ASSIGNMENT ASSIGNMENT LEVEL - I 1. Number of electrons in one coulomb of charge will be (A) (B) (C) (D) 2. The current produced in wire when 10 7 electron/sec are flowing in it (A) (B) (C) (D) 3. Two point's charges +3C and +8C repel each other with a force of 40 N. If a charge of –5C is added to each of them, then the force between them will become (A) –10 N (B) +10 N (C) +20 N (D) –20 N 4. Two small balls having equal positive charge Q (coulomb) on each suspended by two insulated string of equal length L meter, from a hook fixed to a stand. The whole set up is taken in satellite into space where there is no gravity (state of weight les ness). Then the angle between the string and tension in the string is (A) (B) (C) (D) 5. Two point charges 1 C & 5 C are separated by a certain distance. What will be ratio of forces acting on these two? (A) 1 : 5 (B) 5 : 1 (C) 1 : 1 (D) 0 6. Two charges of 40 C and –20 C are placed at a certain distance apart. They are touched and kept at the same distance. The ratio of the initial to the final force between them is (A) 8 : 1 (B) 4 : 1 (C) 1 : 8 (D) 1 : 1 7. Five point charges each of value +Q are placed on five vertices of a regular hexagon of side L. What is the magnitude of the force on a point charge of value –q placed at the centre of the hexagon? (A) (B) (C) Zero (D) Information is insufficient 8. Two small sphere each carrying a charge q are placed r metre apart. If one of the spheres is taken around the other one in a circular path of radius r, the work done will be equal to (A) Force between them r (B) Force between them (C) Force between them (D) Zero 9. A simple pendulum of period T has a metal bob which is negatively charged. If it is allowed to oscillate above a positively charged metal plate, its period will (A) Remains equal to T (B) Less than T (C) Greater than T (D) Infinite 10. There is 10 units of charge at the centre of a circle of radius 10m. The work done in moving 1 unit of charge around the circle once is (A) Zero (B) 10 units (C) 100 units (D) 1 unit
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ASSIGNMENTASSIGNMENTLEVEL - I
1. Number of electrons in one coulomb of charge will be (A) (B) (C) (D)
2. The current produced in wire when 107 electron/sec are flowing in it(A) (B) (C) (D)
3. Two point's charges +3C and +8C repel each other with a force of 40 N. If a charge of –5C is added to each of them, then the force between them will become (A) –10 N (B) +10 N (C) +20 N (D) –20 N
4. Two small balls having equal positive charge Q (coulomb) on each suspended by two insulated string of equal length L meter, from a hook fixed to a stand. The whole set up is taken in satellite into space where there is no gravity (state of weight les ness). Then the angle between the string and tension in the string is
(A) (B)
(C) (D)
5. Two point charges 1 C & 5 C are separated by a certain distance. What will be ratio of forces acting on these two? (A) 1 : 5 (B) 5 : 1 (C) 1 : 1 (D) 0
6. Two charges of 40 C and –20 C are placed at a certain distance apart. They are touched and kept at the same distance. The ratio of the initial to the final force between them is(A) 8 : 1 (B) 4 : 1 (C) 1 : 8 (D) 1 : 1
7. Five point charges each of value +Q are placed on five vertices of a regular hexagon of side L. What is the magnitude of the force on a point charge of value –q placed at the centre of the hexagon?
(A) (B) (C) Zero (D) Information is insufficient
8. Two small sphere each carrying a charge q are placed r metre apart. If one of the spheres is taken around the other one in a circular path of radius r, the work done will be equal to (A) Force between them r (B) Force between them (C) Force between them (D) Zero
9. A simple pendulum of period T has a metal bob which is negatively charged. If it is allowed to oscillate above a positively charged metal plate, its period will (A) Remains equal to T (B) Less than T(C) Greater than T (D) Infinite
10. There is 10 units of charge at the centre of a circle of radius 10m. The work done in moving 1 unit of charge around the circle once is (A) Zero (B) 10 units (C) 100 units (D) 1 unit
11. The charge on a capacitor of capacitance 10 F connected as shown in the figure is (A) 20 C (B) 15 C(C) 10 C (D) Zero
12. The equivalent capacitance between A and B is
(A) 2 F (B) 3 F (C) 5 F (D) 0.5 F
13. The capacitance between the points A and B in the given circuit will be (A) 1 F(B) 2 F(C) 3 F(D) 4 F
14. What is the effective capacitance between A and B in the following figure(A) 1 F(B) 2 F(C) 1.5 F(D) 2.5 F
15. A potential difference of 300 volts is applied to a combination of 2.0 F and 8.0 F capacitors connected in series. The charge on the 2.0 F capacitor is(A) (B) (C) (D)
16. Ten capacitor are joined in parallel and charged with a battery up to a potential V. they are then disconnected from battery and joined again in series then the potential of this combination will be (A) V (B) 10V (C) 5V (D) 2V
17. In the circuit here, the steady state voltage across capacitor C is a fraction of the battery e.m.f. The fraction is decided by (A) R1 only (B) R1 and R2 only(C) R1 nd R3 only (D) R1, R2 and R3
18. In the figure, three capacitors each of capacitance 6 pF are connected in series. The total capacitance of the combination will be (A) F (B) F(C) F (D) F
19. Two capacitors of 10 F and 20 F are connected in series with a 30V battery. The charge on the capacitors will be, respectively (A) 100 C, 200 C (B) 200 C, 100 C(C) 100 C, 100 C (D) 200 C, 200 C
20. Three capacitors of capacitance 3 F, 10 F and 15 F are connected in series to a voltage source of 100 V. The charge on 15 F is (A) 50 C (B) 100 C (C) 200 C (D) 280 C
Page 4 Electrostatic
LEVEL - II
1. The electric potential at a point on the axis of an electric dipole depends on the distance r of the point from the dipole as
(A) (B) (C) (D)
2. An electric charge q is placed at the centre of a cube of side . The electric flux on one of its faces will be
(A) (B) (C) (D)
3. An electric line of force in the xy-plane is given by equation . A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy-plane(A) Not move at all(B) Will move along straight line(C) Will move along the circular line of force(D) Information is insufficient to draw any conclusion
4. A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge –Q. The surface charge density on the inner and outer surfaces of the spherical shell will be
(A) (B)
(C) (D) None of the above
5. Three charges are placed at the vertices of an equilateral triangle of side 'a' as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is (A) (B)
(C) Zero (D)
6. The figure shows some of the electric field lines corresponding to an electric field. The figure suggests(A) (B)
(C) (D)
7. Four charges are placed on corners of a square as shown in figure having side of 5 cm. If Q is micro-coulomb, then electric field intensity at centre will be(A) upwards (B) downwards
(C) upwards (D) downwards
8. What is the angle between the electric dipole moment and the electr4ic field strength due to it on the equatorial line?(A) 0 (B) 90 (C) 180 (D) None of these
9. The electric flux for Gaussian surface A that enclose the charged particles in free space is (given q1 = –14 nC, q2 = 78.85 nC, q3 = –56 nC)(A) 103 Nm2 C–1 (B) 103 CN–1 m–2
(C) 6.32 103 Nm2 C–1 (D) 6.32 103 CN–1 m–2
10. The inward and outward electric flux for a closed surface in units of N-m2 / C are respectively 8 103 and 4 103. Then the total charge inside the surface is [where 0 = permittivity constant]
Page 3 Electrostatic
(A) (B) (C) (D)
11. Two capacitors C1 and C2 = 2C1 are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C1 holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be(A) Q, 2Q (B) Q/3, 2Q/3(C) 3Q/2, 3Q (D) 2Q/3, 4Q/3
12. Two identical capacitors, have the same capacitance C. One of them is charged to potential V1 and the other to V2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is
(A) (B) (C) (D)
13. A capacitor of 10 F charged up to 250 volts is connected in parallel with another capacitor of 5 F charged up to 100 volts. The common potential is (A) 500 V (B) 400 V (C) 300 V (D) 200 V
14. When two identical capacitors are in series have 3 F capacitance and when parallel 12 F. What is the capacitance of each?(A) 6 F (B) 3 F (C) 12 F (D) 9 F
15. A capacitor of capacity C1 is charged upto V volt and then connected to an uncharged capacitor of capacity C2. Then final potential difference across each will be
(A) (B) (C) (D)
16. Two capacitors of capacitance 2 F and 3 F are joined in series. Outer plate first capacitor is at 1000 volt and outer plate of second capacitor is earthed (grounded). Now the potential on inner plate of each capacitor will be(A) 700 volt (B) 200 volt (C) 600 volt (D) 400 volt
17. In the figure a potential of +1200V is given to point A and point B is earthed, what is the potential at the point P(A) 100 V (B) 200 V (C) 400 V (D) 600 V
18. All six capacitors shown are identical, each can withstand maximum 200 volts between its terminals. The maximum voltage that can be safely applied between A and B is (A) 1200 V (B) 400 V (C) 800 V (D) 200 V
19. The charge on 4 F capacitor in the given circuit is …… in C (A) 12(B) 24(C) 36(D) 32
20. Four identical capacitors are connected as shown in diagram. When a battery of 6V is connected between A and B, the charge stored is found to be 1.5 C. The value of C1 is (A) 2.5 F (B) 15 F(C) 1.5 F (D) 0.1 F
Page 4 Electrostatic
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