving through a potential difference of 1 volt
D. the energy needed to move an electron through 1 meter in any electric field
E. the work done when 1 coulomb of charge is moved through a potential difference of 1 volt.
ans: C
48. An electron has charge −e and mass me. A proton has charge e and mass 1840me. A “proton volt” is equal to:
A. 1 eV
B. 1840 eV
C. (1/1840) eV
D. √1840 eV
E. (1/√1840) eV
46. Two large parallel conducting plates are separated by a distance d, placed in a vacuum, and connected to a source of potential difference V . An oxygen ion, with charge 2e, starts from rest on the surface of one plate and accelerates to the other. If e denotes the magnitude of the electron charge, the final kinetic energy of this ion is:
A. eV/2
B. eV/d
C. eV d
D. V d/e
E. 2eV
ans: E
47. An electron volt is :
A. the force acting on an electron in a field of 1N/C
B. the force required to move an electron 1 meter
C. the energy gained by an electron in moving through a potential difference of 1 volt
D. the energy needed to move an electron through 1 meter in any electric field
E. the work done when 1 coulomb of charge is moved through a potential difference of 1 volt.
ans: C
48. An electron has charge −e and mass me. A proton has charge e and mass 1840me. A “proton volt” is equal to:
A. 1 eV
B. 1840 eV
C. (1/1840) eV
D. √1840 eV
E. (1/√1840) eV
ans: A
49. Two conducting spheres are far apart. The smaller sphere carries a total charge Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:
A. Q/2 and Q/2
B. Q/3 and 2Q/3
C. 2Q/3 and Q/3
D. zero and Q
E. 2Q and −Q
49. Two conducting spheres are far apart. The smaller sphere carries a total charge Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:
A. Q/2 and Q/2
B. Q/3 and 2Q/3
C. 2Q/3 and Q/3
D. zero and Q
E. 2Q and −Q
ans: B
50. A conducting sphere with radius R is charged until the magnitude of the electric field just outside its surface is E. The electric potential of the sphere, relative to the potential far away, is:
A. zero
B. E/R
C. E/R2
D. ER
E. ER2
50. A conducting sphere with radius R is charged until the magnitude of the electric field just outside its surface is E. The electric potential of the sphere, relative to the potential far away, is:
A. zero
B. E/R
C. E/R2
D. ER
E. ER2
ans: D
51. A 5-cm radius conducting sphere has a surface charge density of 2 ×10−6 C/m2 on its surface. Its electric potential, relative to the potential far away, is:
A. 1.1 × 104 V
B. 2.2 × 104 V
C. 2.3 × 105 V
D. 3.6 × 105 V
E. 7.2 × 106 V
ans: A
52. A hollow metal sphere is charged to a potential V . The potential at its center is:
A. V
B. 0
C. −V
D. 2V
E. πV
52. A hollow metal sphere is charged to a potential V . The potential at its center is:
A. V
B. 0
C. −V
D. 2V
E. πV
ans: A
53. Positive charge is distributed uniformly throughout a non-conducting sphere. The highest electric potential occurs:
A. at the center
B. at the surface
C. halfway between the center and surface
D. just outside the surface
E. far from the sphere
53. Positive charge is distributed uniformly throughout a non-conducting sphere. The highest electric potential occurs:
A. at the center
B. at the surface
C. halfway between the center and surface
D. just outside the surface
E. far from the sphere
ans: A
54. A total charge of 7×10−8 C is uniformly distributed throughout a nonconducting sphere with a radius of 5 cm. The electric potential at the surface, relative to the potential far away, is about:
A. −1.3 × 104 V
B. 1.3 × 104 V
C. 7.0 × 105 V
D. −6.3 × 104 V
E. 0
54. A total charge of 7×10−8 C is uniformly distributed throughout a nonconducting sphere with a radius of 5 cm. The electric potential at the surface, relative to the potential far away, is about:
A. −1.3 × 104 V
B. 1.3 × 104 V
C. 7.0 × 105 V
D. −6.3 × 104 V
E. 0
ans: B
55. Eight identical spherical raindrops are each at a potential V , relative to the potential far away. They coalesce to make one spherical raindrop whose potential is:
A. V/8
B. V/2
C. 2V
D. 4V
E. 8V
14. An object is thrown str
aight up from ground level with a speed of 50 m/s. If g = 10 m/s2
aight up from ground level with a speed of 50 m/s. If g = 10 m/s2
its distance above ground level 1.0 s later is:
A) 40 m
B) 45 m
C) 50 m
D) 55 m
E) 60 m
15. A lead block is suspended from your hand by a string. The reaction to the force of
gravity on the block is the force exerted by:
A) the string on the block
B) the block on the string
C) the string on the hand
D) the hand on the string
E) the block on Earth
55. Eight identical spherical raindrops are each at a potential V , relative to the potential far away. They coalesce to make one spherical raindrop whose potential is:
A. V/8
B. V/2
C. 2V
D. 4V
E. 8V
ans: D
56. A metal sphere carries a charge of 5 × 10−9 C and is at a potential of 400V, relative to the potential far away. The potential at the center of the sphere is:
A. 400V
B. −400V
C. 2 × 10−6 V
D. 0
E. none of these ans: A
57. A 5-cm radius isolated conducting sphere is charged so its potential is +100V, relative to the potential far away. The charge density on its surface is:
A. +2.2 × 10−7 C/m2
B. −2.2 × 10−7 C/m2
C. +3.5 × 10−7 C/m2
D. −3.5 × 10−7 C/m2
E. +1.8 × 10−8 C/m2
ans: E
56. A metal sphere carries a charge of 5 × 10−9 C and is at a potential of 400V, relative to the potential far away. The potential at the center of the sphere is:
A. 400V
B. −400V
C. 2 × 10−6 V
D. 0
E. none of these ans: A
57. A 5-cm radius isolated conducting sphere is charged so its potential is +100V, relative to the potential far away. The charge density on its surface is:
A. +2.2 × 10−7 C/m2
B. −2.2 × 10−7 C/m2
C. +3.5 × 10−7 C/m2
D. −3.5 × 10−7 C/m2
E. +1.8 × 10−8 C/m2
ans: E
57. A conducting sphere has charge Q and its electric potential is V , relative to the potential far away. If the charge is doubled to 2Q, the potential is:
A. V
B. 2V
C. 4V
D. V/2
E. V/4
A. V
B. 2V
C. 4V
D. V/2
E. V/4
ans: B
58. The potential difference between the ends of a 2-meter stick that is parallel to a uniform electric field is 400V. The magnitude of the electric field is:
A. zero
B. 100V/m
C. 200V/m
D. 400V/m
E. 800V/m
ans: E
59. In a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction. The electric field:
A. points east and varies with position
B. points east and does not vary with position
C. points west and varies with position
D. points west and does not vary with position
E. points north and does not vary with position
58. The potential difference between the ends of a 2-meter stick that is parallel to a uniform electric field is 400V. The magnitude of the electric field is:
A. zero
B. 100V/m
C. 200V/m
D. 400V/m
E. 800V/m
ans: E
59. In a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction. The electric field:
A. points east and varies with position
B. points east and does not vary with position
C. points west and varies with position
D. points west and does not vary with position
E. points north and does not vary with position
ans: B
60. If the electric field is in the positive x direction and has a magnitude given by E = Cx2, where C is a constant, then the electric potential is given by V =:
A. 2Cx
B. −2Cx
C. Cx3/3
D. −Cx3/3
E. −3Cx3
60. If the electric field is in the positive x direction and has a magnitude given by E = Cx2, where C is a constant, then the electric potential is given by V =:
A. 2Cx
B. −2Cx
C. Cx3/3
D. −Cx3/3
E. −3Cx3
ans: D
61. The work required to carry a particle with a charge of 6.0C from a 5.0-V equipotential surface to a 6.0-V equipotential surface and back again to the 5.0-V surface is:
A. 0
B. 1.2 × 10−5 J
C. 3.0 × 10−5 J
D. 6.0 × 10−5 J
E. 6.0 × 10−6 J
61. The work required to carry a particle with a charge of 6.0C from a 5.0-V equipotential surface to a 6.0-V equipotential surface and back again to the 5.0-V surface is:
A. 0
B. 1.2 × 10−5 J
C. 3.0 × 10−5 J
D. 6.0 × 10−5 J
E. 6.0 × 10−6 J
ans: A
62. The equipotential surfaces associated with a charged point particles 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.
62. The equipotential surfaces associated with a charged point particles 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.
ans: D
63. The electric field in a region around the origin is given by � E = C(xˆi + yˆj), where C is a constant. The equipotential surfaces in that region are:
A. concentric cylinders with axes along the z axis
B. concentric cylinders with axes along the x axis
C. concentric spheres centered at the origin
D. planes parallel to the xy plane
E. planes parallel to the yz plane
63. The electric field in a region around the origin is given by � E = C(xˆi + yˆj), where C is a constant. The equipotential surfaces in that region are:
A. concentric cylinders with axes along the z axis
B. concentric cylinders with axes along the x axis
C. concentric spheres centered at the origin
D. planes parallel to the xy plane
E. planes parallel to the yz plane
ans: A
64.Room temperature is about 20 degrees on the:
Select correct option:
Kelvin scale Celsius scale
Fahrenheit scale Absolute scale
65.A particle with zero mass and energy E carries momentum:
Select correct option:
Ec Ec2 vEc
E/c
Select correct option:
Kelvin scale Celsius scale
Fahrenheit scale Absolute scale
65.A particle with zero mass and energy E carries momentum:
Select correct option:
Ec Ec2 vEc
E/c
66.The quantum number ms is most closely associated with what property of the electron in an atom?
Select correct option:
Magnitude of the orbital angular momentum Energy
z component of the spin angular momentum z component of the orbital angular momentum
67.J.J.Thompson’s measurement of e/m for electrons provides evidence of the:
Select correct option:
Wave nature of matter Particle nature of matter
Wave nature of radiation Particle nature of radiation
68.During a slow adiabatic expansion of a gas:
Select correct option:
The pressure remains constant Energy is added as heat
Work is done on the gas
No energy enters or leaves as heat
Select correct option:
Magnitude of the orbital angular momentum Energy
z component of the spin angular momentum z component of the orbital angular momentum
67.J.J.Thompson’s measurement of e/m for electrons provides evidence of the:
Select correct option:
Wave nature of matter Particle nature of matter
Wave nature of radiation Particle nature of radiation
68.During a slow adiabatic expansion of a gas:
Select correct option:
The pressure remains constant Energy is added as heat
Work is done on the gas
No energy enters or leaves as heat
69. The electric potential in a certain region of space is given by V = −7.5x2 + 3x, where V is in volts and x is
in meters. In this region the equipotential surfaces are:
A. planes parallel to the x axis
B. planes parallel to the yz plane
C. concentric spheres centered at the origin
D. concentric cylinders with the x axis as the cylinder axis
E. unknown unless the charge is given ans: B
70. A particle with charge q is to be brought from far away to a point near an electric dipole. No work is done if the final position of the particle is on:
A. the line through the charges of the dipole
B. a line that is perpendicular to the dipole moment
C. a line that makes an angle of 45◦ with the dipole moment
D. a line that makes an angle of 30◦ with the dipole moment
E. none of the above ans: B
71. Equipotential surfaces associated with an electric dipole are:
A. spheres centered on the dipole
B. cylinders with axes along the dipole moment
C. planes perpendicular to the dipole moment
D. planes parallel to the dipole moment
E. none of the above
ans: E
C. concentric spheres centered at the origin
D. concentric cylinders with the x axis as the cylinder axis
E. unknown unless the charge is given ans: B
70. A particle with charge q is to be brought from far away to a point near an electric dipole. No work is done if the final position of the particle is on:
A. the line through the charges of the dipole
B. a line that is perpendicular to the dipole moment
C. a line that makes an angle of 45◦ with the dipole moment
D. a line that makes an angle of 30◦ with the dipole moment
E. none of the above ans: B
71. Equipotential surfaces associated with an electric dipole are:
A. spheres centered on the dipole
B. cylinders with axes along the dipole moment
C. planes perpendicular to the dipole moment
D. planes parallel to the dipole moment
E. none of the above
ans: E
72. The units of capacitance are equivalent to:
A. J/C
B. V/C
C. J2/C
D. C/J
E. C2/J
ans: E
A. J/C
B. V/C
C. J2/C
D. C/J
E. C2/J
ans: E
The number of significant figures in 0.00150 is:
► 5
► 4
► 3
► 2
PHY101 - Physics - Question No: 2 ( M - 1 )
One revolution is the same as:
2π rad
► 1 rad
► 57 rad
► π/2 rad
► π rad
► 2π rad
PHY101 - Physics - Question No: 3 (M - 1)
For a body to be in equilibrium under the combined action of several forces:
► All the forces must be applied at the same point
all the forces must be applied at the same point
► all of the forces form pairs of equal and opposite forces
► any two of these forces must be balanced by a third force
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