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Shivendra Singh

Myself Shivendra Singh worked in Kota as Physics Educator almost 10 years now I came in Sultanpur in covid pendemic in 2020. I have felt that students of Sultanpur need real guidance for JEE and NEET so I have started specialized PHYSICS coaching in Shashtri Nagar, Sultanpur for 11th and 12th (CBSE) , IIT-JEE and NEET.
(Mentor and counsellor for IIT-JEE and NEET)
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EM waves lecture 1

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AC sheet.pdf

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Electric Charge And Field

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Physics Formula Sheet

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Electric charge and field- Short Notes

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#Notes- Electrostatics(XI-Class)-1

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ELECTROSTATICS POTENTIAL (B)

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ELECTROSTATICS POTENTIAL (A)

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Page 2 :

Physics by Shivendra Sir, Q.1, , (1) uniform but on the surface alone, (2) non uniform but on the surface alone, , An electron at rest has a charge of 1.6 × 10–19 C. It, starts moving with a velocity v = c/2, where c is, the speed of light, then the new charge on it is, (1) 1.6 ×, , 10–19, , (3) uniform inside the volume, (4) non uniform inside the volume, , Coulomb, Q.8, 1, 1 , 2, , (2) 1.6 × 10–19, , Two similar charge of +Q , as shown in figure are, placed at A and B. –q charge is placed at point, C midway between A and B. –q charge will, , oscillate if, , 2, , Coulomb, , +Q, , 2, , (3) 1.6 ×, , (4), , 10–19, , 1.6 10 19, 1, 1 , 2, , Q.2, , 2, 1 Coulomb, 1, , 2, , A, (1) It is moved towards A., (3) It is moved upwards AB., , Coulomb, , (4) Distance between A and B is reduced., Q.9, , If a glass rod is rubbed with silk, it acquires a, positive charge because Q.10, , (3) Electrons are added to it., (4) Electrons are removed from it., Which one of the following statement regarding, electrostatics is wrong ?, , Q.11, , (1) Charge is quantized, (3) There is an electric field near an isolated, charge at rest, , (3) 4.6 × 10–8 N attractive, (4) 4.6 × 10–8 repulsive, Q.12, , The dielectric constant for water is (2) 40, , (3) 81, , (4) 0.3, , 1, In M.K.S. System, 4 equals 0, 2, 9, 2, (1) 9 × 10 N-m /C, , Q.13, , (3) 1 dyne - cm2 / stat C2, (4) 9 × 109 dyne x cm2 / stat C2, , (3) Both electric as magnetic field, (4) Neither electric Nor magnetic field, Q.7, , An isolated solid metallic sphere is charged with, +Q charge .The distribution of their +Q charge, on the sphere will be, , Q.14, , (2) FK, (4) K2F, , Two point charges in air at a distance of 20 cm., from each other interact with a certain force. At, what distance from each other should these, charges be placed in oil of relative permittivity 5, to obtain the same force of interaction –, (1) 8.94 × 10–2 m, (3) 89.4 × 10–2 m, , A stationary electric charge produces(1) Only electric fields, (2) Only magnetic field, , Two charges are at distance (d) apart in air., Coulomb force between them is F. If a dielectric, material of dielectric constant (K) is placed, between them, the coulomb force now becomes., (1) F/K, (3) F/K2, , (2) 1 N-m2/C2, , Q.6, , The force between an -particle and an electron, separated by a distance of 1 Å is -, , (2) Charge is conserved, , (1) 1, Q.5, , When the distance between two charged particle, is halved, the force between them becomes (1) One fourth, (2) One half, (3) Double, (4) Four times, The force between two point charges in vacuum, is 15N, if a brass plate is introduced between the, two charges, then force between them will(1) Becomes zero, (2) Remains the same, (3) Becomes 30 N, (4) Becomes 60 N, , (1) 2.3 × 10–8 N attractive, (2) 2.3 × 10–8 N Repulsive, , (4) A stationary charge produces both electric, and magnetic fields, Q.4, , +Q, , B, , , , (2) It is moved towards B., , (1) Protons are added to it., (2) Protons are removed from it., , Q.3, , C, –q, , , , (2) 0.894 × 10–2 m, (4) 8.94 × 102 m, , A certain charge Q is divided at first into two, parts, (q) and (Q-q). Later on the charges are, placed at a certain distance. If the force of, interaction between the two charges is maximum, then(1) (Q/q) = (4/1), , (2) (Q/q) = (2/1), , (3)(Q/q) = (3/1), , (4) (Q/q) = (5/1), , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, Q.1, , (1) uniform but on the surface alone, (2) non uniform but on the surface alone, , An electron at rest has a charge of 1.6 × 10–19 C. It, starts moving with a velocity v = c/2, where c is, the speed of light, then the new charge on it is, (1) 1.6 ×, , 10–19, , (3) uniform inside the volume, (4) non uniform inside the volume, , Coulomb, Q.8, 1, 1 , 2, , (2) 1.6 × 10–19, , Two similar charge of +Q , as shown in figure are, placed at A and B. –q charge is placed at point, C midway between A and B. –q charge will, , oscillate if, , 2, , Coulomb, , +Q, , 2, , (3) 1.6 ×, , (4), , 10–19, , 1.6 10 19, 1, 1 , 2, , Q.2, , 2, 1 Coulomb, 1, , 2, , A, (1) It is moved towards A., (3) It is moved upwards AB., , Coulomb, , (4) Distance between A and B is reduced., Q.9, , If a glass rod is rubbed with silk, it acquires a, positive charge because Q.10, , (3) Electrons are added to it., (4) Electrons are removed from it., Which one of the following statement regarding, electrostatics is wrong ?, , Q.11, , (1) Charge is quantized, (3) There is an electric field near an isolated, charge at rest, , (3) 4.6 × 10–8 N attractive, (4) 4.6 × 10–8 repulsive, Q.12, , The dielectric constant for water is (2) 40, , (3) 81, , (4) 0.3, , 1, In M.K.S. System, 4 equals 0, 2, 9, 2, (1) 9 × 10 N-m /C, , Q.13, , (3) 1 dyne - cm2 / stat C2, (4) 9 × 109 dyne x cm2 / stat C2, , (3) Both electric as magnetic field, (4) Neither electric Nor magnetic field, Q.7, , An isolated solid metallic sphere is charged with, +Q charge .The distribution of their +Q charge, on the sphere will be, , Q.14, , (2) FK, (4) K2F, , Two point charges in air at a distance of 20 cm., from each other interact with a certain force. At, what distance from each other should these, charges be placed in oil of relative permittivity 5, to obtain the same force of interaction –, (1) 8.94 × 10–2 m, (3) 89.4 × 10–2 m, , A stationary electric charge produces(1) Only electric fields, (2) Only magnetic field, , Two charges are at distance (d) apart in air., Coulomb force between them is F. If a dielectric, material of dielectric constant (K) is placed, between them, the coulomb force now becomes., (1) F/K, (3) F/K2, , (2) 1 N-m2/C2, , Q.6, , The force between an -particle and an electron, separated by a distance of 1 Å is -, , (2) Charge is conserved, , (1) 1, Q.5, , When the distance between two charged particle, is halved, the force between them becomes (1) One fourth, (2) One half, (3) Double, (4) Four times, The force between two point charges in vacuum, is 15N, if a brass plate is introduced between the, two charges, then force between them will(1) Becomes zero, (2) Remains the same, (3) Becomes 30 N, (4) Becomes 60 N, , (1) 2.3 × 10–8 N attractive, (2) 2.3 × 10–8 N Repulsive, , (4) A stationary charge produces both electric, and magnetic fields, Q.4, , +Q, , B, , , , (2) It is moved towards B., , (1) Protons are added to it., (2) Protons are removed from it., , Q.3, , C, –q, , , , (2) 0.894 × 10–2 m, (4) 8.94 × 102 m, , A certain charge Q is divided at first into two, parts, (q) and (Q-q). Later on the charges are, placed at a certain distance. If the force of, interaction between the two charges is maximum, then(1) (Q/q) = (4/1), , (2) (Q/q) = (2/1), , (3)(Q/q) = (3/1), , (4) (Q/q) = (5/1), , Shashtri Nagar, Sultanpur, 7014344748

Page 3 :

Physics by Shivendra Sir, Q.15, , A unit charge is one which when placed in, vacuum one cm from an equal charge of the same, kind will repel it with a force of(1) 1 N, (3) 2 dyne, , Q.16, , (2) 1 dyne, (4) 4 dyne, , The force between two point charges placed in, vacuum at distance 1 mm is 18 N. If a glass plate, of thickness 1 mm and dielectric constant 6, be, kept between the charges then new force, between them would be-, , Q.23, , Q.24, , (3) 3 N, (4) 3 × 10–6 N, , Q.18, , Q.19, , Q.20, , (1) 40 C, , (2) 20C, , (3) 4C, , (4) 2C, , (2) 1 : 1, , (3) 10º, , (4) 10-43, , The three charges each of 5 × 10–6 coloumb are, placed at vertex of an equilateral triangle of side, 10cm. The force exerted on the charge of 1 , C placed at centre of triangle in newton will be, (1) 13.5, , (2) zero, , (3) 4.5, , (4) 6.75, , A point charge q1 exerts a force F upon another, charge q2. If one other charge q3 be placed quite, near to charge q2, then the froce that charge q1, exerts on the charge q2 will be, (1) F, , Q.21, , (3) < F, , (4) zero, , ABC is a right angle triangle AB=3cm, BC=4cm, charges + 15, +12, –12 esu are placed at A, B and, C respectively. The magnitude of the force, experienced by the charge at B in dyne is(1) 125, (3) 22, , Q.22, , (2) >F, , Three equal charges (q) are placed at corners of a, equilateral triangle. The force on any charge is(2) 3, , Q.25, , Kq2, 3a, , Kq2, a2, Kq 2, , (4) 3 3, , 2, , a2, , Five point charges, each of value +q coulomb, are, placed on five vertices of a regular hexagon of, side L metre. The magnitude of the force on a, point charge of value -q coul. placed at the centre, of the hexagon is (1), , kq2, L2, , (2), , 5, , kq2, L2, , (3), , 3, , kq2, L2, , (4) Zero, , Two charges 4q and q are placed 30 cm. apart. At, what point the value of electric field will be zero, (1) 10 cm. away from q and between the charge, (2) 20 cm. away from q and between the charge, (3) 10 cm. away from q and out side the line, joining the charge., , There are two charges +1 micro-coulomb and +5, micro-coulomb, the ratio of force on them will be–, (1) 1043, , (4) 15 N, , (3), , (2) 108 N, , Two similar and equal charges repel each other, with force of 1.6 N, when placed 3m apart., Strength of each charge is-, , (2) 10 N, , (3) 0 N, , (1) Zero, , (1) 18 N, , Q.17, , (1) 5 N, , (4) 10 cm. away from 4q and out side the line, joining them., Q.26, , Q.27, , Four equal but like charge are placed at four, corners of a square. The electric field intensity at, the center of the square due to any one charge, is E, then the resultant electric field intensity at, centre of square will be :, (1) Zero, , (2) 4E, , (3) E, , (4) 1/2E, , A proton is first placed at A and then at B between, the two plates of a parallel plate capacitor charged, to a P.D. of V volt as shown. Then force on proton, at A is+, B -(1) more than at B, +, (2) less than at B, (3) equal to that at B, (4) nothing can be said, , (2) 35, (4) 0, , Equal charges of each 2C are placed at a point, x = 0, 2, 4, and 8 cm on the x-axis. The force, experienced by the charge at x=2 cm is equal to Shashtri Nagar, Sultanpur, 7014344748, , +, +, + A, +, +, +, +, , -

Physics by Shivendra Sir, Q.15, , A unit charge is one which when placed in, vacuum one cm from an equal charge of the same, kind will repel it with a force of(1) 1 N, (3) 2 dyne, , Q.16, , (2) 1 dyne, (4) 4 dyne, , The force between two point charges placed in, vacuum at distance 1 mm is 18 N. If a glass plate, of thickness 1 mm and dielectric constant 6, be, kept between the charges then new force, between them would be-, , Q.23, , Q.24, , (3) 3 N, (4) 3 × 10–6 N, , Q.18, , Q.19, , Q.20, , (1) 40 C, , (2) 20C, , (3) 4C, , (4) 2C, , (2) 1 : 1, , (3) 10º, , (4) 10-43, , The three charges each of 5 × 10–6 coloumb are, placed at vertex of an equilateral triangle of side, 10cm. The force exerted on the charge of 1 , C placed at centre of triangle in newton will be, (1) 13.5, , (2) zero, , (3) 4.5, , (4) 6.75, , A point charge q1 exerts a force F upon another, charge q2. If one other charge q3 be placed quite, near to charge q2, then the froce that charge q1, exerts on the charge q2 will be, (1) F, , Q.21, , (3) < F, , (4) zero, , ABC is a right angle triangle AB=3cm, BC=4cm, charges + 15, +12, –12 esu are placed at A, B and, C respectively. The magnitude of the force, experienced by the charge at B in dyne is(1) 125, (3) 22, , Q.22, , (2) >F, , Three equal charges (q) are placed at corners of a, equilateral triangle. The force on any charge is(2) 3, , Q.25, , Kq2, 3a, , Kq2, a2, Kq 2, , (4) 3 3, , 2, , a2, , Five point charges, each of value +q coulomb, are, placed on five vertices of a regular hexagon of, side L metre. The magnitude of the force on a, point charge of value -q coul. placed at the centre, of the hexagon is (1), , kq2, L2, , (2), , 5, , kq2, L2, , (3), , 3, , kq2, L2, , (4) Zero, , Two charges 4q and q are placed 30 cm. apart. At, what point the value of electric field will be zero, (1) 10 cm. away from q and between the charge, (2) 20 cm. away from q and between the charge, (3) 10 cm. away from q and out side the line, joining the charge., , There are two charges +1 micro-coulomb and +5, micro-coulomb, the ratio of force on them will be–, (1) 1043, , (4) 15 N, , (3), , (2) 108 N, , Two similar and equal charges repel each other, with force of 1.6 N, when placed 3m apart., Strength of each charge is-, , (2) 10 N, , (3) 0 N, , (1) Zero, , (1) 18 N, , Q.17, , (1) 5 N, , (4) 10 cm. away from 4q and out side the line, joining them., Q.26, , Q.27, , Four equal but like charge are placed at four, corners of a square. The electric field intensity at, the center of the square due to any one charge, is E, then the resultant electric field intensity at, centre of square will be :, (1) Zero, , (2) 4E, , (3) E, , (4) 1/2E, , A proton is first placed at A and then at B between, the two plates of a parallel plate capacitor charged, to a P.D. of V volt as shown. Then force on proton, at A is+, B -(1) more than at B, +, (2) less than at B, (3) equal to that at B, (4) nothing can be said, , (2) 35, (4) 0, , Equal charges of each 2C are placed at a point, x = 0, 2, 4, and 8 cm on the x-axis. The force, experienced by the charge at x=2 cm is equal to Shashtri Nagar, Sultanpur, 7014344748, , +, +, + A, +, +, +, +, , -

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Physics by Shivendra Sir, Q.28, , If mass of the electron = 9.1 × 10–31 Kg. Charge on, the electron = 1.6 × 10 –19 coulomb and, g = 9.8 m/s2. Then the intensity of the electric, field required to balance the weight of an, electron is(1) 5.6 × 10-9 N/C, (3) 5.6 × 10–8 N/C, , Q.29, , Q.30, , Q.34, , (2) 5.6 × 10–11 N/C, (4) 5.6 × 10–7 N/C, , Six charges +Q each are placed at the corners of, a regular hexagon of side (a), the electric field at, the centre of hexagon is(1) Zero, , 1 6Q 2, ., (2), 4 0 a 2, , 1, Q2, . 2, (3), 4 0 a, , 1, 6Q 2, ., (4) 4 , 0 a 2, , Two charged spheres A and B are charged with, the charges of +10 and +20 coul. respectively, and separated by a distance of 80cm. The electric, field at a point on the line joining the centres of, the two sphers will be zero at a distance from, sphere A., (1) 20 cm, (3) 55 cm, , Q.35, , (1), , (3), Q.32, , 4 0 .a 2, 4 2q, 0 .a 2, 4 2q, , In electric field, a 6.75, , (2), , Q.36, , Q.37, , Q.39, , 4 0 .a 2, Q.40, , 2.5 N force, when placed at distance of 5m from, the origin. Then potential gradient at this point, will be- (in M.K.S.), , Q.33, , (2) 3.71 × 105, , (3) 18.81 × 105, , (4) 1.881 × 105, , A small circular ring has a uniform charge, distribution. On a far-off axial point distance x, from the centre of the ring, the electric field is, proportional to-, , When charge of 3 coulomb is placed in a, Uniform electric field , it experiences a force of, 3000 newton, within this field, potential, difference between two points separated by a, distance of 1 cm is-, , Q.41, , (2) 90 Volt, (4) 3000 Volt., , A uniform electric field having a magnitude E0, and direction along positive x-axis exists.If the, electric potential(V) is zero at x = 0 then its, value at x = + x will be(2) Vx = –x.E0, (4) Vx = x2 E0, , The dimensions of potential difference is (1) ML2T–2Q–1, (2) MLT–2Q–1, (4) ML2 T–1 Q–1, , 1 e.s.u. of potential is equal to(1) 1/300 volt, , (2) 8 ×1010 volt, , (3) 300 volt, , (4) 3 volt, , The earth's surface is considered to be at (1) Zero potential, , (2) Negative Potential, , (3) Infinite Potential, , (4) Positive Potential, , The electric potential V at any point (x, y, z) in, space is given by V = 4x2 volt. The electric field, E in V/m at the point (1, 0, 2) is (1) +8 in x direction, (3) 16 in + x direction, , C charge experiences, , (1) 5.71 × 105, , (4) x5/4, , (3) MT –2Q–2, , 4 2q, , (4) 4 2q, 0 .a 2, , (3) x–2, , (1) Vx = x E0, (3) Vx = x2 E0, , (2) 33 cm, (4) 60 cm., , Four charges +q, +q, –q and –q are placed, respectively at the corners A, B, C and D of a, square of side (a), arranged in the given order., Calculate the intensity at (O) the centre of the, square ., , (2) x–3/2, , (1) 10 Volt, (3) 1000 Volt, , Q.38, Q.31, , (1) x–1, , (2) 8 in –x direction, (4) 16 in –x direction, , ABC is equilateral triangle of side 1m. Charges, are placed at its corners as shown in fig. O is the, mid- point of side BC the potential at point (O), is(1) 2.7 × 103 V, , (2) 1.52 × 105 V, , (3) 1.3 × 103 V, , (4) – 1.52 × 105 V, , In a region where E = 0, the potential (V) varies, with distance r as(1) V, , 1, r, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, Q.28, , If mass of the electron = 9.1 × 10–31 Kg. Charge on, the electron = 1.6 × 10 –19 coulomb and, g = 9.8 m/s2. Then the intensity of the electric, field required to balance the weight of an, electron is(1) 5.6 × 10-9 N/C, (3) 5.6 × 10–8 N/C, , Q.29, , Q.30, , Q.34, , (2) 5.6 × 10–11 N/C, (4) 5.6 × 10–7 N/C, , Six charges +Q each are placed at the corners of, a regular hexagon of side (a), the electric field at, the centre of hexagon is(1) Zero, , 1 6Q 2, ., (2), 4 0 a 2, , 1, Q2, . 2, (3), 4 0 a, , 1, 6Q 2, ., (4) 4 , 0 a 2, , Two charged spheres A and B are charged with, the charges of +10 and +20 coul. respectively, and separated by a distance of 80cm. The electric, field at a point on the line joining the centres of, the two sphers will be zero at a distance from, sphere A., (1) 20 cm, (3) 55 cm, , Q.35, , (1), , (3), Q.32, , 4 0 .a 2, 4 2q, 0 .a 2, 4 2q, , In electric field, a 6.75, , (2), , Q.36, , Q.37, , Q.39, , 4 0 .a 2, Q.40, , 2.5 N force, when placed at distance of 5m from, the origin. Then potential gradient at this point, will be- (in M.K.S.), , Q.33, , (2) 3.71 × 105, , (3) 18.81 × 105, , (4) 1.881 × 105, , A small circular ring has a uniform charge, distribution. On a far-off axial point distance x, from the centre of the ring, the electric field is, proportional to-, , When charge of 3 coulomb is placed in a, Uniform electric field , it experiences a force of, 3000 newton, within this field, potential, difference between two points separated by a, distance of 1 cm is-, , Q.41, , (2) 90 Volt, (4) 3000 Volt., , A uniform electric field having a magnitude E0, and direction along positive x-axis exists.If the, electric potential(V) is zero at x = 0 then its, value at x = + x will be(2) Vx = –x.E0, (4) Vx = x2 E0, , The dimensions of potential difference is (1) ML2T–2Q–1, (2) MLT–2Q–1, (4) ML2 T–1 Q–1, , 1 e.s.u. of potential is equal to(1) 1/300 volt, , (2) 8 ×1010 volt, , (3) 300 volt, , (4) 3 volt, , The earth's surface is considered to be at (1) Zero potential, , (2) Negative Potential, , (3) Infinite Potential, , (4) Positive Potential, , The electric potential V at any point (x, y, z) in, space is given by V = 4x2 volt. The electric field, E in V/m at the point (1, 0, 2) is (1) +8 in x direction, (3) 16 in + x direction, , C charge experiences, , (1) 5.71 × 105, , (4) x5/4, , (3) MT –2Q–2, , 4 2q, , (4) 4 2q, 0 .a 2, , (3) x–2, , (1) Vx = x E0, (3) Vx = x2 E0, , (2) 33 cm, (4) 60 cm., , Four charges +q, +q, –q and –q are placed, respectively at the corners A, B, C and D of a, square of side (a), arranged in the given order., Calculate the intensity at (O) the centre of the, square ., , (2) x–3/2, , (1) 10 Volt, (3) 1000 Volt, , Q.38, Q.31, , (1) x–1, , (2) 8 in –x direction, (4) 16 in –x direction, , ABC is equilateral triangle of side 1m. Charges, are placed at its corners as shown in fig. O is the, mid- point of side BC the potential at point (O), is(1) 2.7 × 103 V, , (2) 1.52 × 105 V, , (3) 1.3 × 103 V, , (4) – 1.52 × 105 V, , In a region where E = 0, the potential (V) varies, with distance r as(1) V, , 1, r, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, (2) V r, (3) V, , 1, , r2, (4) V = const. independent of (r), , Q.42, , 10 , Charges of + × 10–9 are placed at each of, 3 , the four corners of a square of side 8cm. The, , Q.48, , potential at the intersection of the diagonals is, , Q.43, , (1) 150, , 2 Volt, , (2) 1500, , 2 Volt, , (3) 900, , 2 Volt, , (4) 900 Volt, , The surface of a conductor -, , Q, (1) 4 r, 0, , QQ', (2) 4 r, 0, , Q', (3) 4 r, 0, , (4) 0, , Three charges are placed as shown in fig if the, electric potential energy of system is zero, then, Q : q(1), , Q 2, , q, 1, , (2), , Q 2, , q 1, , (3), , Q 1, , q, 2, , (4), , Q, 1, q, 4, , (1) is a non-equipotential surface, (2) has all the points at the same potential, , Q.44, , Q.49, , (3) has different points at different potential, , If a unit charge is taken from one point to, another over an equipotential surface then-, , (4) has at least two points at the same potential, , (1) Work is done on the charge, (2) Work is done by the charge, , The electron potential (V) as a function of, , (3) Work on the charge is constant, (4) No work is done, , distance (x) [in meters] is given by, V = (5x2 + 10 x – 9)Volt., The value of electric field at x =1m would be-, , Q.45, , (1) 20 Volt/m, , (2) 6 Volt/m, , (3) 11 Volt/m, , (4) –23 Volt/m, , Q.50, , (1) Resistance, (2) Potential difference, , Some equipotential lines are as shown is fig. E1,, E2 and E3 are the electric fields at points 1, 2 and, , (3) Intensity of electric field, (4) Capacitance, , 3 then (1) E1 = E2 = E3, (2) E1 > E2 > E3, (3) E1 > E2, E2< E3, (4) E1 < E2 < E3 70V, , 1, 2, , Q.51, , 60V, 50V, , Q.46, , 3, , of n equilateral triangle. At the center of the, , Q.52, , triangle., (1) The field is zero but potential is not zero., (2) he field is non-zero but the potential is zero., (3) Both, field and potential are zero., (4) Both, field and potential are non- zero, Q.47, , A point positive charge of Q' units is moved, roundanother point positive charge of Q units, in circular path.If the radius of the circle r is the, wok done on the charge Q' in making one, complete revolution i -, , The K.E. in electron Volt gained by an -particle, when it moves from rest at point where its, potential is 70 to a point where potential is 50, volts, is (1) 20 eV, (3) 40 eV, , 40V 30V 20V, , Three charges 2q, -q, -q are located at the vertices, , In an electric field the work done in moving a unit, positive charge between two points is the, measures of-, , Q.53, , (2) 20 MeV., (4) 40 MeV., , A - particle moves towards a rest nucleus, if, kinetic energy of -particle is 10 MeV and, atomic number of nucleus is 50. The closest, approach will be –, (1) 1.44 × 10–14 m, (2) 2.88 × 10–14 m, (3) 1.44 × 10–10 m, (4) 2.88 × 10–10 m, The tangent drawn at a point on a line of, electric force shows the(1) intensity of gravity field, (2) intensity of magnetic field, (3) intensity of electric field, (4) direction of electric field, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, (2) V r, (3) V, , 1, , r2, (4) V = const. independent of (r), , Q.42, , 10 , Charges of + × 10–9 are placed at each of, 3 , the four corners of a square of side 8cm. The, , Q.48, , potential at the intersection of the diagonals is, , Q.43, , (1) 150, , 2 Volt, , (2) 1500, , 2 Volt, , (3) 900, , 2 Volt, , (4) 900 Volt, , The surface of a conductor -, , Q, (1) 4 r, 0, , QQ', (2) 4 r, 0, , Q', (3) 4 r, 0, , (4) 0, , Three charges are placed as shown in fig if the, electric potential energy of system is zero, then, Q : q(1), , Q 2, , q, 1, , (2), , Q 2, , q 1, , (3), , Q 1, , q, 2, , (4), , Q, 1, q, 4, , (1) is a non-equipotential surface, (2) has all the points at the same potential, , Q.44, , Q.49, , (3) has different points at different potential, , If a unit charge is taken from one point to, another over an equipotential surface then-, , (4) has at least two points at the same potential, , (1) Work is done on the charge, (2) Work is done by the charge, , The electron potential (V) as a function of, , (3) Work on the charge is constant, (4) No work is done, , distance (x) [in meters] is given by, V = (5x2 + 10 x – 9)Volt., The value of electric field at x =1m would be-, , Q.45, , (1) 20 Volt/m, , (2) 6 Volt/m, , (3) 11 Volt/m, , (4) –23 Volt/m, , Q.50, , (1) Resistance, (2) Potential difference, , Some equipotential lines are as shown is fig. E1,, E2 and E3 are the electric fields at points 1, 2 and, , (3) Intensity of electric field, (4) Capacitance, , 3 then (1) E1 = E2 = E3, (2) E1 > E2 > E3, (3) E1 > E2, E2< E3, (4) E1 < E2 < E3 70V, , 1, 2, , Q.51, , 60V, 50V, , Q.46, , 3, , of n equilateral triangle. At the center of the, , Q.52, , triangle., (1) The field is zero but potential is not zero., (2) he field is non-zero but the potential is zero., (3) Both, field and potential are zero., (4) Both, field and potential are non- zero, Q.47, , A point positive charge of Q' units is moved, roundanother point positive charge of Q units, in circular path.If the radius of the circle r is the, wok done on the charge Q' in making one, complete revolution i -, , The K.E. in electron Volt gained by an -particle, when it moves from rest at point where its, potential is 70 to a point where potential is 50, volts, is (1) 20 eV, (3) 40 eV, , 40V 30V 20V, , Three charges 2q, -q, -q are located at the vertices, , In an electric field the work done in moving a unit, positive charge between two points is the, measures of-, , Q.53, , (2) 20 MeV., (4) 40 MeV., , A - particle moves towards a rest nucleus, if, kinetic energy of -particle is 10 MeV and, atomic number of nucleus is 50. The closest, approach will be –, (1) 1.44 × 10–14 m, (2) 2.88 × 10–14 m, (3) 1.44 × 10–10 m, (4) 2.88 × 10–10 m, The tangent drawn at a point on a line of, electric force shows the(1) intensity of gravity field, (2) intensity of magnetic field, (3) intensity of electric field, (4) direction of electric field, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, Q.54, , Q.55, , Which of the following statements concerning, the electrostatics is correct(1) electric line of force never intersect each, other, (2) electric lines of force start from positive, charge and end at the negative charge, (3) electric lines of force start or ends, perpendicular to the surface of a charged, metal., (4) all of the above, When no charge is confined with in the, Gauss’s surface, it implies that(1) E = 0, , , , , , , , , , , , , Q.60, , (4) 2q/ 0, , Electric lines of forces(1) Exist everywhere, (2) Are imaginary, (3) Exist only in the immediate vicinity of electric, charges, (4) None of the above, Which one of the following diagrams shows the, correct lines of force ?, , Q.63, , Q.57, , (3) q/ 0, , Q.62, , (4) E and ds are inclined at some angle, , (1) zero, (3) negative, , (2) zero, , If the electric field is uniform, then the electric, lines of forces are(1) Divergent, (2) Convergent, (3) Circular, (4) Parallel, , (3) E and ds are mutually perpendicular, , If three electric di-poles are placed in some, closed surface, then the electric flux emitting, from the surface will be-, , (1) – q/ 0, , Q.61, , (2) E and ds are parallel, , Q.56, , A charge q is inside a closed surface and charge, – q is outside. The out going electric flux is-, , (1), , (2) positive, (4) None, , +, , For which of the following fields, Gauss’s law, is valid(1) fields following square inverse law, (2) uniform field, , (2), +, , (3) all types of field, (4) this law has no concern with the field, Q.58, , Q.59, , A charge of Q coloumb is located at the centre, of a cube. If the corner of the cube is taken as, the origin, then the flux coming out from the, faces of the cube in the direction of X- axis, will be(1) 4 Q, , (2) Q/6 0, , (3) Q/3 0, , (4) Q/4 0, , (3), , (4), , A rectangular surface of 2 metre width and 4, metre length, is placed in an electric field of, intensity 20 newton/C, there is an angle of 60º, between the perpendicular to surface and, electrical field intensity. Then total flux emitted, from the surface will be- (In Volt- metre), (1) 80, (2) 40, (3) 20, (4) 160, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, Q.54, , Q.55, , Which of the following statements concerning, the electrostatics is correct(1) electric line of force never intersect each, other, (2) electric lines of force start from positive, charge and end at the negative charge, (3) electric lines of force start or ends, perpendicular to the surface of a charged, metal., (4) all of the above, When no charge is confined with in the, Gauss’s surface, it implies that(1) E = 0, , , , , , , , , , , , , Q.60, , (4) 2q/ 0, , Electric lines of forces(1) Exist everywhere, (2) Are imaginary, (3) Exist only in the immediate vicinity of electric, charges, (4) None of the above, Which one of the following diagrams shows the, correct lines of force ?, , Q.63, , Q.57, , (3) q/ 0, , Q.62, , (4) E and ds are inclined at some angle, , (1) zero, (3) negative, , (2) zero, , If the electric field is uniform, then the electric, lines of forces are(1) Divergent, (2) Convergent, (3) Circular, (4) Parallel, , (3) E and ds are mutually perpendicular, , If three electric di-poles are placed in some, closed surface, then the electric flux emitting, from the surface will be-, , (1) – q/ 0, , Q.61, , (2) E and ds are parallel, , Q.56, , A charge q is inside a closed surface and charge, – q is outside. The out going electric flux is-, , (1), , (2) positive, (4) None, , +, , For which of the following fields, Gauss’s law, is valid(1) fields following square inverse law, (2) uniform field, , (2), +, , (3) all types of field, (4) this law has no concern with the field, Q.58, , Q.59, , A charge of Q coloumb is located at the centre, of a cube. If the corner of the cube is taken as, the origin, then the flux coming out from the, faces of the cube in the direction of X- axis, will be(1) 4 Q, , (2) Q/6 0, , (3) Q/3 0, , (4) Q/4 0, , (3), , (4), , A rectangular surface of 2 metre width and 4, metre length, is placed in an electric field of, intensity 20 newton/C, there is an angle of 60º, between the perpendicular to surface and, electrical field intensity. Then total flux emitted, from the surface will be- (In Volt- metre), (1) 80, (2) 40, (3) 20, (4) 160, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, Q.64, , In fig. shown the electric lines of force emerging, from a charged body. If the electric fields at A, and B are EA and EB are respectively, If the, distance between A and B is r then (1) EA> EB, (2) EA<EB, (3) EA= EB, , r, , A, , Q.71, , (1) Proportional to R, (2) Independent of R and, , B, , (3) Inversely proportional to (R+r)2, (4) inversely proportional to r2, , (4) EA= (EB)/r2, Q.65, , A surface enclosed an electric dipole, the flux, through the surface is(1) Infinite, (3) Negative, , Q.66, , Q.67, , (2) 0/q, , (3) q0, , (4), , q, 0, , (3), , Q(r R ), 4 0 (R 2 r 2 ), , 2, , (2), , Q.74, , Q.75, , Q(R r ), 4 0 (r R), , The electric field inside a spherical shell of, uniform surface charge density is (1) Zero, , A hollow metal sphere of radius 5cm is charged, such that the potential on its surface is 10V. The, potential at the centre of the sphere is (1) 0V, (2) 10V, (4) Same as at point 25cm away from the surface, , 2, , (4) none of these, , (2) 8.85 × 106, (4) Zero, , (3) Same as at point 5cm away from the surface, , (4) (36 ) × 10–6, , A charge Q is distributed over two concentric, hollow spheres of radii (r) and (R) > (r) such the, surface densities are equal. Find the potential at, the common centre., , Q, (r R), (1) 4 , (R r )2, 0, , Q.69, , Q.73, , A square of side 20cm. is enclosed by a surface, of sphere of 80 cm. radius . square and sphere, have the same centre. four charges +2 × 10–6 c,, –5 × 10–6 c, –3 × 10–6 c, +6 × 10–6c are located, at the four corners of a square, Then out going, total flux from spherical surface in N-m2/c will be, (1) zero, (2) (16) × 10–6, , A spherical conductor of radius 50 cm has a, surface charge density of 8.85 x 10-6 C/m2 . The, electric field near the surface in N/C is(1) 8.85 × 10–6, (3) 1 × 106, , Total flux coming out of some closed surface is, , (3) (8) × 10–6, Q.68, , Q.72, , (2) Positive, (4) Zero, , (1) q/0, , A large isolated metal sphere of radius (R) carries, a fixed charge. A small charge is placed at a, distance (r) from its surface experiences a force, which is -, , A solid conducting sphere having a charge Q is, surrounded by an uncharged concentric conducting hollow spherical shell Let the potential, difference between the surface of the solid, sphere and that of the outer surface of the hollow, shell be V. If the shell is now given a charge of, 3Q the new potential difference between the same, two surfaces is, (1) V, , (2) 2V, , (3) 4V, , (4) –2V, , The electric field intensity at a point located at, distance r (r < R) from the center of a spherical, conductor (radius R) charged Q will be (1) kQR/r3, (3) kQ/r2, , Q.76, , (2) kQr/R3, (4) zero., , The dependence of electric potential V on the, distance 'r' from the centre of a charged spherical, shell is shown by., , V, , V, , (2) Constant, different from zero, (3) Proportional to the distance from the centre, , (1), , (4) None of the above\, Q.70, , (2), , r, , r, , The electric potential at the surface of an atomic, nucleus (Z = 50) of radius 9 × 10–15 m is (1) 80V, , (2) 8 × 106 V, , (3) 8 × 104 V, , (4) 8 × 102 V, , V, , V, , (3), , Shashtri Nagar, Sultanpur, 7014344748, , (4), , r, , r

Physics by Shivendra Sir, Q.64, , In fig. shown the electric lines of force emerging, from a charged body. If the electric fields at A, and B are EA and EB are respectively, If the, distance between A and B is r then (1) EA> EB, (2) EA<EB, (3) EA= EB, , r, , A, , Q.71, , (1) Proportional to R, (2) Independent of R and, , B, , (3) Inversely proportional to (R+r)2, (4) inversely proportional to r2, , (4) EA= (EB)/r2, Q.65, , A surface enclosed an electric dipole, the flux, through the surface is(1) Infinite, (3) Negative, , Q.66, , Q.67, , (2) 0/q, , (3) q0, , (4), , q, 0, , (3), , Q(r R ), 4 0 (R 2 r 2 ), , 2, , (2), , Q.74, , Q.75, , Q(R r ), 4 0 (r R), , The electric field inside a spherical shell of, uniform surface charge density is (1) Zero, , A hollow metal sphere of radius 5cm is charged, such that the potential on its surface is 10V. The, potential at the centre of the sphere is (1) 0V, (2) 10V, (4) Same as at point 25cm away from the surface, , 2, , (4) none of these, , (2) 8.85 × 106, (4) Zero, , (3) Same as at point 5cm away from the surface, , (4) (36 ) × 10–6, , A charge Q is distributed over two concentric, hollow spheres of radii (r) and (R) > (r) such the, surface densities are equal. Find the potential at, the common centre., , Q, (r R), (1) 4 , (R r )2, 0, , Q.69, , Q.73, , A square of side 20cm. is enclosed by a surface, of sphere of 80 cm. radius . square and sphere, have the same centre. four charges +2 × 10–6 c,, –5 × 10–6 c, –3 × 10–6 c, +6 × 10–6c are located, at the four corners of a square, Then out going, total flux from spherical surface in N-m2/c will be, (1) zero, (2) (16) × 10–6, , A spherical conductor of radius 50 cm has a, surface charge density of 8.85 x 10-6 C/m2 . The, electric field near the surface in N/C is(1) 8.85 × 10–6, (3) 1 × 106, , Total flux coming out of some closed surface is, , (3) (8) × 10–6, Q.68, , Q.72, , (2) Positive, (4) Zero, , (1) q/0, , A large isolated metal sphere of radius (R) carries, a fixed charge. A small charge is placed at a, distance (r) from its surface experiences a force, which is -, , A solid conducting sphere having a charge Q is, surrounded by an uncharged concentric conducting hollow spherical shell Let the potential, difference between the surface of the solid, sphere and that of the outer surface of the hollow, shell be V. If the shell is now given a charge of, 3Q the new potential difference between the same, two surfaces is, (1) V, , (2) 2V, , (3) 4V, , (4) –2V, , The electric field intensity at a point located at, distance r (r < R) from the center of a spherical, conductor (radius R) charged Q will be (1) kQR/r3, (3) kQ/r2, , Q.76, , (2) kQr/R3, (4) zero., , The dependence of electric potential V on the, distance 'r' from the centre of a charged spherical, shell is shown by., , V, , V, , (2) Constant, different from zero, (3) Proportional to the distance from the centre, , (1), , (4) None of the above\, Q.70, , (2), , r, , r, , The electric potential at the surface of an atomic, nucleus (Z = 50) of radius 9 × 10–15 m is (1) 80V, , (2) 8 × 106 V, , (3) 8 × 104 V, , (4) 8 × 102 V, , V, , V, , (3), , Shashtri Nagar, Sultanpur, 7014344748, , (4), , r, , r

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Physics by Shivendra Sir, Q.83, Q.77, , Q.78, , Q.79, , Q.80, , If an electric dipole is kept in a unifrom electric, field , Then it will experience, (1) a force, (2) a couple and mover, (3) a couple and rotates, (4) a force and moves., An electric dipole consists of two opposite, charges each of magnitude 1 × 10–6 C separated, by a distance 2cm. The dipole is placed in an, external field of 10 × 105N/C. The maximum, torque on the dipole is (1) 0.2 × 10–3 N-m, (2) 1.0 × 10–3 N-m, (3) 20 × 10-3 N-m, (4) 4 × 10–3 N-m, The ratio of the electric field due to an electric, dipole on its axis and on the perpendicular, bisector of the dipole is(1) 1 : 2, , (2) 2 : 1, , (3) 1 : 4, , (4) 4 : 1, , Point charges each of magnitude Q are placed at, three corners of a square as shown in the diagram., What is the direction of the resultant electric, field at the fourth corner ?, C, B, D, +Q, A, E, , (1) OC, Q.84, , Q.85, , The region surrounding a stationary electric, dipole has-, , Q.81, , The electric potential at a point due to an, electric dipole will be., , , (1) k, , p. r, r3, , , , (2) 9.8 × 105, , (3) 9.8 × 103, , (4) 9.8 × 101, , A charge Q is placed at the centre of a square., If electric field intensity due to the charge at the, corners of square is E1 and the intensity at the, mid point of the side of square is E2, then the, E1, ratio of E will be2, , (2) k, , (4), , 2, , r2, , , (2), , 2, , (3), , 1, 2, , (4) 2, , Two charges of +25 × 10 –9 coulomb and, –25 × 10–9 coulomb are placed 6 m apart. Find, the electric field intensity ratio at points 4m from, the centre of the electric dipole (i) on axial line (ii), on equatorial line, (1), , p. r, , , , 1, , 1000, 49, 500, (3), 49, , , , , , (3) k ( p r ), r, Q.82, , Q.86, , (4) OB, , (1) 9.8 × 107, , (1), , (3) both electric and magnetic fields, (4) neither electric nor magnetic field, , –Q, (3) OD, , How many electrons should be removed from a, coin of mass 1.6 g, so that it may float in an electric, field of intensity 109 N/C directed upward ?, , (1) electric field only, (2) magnetic field only, , +Q, (2) OE, , 49, 1000, 49, (4), 500, , (2), , k( p r ), r2, , Q.87, , Which of the following is not true about electric, charge ?, , The electric force on a point charge situated on, the axis of a short dipole is F. If the charge is, shifted along the axis to double the distance, the, electric force acting will be-, , (1) Charge on a body is always integral multiple, of certain charge knonw as charge of, electron, , (1) 4F, , (2), , F, 2, , (2) Charge is a scalar quantity, , (3), , F, 4, , (4), , F, 8, , (3) Net charge on an isolated system is always, conserved, (4) Charge can be converted into energy and, energy can be converted into charge, , Q.88, , An electric dipole when placed in a uniform, electric field E will have minimum potential energy,, when the angle made by dipole moment with, field E is-, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, Q.83, Q.77, , Q.78, , Q.79, , Q.80, , If an electric dipole is kept in a unifrom electric, field , Then it will experience, (1) a force, (2) a couple and mover, (3) a couple and rotates, (4) a force and moves., An electric dipole consists of two opposite, charges each of magnitude 1 × 10–6 C separated, by a distance 2cm. The dipole is placed in an, external field of 10 × 105N/C. The maximum, torque on the dipole is (1) 0.2 × 10–3 N-m, (2) 1.0 × 10–3 N-m, (3) 20 × 10-3 N-m, (4) 4 × 10–3 N-m, The ratio of the electric field due to an electric, dipole on its axis and on the perpendicular, bisector of the dipole is(1) 1 : 2, , (2) 2 : 1, , (3) 1 : 4, , (4) 4 : 1, , Point charges each of magnitude Q are placed at, three corners of a square as shown in the diagram., What is the direction of the resultant electric, field at the fourth corner ?, C, B, D, +Q, A, E, , (1) OC, Q.84, , Q.85, , The region surrounding a stationary electric, dipole has-, , Q.81, , The electric potential at a point due to an, electric dipole will be., , , (1) k, , p. r, r3, , , , (2) 9.8 × 105, , (3) 9.8 × 103, , (4) 9.8 × 101, , A charge Q is placed at the centre of a square., If electric field intensity due to the charge at the, corners of square is E1 and the intensity at the, mid point of the side of square is E2, then the, E1, ratio of E will be2, , (2) k, , (4), , 2, , r2, , , (2), , 2, , (3), , 1, 2, , (4) 2, , Two charges of +25 × 10 –9 coulomb and, –25 × 10–9 coulomb are placed 6 m apart. Find, the electric field intensity ratio at points 4m from, the centre of the electric dipole (i) on axial line (ii), on equatorial line, (1), , p. r, , , , 1, , 1000, 49, 500, (3), 49, , , , , , (3) k ( p r ), r, Q.82, , Q.86, , (4) OB, , (1) 9.8 × 107, , (1), , (3) both electric and magnetic fields, (4) neither electric nor magnetic field, , –Q, (3) OD, , How many electrons should be removed from a, coin of mass 1.6 g, so that it may float in an electric, field of intensity 109 N/C directed upward ?, , (1) electric field only, (2) magnetic field only, , +Q, (2) OE, , 49, 1000, 49, (4), 500, , (2), , k( p r ), r2, , Q.87, , Which of the following is not true about electric, charge ?, , The electric force on a point charge situated on, the axis of a short dipole is F. If the charge is, shifted along the axis to double the distance, the, electric force acting will be-, , (1) Charge on a body is always integral multiple, of certain charge knonw as charge of, electron, , (1) 4F, , (2), , F, 2, , (2) Charge is a scalar quantity, , (3), , F, 4, , (4), , F, 8, , (3) Net charge on an isolated system is always, conserved, (4) Charge can be converted into energy and, energy can be converted into charge, , Q.88, , An electric dipole when placed in a uniform, electric field E will have minimum potential energy,, when the angle made by dipole moment with, field E is-, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, , 3, 2, , (4), 2, , (1) , (3) Zero, Q.89, , Q.90, , Q.91, , (4) Nothing certain can be said, , (2), , An electric dipole is placed at an angle 60º with, an electric field of strength 4 × 105 N/C. It, experiences a torque equal to 8 3 Nm., Calculate the charge on the dipole, if dipole is, of length 4cm (1) 10–1 C, (2) 10–2 C, –3, (3) 10 C, (4) 10–4 C, An electric dipole is placed in non-uniform, electric field. It may experience (1) Resultant force and couple, (2) Only resultant force, (3) Only couple, (4) All of these, , Q.93, , If an electric field is given by 10 î 3 ĵ 4k̂ ,, calculate the electric flux through a surface of, area 10 units lying in yz plane-, , Q.94, , Q.95, , (1) 100 units, , (2) 10 units, , (3) 30 units, , (4) 40 units, , Two isolated spheres of radii 2 cm and 4cm are, given equal charge, then the ratio of charge, density on the surfaces of the spheres will be(1) 1 : 2, , (2) 4 : 1, , (3) 8 : 1, , (4) 1 : 4, , ABC is an equilateral triangle. Charges +q are, placed at each corner. The electric field intensity, at the centroid of triangle will be-, , 1, q, (1) 4 2, r, 0, , An uncharged sphere of metal is placed in a, uniform electric field produced by two oppositely, charged plates. The lines of force will appear, as+ + + + +, , 1, 3q, (2) 4 2, r, 0, 1, q, (3) 4 r, 0, (4) zero, , (1), , –, +, , –, +, , Q.96, , – – –, + + +, , (2), , (3), , Q.97, , – – – – –, + + + + +, , (4), , Q.92, , –, , –, , –, , A charge of 1 coulomb is located at the centre, of a shpere of radius 10 cm and a cube of side, 20 cm. The ratio of outgoing flux from the, sphere and cube will be-, , r, , +q, B, , +q, C, , Two long thin charged rods with charge density, each are placed parallel to each other at a, distance d apart. The force per unit length, exerted on one rod by the other will be-, , (1), , –, , O, , , 1, where k , , 4, , 0, , , – – – – –, + + + + +, , –, , A +q, , k 2, k 22, (2), d, d, , , , , , (3), , k 2, d2, , (4), , k 22, d2, , The electric field intensity due to a thin infinite, long straight wire of uniform linear charge, density at O is + + + ++, +, ++, +, +, +, R, +, +++++, +++++, O, , 2, (1) 2 R, (2), 2, 0R, 0, (3), , 5, 2 0R, , (4) Zero, , (1) More than one, (2) Less than one, (3) One, , Q.98, , For two infinitely long charged parallel sheets,, the electric field at P will be-, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, , 3, 2, , (4), 2, , (1) , (3) Zero, Q.89, , Q.90, , Q.91, , (4) Nothing certain can be said, , (2), , An electric dipole is placed at an angle 60º with, an electric field of strength 4 × 105 N/C. It, experiences a torque equal to 8 3 Nm., Calculate the charge on the dipole, if dipole is, of length 4cm (1) 10–1 C, (2) 10–2 C, –3, (3) 10 C, (4) 10–4 C, An electric dipole is placed in non-uniform, electric field. It may experience (1) Resultant force and couple, (2) Only resultant force, (3) Only couple, (4) All of these, , Q.93, , If an electric field is given by 10 î 3 ĵ 4k̂ ,, calculate the electric flux through a surface of, area 10 units lying in yz plane-, , Q.94, , Q.95, , (1) 100 units, , (2) 10 units, , (3) 30 units, , (4) 40 units, , Two isolated spheres of radii 2 cm and 4cm are, given equal charge, then the ratio of charge, density on the surfaces of the spheres will be(1) 1 : 2, , (2) 4 : 1, , (3) 8 : 1, , (4) 1 : 4, , ABC is an equilateral triangle. Charges +q are, placed at each corner. The electric field intensity, at the centroid of triangle will be-, , 1, q, (1) 4 2, r, 0, , An uncharged sphere of metal is placed in a, uniform electric field produced by two oppositely, charged plates. The lines of force will appear, as+ + + + +, , 1, 3q, (2) 4 2, r, 0, 1, q, (3) 4 r, 0, (4) zero, , (1), , –, +, , –, +, , Q.96, , – – –, + + +, , (2), , (3), , Q.97, , – – – – –, + + + + +, , (4), , Q.92, , –, , –, , –, , A charge of 1 coulomb is located at the centre, of a shpere of radius 10 cm and a cube of side, 20 cm. The ratio of outgoing flux from the, sphere and cube will be-, , r, , +q, B, , +q, C, , Two long thin charged rods with charge density, each are placed parallel to each other at a, distance d apart. The force per unit length, exerted on one rod by the other will be-, , (1), , –, , O, , , 1, where k , , 4, , 0, , , – – – – –, + + + + +, , –, , A +q, , k 2, k 22, (2), d, d, , , , , , (3), , k 2, d2, , (4), , k 22, d2, , The electric field intensity due to a thin infinite, long straight wire of uniform linear charge, density at O is + + + ++, +, ++, +, +, +, R, +, +++++, +++++, O, , 2, (1) 2 R, (2), 2, 0R, 0, (3), , 5, 2 0R, , (4) Zero, , (1) More than one, (2) Less than one, (3) One, , Q.98, , For two infinitely long charged parallel sheets,, the electric field at P will be-, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, , , +, +, +, +, +, + x, +, +, +, +, , (1), , r, , , +, +, +, +, +, P +, +, +, +, +, , 9 10 4, (3), 2a, , Q.103, , , , , 2x 2(r x ), , Force between them, 2r, (3) Force between them × 2r, (4) Zero, , , (3) , 0, (4) Zero, , If an -particle and a proton are accelerated from, rest by a potential difference of 1 megavolt then, the ratio of their kinetic energy will be-, , , A dipole with an electric moment p is located, , (1), , Q.104, , at a distance r from a long thread charged, uniformly with a linear charge density . Find, , the force F acting on the dipole if the vector p, , Q.105, , is oriented along the thread, (1), , p, 2 0r 2, , p, (3) 2 r, 0, Q.100, , p, (2) 2 r, 0, , (1) 30 V, Q.106, , (4) It will have negative potential only, , (3) + 15 V, , (4) + 10 V, , (1), , (2), , 9 10 4, a 2, , 6 x(m), (2) 60 V (3) 40 V (4) 80 V, 2, , 4, , V, 4r, V, (4), 2r, (2), , Q.107, , Two metallic charged spheres whose radii are 20, cm and 10 cm respectively, each having 150, micro-coulomb positive charge. The common, potential after they are connected by a, conducting wire is(1) 9 × 106 V, (2) 4.5 × 106 V, (3) 1.8 × 107 V, (4) 13.6 × 106 V, , Q.108, , The work done in moving an electric charge q in, an electric field does not depend upon(1) Mass of the particle, (2) Potential difference between two points, , A charge of 10 µC is placed at the origin of xy coordinate system. The potential difference, between two points (0, a) and (a, 0) in volt will, be-, , 9 10 4, (1), a, , (4) 4, , A hollow charged metal sphere has radius r. If, the potential difference between its surface and, a point at a distance 3r from the centre is V, then, the electric field intensity at distance 3r from the, centre is V, 3r, V, (3), 6r, , If 50 Joule of work must be done to move an, electric charge of 2C from a point, where, potential is –10 volt to another point, where, potential is V volt. Hence the value of V is(2) –15 V, , (3) 2, , Figures shows the variation of electric field, intensity E versus distance x. What is the, potential difference between the points at, x = 2m and at x = 6m from O ?, E, (N/C), , O, , (3) It may have zero potential, , (1) 5 V, , (2) 1, , 10, 5, , The false statement for a negatively charged, object is(2) It may have positive potential, , Q.102, , 1, 2, , (4) Zero, , (1) It may have negative potential, , Q.101, , Two small spheres each carrying a charge q are, placed, distance r apart. If one of the spheres, is taken around the other in a circular path, the, work done will be equal to(1) Force between them × r, (2), , , , (2) 2 x 2(r x ), 0, 0, , Q.99, , (4) Zero, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, , , +, +, +, +, +, + x, +, +, +, +, , (1), , r, , , +, +, +, +, +, P +, +, +, +, +, , 9 10 4, (3), 2a, , Q.103, , , , , 2x 2(r x ), , Force between them, 2r, (3) Force between them × 2r, (4) Zero, , , (3) , 0, (4) Zero, , If an -particle and a proton are accelerated from, rest by a potential difference of 1 megavolt then, the ratio of their kinetic energy will be-, , , A dipole with an electric moment p is located, , (1), , Q.104, , at a distance r from a long thread charged, uniformly with a linear charge density . Find, , the force F acting on the dipole if the vector p, , Q.105, , is oriented along the thread, (1), , p, 2 0r 2, , p, (3) 2 r, 0, Q.100, , p, (2) 2 r, 0, , (1) 30 V, Q.106, , (4) It will have negative potential only, , (3) + 15 V, , (4) + 10 V, , (1), , (2), , 9 10 4, a 2, , 6 x(m), (2) 60 V (3) 40 V (4) 80 V, 2, , 4, , V, 4r, V, (4), 2r, (2), , Q.107, , Two metallic charged spheres whose radii are 20, cm and 10 cm respectively, each having 150, micro-coulomb positive charge. The common, potential after they are connected by a, conducting wire is(1) 9 × 106 V, (2) 4.5 × 106 V, (3) 1.8 × 107 V, (4) 13.6 × 106 V, , Q.108, , The work done in moving an electric charge q in, an electric field does not depend upon(1) Mass of the particle, (2) Potential difference between two points, , A charge of 10 µC is placed at the origin of xy coordinate system. The potential difference, between two points (0, a) and (a, 0) in volt will, be-, , 9 10 4, (1), a, , (4) 4, , A hollow charged metal sphere has radius r. If, the potential difference between its surface and, a point at a distance 3r from the centre is V, then, the electric field intensity at distance 3r from the, centre is V, 3r, V, (3), 6r, , If 50 Joule of work must be done to move an, electric charge of 2C from a point, where, potential is –10 volt to another point, where, potential is V volt. Hence the value of V is(2) –15 V, , (3) 2, , Figures shows the variation of electric field, intensity E versus distance x. What is the, potential difference between the points at, x = 2m and at x = 6m from O ?, E, (N/C), , O, , (3) It may have zero potential, , (1) 5 V, , (2) 1, , 10, 5, , The false statement for a negatively charged, object is(2) It may have positive potential, , Q.102, , 1, 2, , (4) Zero, , (1) It may have negative potential, , Q.101, , Two small spheres each carrying a charge q are, placed, distance r apart. If one of the spheres, is taken around the other in a circular path, the, work done will be equal to(1) Force between them × r, (2), , , , (2) 2 x 2(r x ), 0, 0, , Q.99, , (4) Zero, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, (3) Magnitude of charge, (4) All of these, Q.109, , Q.110, , , 1 , where k , , , 4 0 , , , When a test charge is brought in from infinity, along the perpendicular bisector of an electric, dipole, the work done is(1) Positive, (2) Zero, (3) Negative, (4) None of these, Calculate the work done in taking a charge –2, × 10–9 C from A to B via C(in diagram), z(cm), , Q.115, , x(cm), (1) 0.2 J, (2) 1.2 J, Q.111, , Q.116, , y(cm), , O, , (3) 2.2 J, , (2), , (3), , ke 2, r, , (4), , 10–6, , B, , m, , +, , +, , (3) VA < VB < VC, Q.117, , O, , (1), (2), (3), (4), Q.112, , Q.113, , 2, , 3 10V, 20V, 30V, 40V, , x(m), , 10 2 V/m at 45º with x-axis, 10 2 V/m at –45º with x-axis, 5 2 V/m at 45º with x-axis, 5 2 V/m at –45º with x-axis, , (1) 10 a( y î x ĵ ), , (2) 10 a[ y î x ĵ], , (3) a[ y î x ĵ], , (4) 10 a[ x î yk̂ ], , The electric potential in volts due to an electric, dipole of dipole moment 2 × 10–8 coulomb-metre, at a distance of 3m on a line making an angle of, 60º with the axis of the dipole is(2) 10, , (3) 20, , (4) 40, , The electrostatic potential energy of two, electrons separated by a distance r in air is, , (2) 2.53 × 10–10 m, (4) Zero, , +, , +, , (4) VA = VB = VC = 0, , An electric dipole of length 2 cm is placed with, its axis making an angle of 30º to a uniform, electric field 105 N/C. If it experiences a torque, of 10 3 Nm, then potential energy of the dipole-, , Q.118, , Determine the electric field strength vector if, the potential of this field depends on x, y, coordinates as V = 10 axy -, , (1) 0, Q.114, , 1, , e2, kr, , +, +, A, + + + + + + + + ++ ++, (1) VA = VB = VC, (2) VA > VB > VC, , y, , 135º, , r2, , In the following diagram, an isolated charged, conductor is shown. If VA is electric potential, at A, VB is electric potential at B and VC is, electric potential at C on the conductor, thenC, , (4) Zero, , Figure shows a set of euipotential surfaces. The, magnitude and direction of electric field that, exists in the region is-, , ke 2, , Two electrons are moving towards each other,, each with a velocity of 106 m/s. What will be, closest distance of approach between them ?, (3) 2.53 ×, , A(0,0,3), q=8mC, , e2, r, , (1) 1.53 × 10–8 m, , C(0,6,9), , B(0,4,0), , (1), , (1) –10 J, , (2) –20 J, , (3) – 30 J, , (4) –40 J, , Three charges –q, Q and –q are placed at equal, distances on a straight line. If the potential, energy of the system of three charges is zero,, then what is the ratio of Q : q ?, (1) 1 : 1, , Q.119, , Q.120, , (2) 1 : 2, , (3) 1 : 3, , (4) 1 : 4, , The potential gradient is a (1) Vector quantity, , (2) Scalar quantity, , (3) Conversion factor, , (4) Constant, , Two isolated metallic solid spheres of radii R, and 2R are charged, such that both of these, have same charge density . The spheres are, located far away from each other and connected, by a thin conducting wire. The new charge, density on the bigger sphere is(1), , 3, 2, , (2), , 5, 6, , (3), , 6, 5, , (4), , 2, 3, , Shashtri Nagar, Sultanpur, 7014344748

Physics by Shivendra Sir, (3) Magnitude of charge, (4) All of these, Q.109, , Q.110, , , 1 , where k , , , 4 0 , , , When a test charge is brought in from infinity, along the perpendicular bisector of an electric, dipole, the work done is(1) Positive, (2) Zero, (3) Negative, (4) None of these, Calculate the work done in taking a charge –2, × 10–9 C from A to B via C(in diagram), z(cm), , Q.115, , x(cm), (1) 0.2 J, (2) 1.2 J, Q.111, , Q.116, , y(cm), , O, , (3) 2.2 J, , (2), , (3), , ke 2, r, , (4), , 10–6, , B, , m, , +, , +, , (3) VA < VB < VC, Q.117, , O, , (1), (2), (3), (4), Q.112, , Q.113, , 2, , 3 10V, 20V, 30V, 40V, , x(m), , 10 2 V/m at 45º with x-axis, 10 2 V/m at –45º with x-axis, 5 2 V/m at 45º with x-axis, 5 2 V/m at –45º with x-axis, , (1) 10 a( y î x ĵ ), , (2) 10 a[ y î x ĵ], , (3) a[ y î x ĵ], , (4) 10 a[ x î yk̂ ], , The electric potential in volts due to an electric, dipole of dipole moment 2 × 10–8 coulomb-metre, at a distance of 3m on a line making an angle of, 60º with the axis of the dipole is(2) 10, , (3) 20, , (4) 40, , The electrostatic potential energy of two, electrons separated by a distance r in air is, , (2) 2.53 × 10–10 m, (4) Zero, , +, , +, , (4) VA = VB = VC = 0, , An electric dipole of length 2 cm is placed with, its axis making an angle of 30º to a uniform, electric field 105 N/C. If it experiences a torque, of 10 3 Nm, then potential energy of the dipole-, , Q.118, , Determine the electric field strength vector if, the potential of this field depends on x, y, coordinates as V = 10 axy -, , (1) 0, Q.114, , 1, , e2, kr, , +, +, A, + + + + + + + + ++ ++, (1) VA = VB = VC, (2) VA > VB > VC, , y, , 135º, , r2, , In the following diagram, an isolated charged, conductor is shown. If VA is electric potential, at A, VB is electric potential at B and VC is, electric potential at C on the conductor, thenC, , (4) Zero, , Figure shows a set of euipotential surfaces. The, magnitude and direction of electric field that, exists in the region is-, , ke 2, , Two electrons are moving towards each other,, each with a velocity of 106 m/s. What will be, closest distance of approach between them ?, (3) 2.53 ×, , A(0,0,3), q=8mC, , e2, r, , (1) 1.53 × 10–8 m, , C(0,6,9), , B(0,4,0), , (1), , (1) –10 J, , (2) –20 J, , (3) – 30 J, , (4) –40 J, , Three charges –q, Q and –q are placed at equal, distances on a straight line. If the potential, energy of the system of three charges is zero,, then what is the ratio of Q : q ?, (1) 1 : 1, , Q.119, , Q.120, , (2) 1 : 2, , (3) 1 : 3, , (4) 1 : 4, , The potential gradient is a (1) Vector quantity, , (2) Scalar quantity, , (3) Conversion factor, , (4) Constant, , Two isolated metallic solid spheres of radii R, and 2R are charged, such that both of these, have same charge density . The spheres are, located far away from each other and connected, by a thin conducting wire. The new charge, density on the bigger sphere is(1), , 3, 2, , (2), , 5, 6, , (3), , 6, 5, , (4), , 2, 3, , Shashtri Nagar, Sultanpur, 7014344748

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Physics by Shivendra Sir, , Answer, , Q .No., , 1, , 2, , 3, , 4, , 5, , 6, , 7, , 8, , 9, , 10, , 11, , 12, , 13, , 14, , 15, , 16, , 17, , 18, , 19, , 20, , A ns ., , 1, , 4, , 4, , 3, , 1, , 1, , 1, , 3, , 4, , 1, , 3, , 1, , 1, , 2, , 2, , 3, , 1, , 2, , 2, , 1, , 22, , 23, , 24, , 25, , 26, , 27, , 28, , 29, , 30, , 31, , 32, , 33, , 34, , 35, , 36, , 37, , 38, , 39, , 40, , 2, , 2, , 1, , 1, , 1, , 3, , 2, , 1, , 2, , 2, , 2, , 3, , 3, , 2, , 1, , 3, , 1, , 2, , 4, , 42, , 43, , 44, , 45, , 46, , 47, , 48, , 49, , 50, , 51, , 52, , 53, , 54, , 55, , 56, , 57, , 58, , 59, , 60, , 2, , 2, , 1, , 3, , 2, , 4, , 4, , 4, , 2, , 3, , 1, , 4, , 4, , 3, , 1, , 1, , 3, , 1, , 3, , 62, , 63, , 64, , 65, , 66, , 67, , 68, , 69, , 70, , 71, , 72, , 73, , 74, , 75, , 76, , 77, , 78, , 79, , 80, , 2, , 2, , 1, , 4, , 1, , 1, , 3, , 1, , 2, , 3, , 3, , 2, , 1, , 4, , 2, , 3, , 3, , 2, , 1, , 82, , 83, , 84, , 85, , 86, , 87, , 88, , 89, , 90, , 91, , 92, , 93, , 94, , 95, , 96, , 97, , 98, , 99, , 100, , 4, , 4, , 1, , 3, , 1, , 4, , 3, , 3, , 4, , 3, , 3, , 1, , 2, , 4, , 2, , 1, , 4, , 4, , 4, , Q .No. 21, A ns ., , 3, , Q .No. 41, A ns ., , 4, , Q .No. 61, A ns ., , 4, , Q .No. 81, A ns ., , 1, , Q .No. 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120, A ns ., , 3, , 4, , 4, , 3, , 1, , 3, , 1, , 1, , 2, , 2, , 1, , 2, , 2, , Shashtri Nagar, Sultanpur, 7014344748, , 3, , 2, , 1, , 3, , 4, , 1, , 2

Physics by Shivendra Sir, , Answer, , Q .No., , 1, , 2, , 3, , 4, , 5, , 6, , 7, , 8, , 9, , 10, , 11, , 12, , 13, , 14, , 15, , 16, , 17, , 18, , 19, , 20, , A ns ., , 1, , 4, , 4, , 3, , 1, , 1, , 1, , 3, , 4, , 1, , 3, , 1, , 1, , 2, , 2, , 3, , 1, , 2, , 2, , 1, , 22, , 23, , 24, , 25, , 26, , 27, , 28, , 29, , 30, , 31, , 32, , 33, , 34, , 35, , 36, , 37, , 38, , 39, , 40, , 2, , 2, , 1, , 1, , 1, , 3, , 2, , 1, , 2, , 2, , 2, , 3, , 3, , 2, , 1, , 3, , 1, , 2, , 4, , 42, , 43, , 44, , 45, , 46, , 47, , 48, , 49, , 50, , 51, , 52, , 53, , 54, , 55, , 56, , 57, , 58, , 59, , 60, , 2, , 2, , 1, , 3, , 2, , 4, , 4, , 4, , 2, , 3, , 1, , 4, , 4, , 3, , 1, , 1, , 3, , 1, , 3, , 62, , 63, , 64, , 65, , 66, , 67, , 68, , 69, , 70, , 71, , 72, , 73, , 74, , 75, , 76, , 77, , 78, , 79, , 80, , 2, , 2, , 1, , 4, , 1, , 1, , 3, , 1, , 2, , 3, , 3, , 2, , 1, , 4, , 2, , 3, , 3, , 2, , 1, , 82, , 83, , 84, , 85, , 86, , 87, , 88, , 89, , 90, , 91, , 92, , 93, , 94, , 95, , 96, , 97, , 98, , 99, , 100, , 4, , 4, , 1, , 3, , 1, , 4, , 3, , 3, , 4, , 3, , 3, , 1, , 2, , 4, , 2, , 1, , 4, , 4, , 4, , Q .No. 21, A ns ., , 3, , Q .No. 41, A ns ., , 4, , Q .No. 61, A ns ., , 4, , Q .No. 81, A ns ., , 1, , Q .No. 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120, A ns ., , 3, , 4, , 4, , 3, , 1, , 3, , 1, , 1, , 2, , 2, , 1, , 2, , 2, , Shashtri Nagar, Sultanpur, 7014344748, , 3, , 2, , 1, , 3, , 4, , 1, , 2

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