The force between two small charged spheres having charges of \(2\times 10^{-7}~\text{C}\) and \(3\times 10^{-7}~\text{C}\) placed \(30\) cm apart in the air is:
1. \(6 \times 10^{-3}~\text{N}\)
2. \(5 \times 10^{-3}~\text{N}\)
3. \(4 \times 10^{-4}~\text{N}\)
4. \(5 \times 10^{-4}~\text{N}\)
Subtopic:  Coulomb's Law |
 85%
Level 1: 80%+
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The electrostatic force on a small sphere of charge 0.4 µC due to another small sphere of charge –0.8 µC in the air is 0.2 N. The distance between the two spheres is:

1. 14 cm
2. 12 cm
3. 16 cm
4. 10 cm

Subtopic:  Coulomb's Law |
 77%
Level 2: 60%+
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Dimensional formula of ke2Gmemp is:
1. [M1L1T1]
2. [M0L1T1]
3. [M0L0T0]
4. [M-1L0T2]

Subtopic:  Coulomb's Law |
 74%
Level 2: 60%+
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Four point charges \(q_A = 2μ\text{C},\) \(q_{B} = -5μ\text{C},\) \(q_C = 2μ\text{C}\) and \(q_D = -5μ\text{C}\) are located at corners of a square \(ABCD\) of side \(10\) cm. The force on a charge of \(1μ\text{C}\) placed at the centre of the square is:
1. \(2\) N
2. \(1\) N
3. \(5\) N
4. \(0\) N
Subtopic:  Coulomb's Law |
 85%
Level 1: 80%+
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Two point charges \(q_A = 3~\mu\text{C}\) and \(q_B = -3~\mu\text{C}\) are located \(20\) cm apart in a vacuum. The electric field at the midpoint \(O\) of the line \(AB\) joining the two charges is:
1. \(4.5\times10^{6}~\text{N/C along}~OA\)
2. \(5.4\times10^{6}~\text{N/C along}~OA\)
3. \(4.5\times10^{6}~\text{N/C along}~OB\)
4. \(5.4\times10^{6}~\text{N/C along}~OB\)

Subtopic:  Electric Field |
 61%
Level 2: 60%+
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A system has two charges, \(q_\mathrm{A} = 2.5 \times 10^{-7}~\text{C}\) and \(q_\mathrm{B} = -2.5 \times 10^{-7}~\text{C}\), is located at points \(\mathrm{A}\)\((0,0,-15~\text{cm})\) and \(\mathrm{B}\): \((0,0,+15~\text{cm})\) respectively. The electric dipole moment of the system is:

1. \(7.5\times 10^{-8}~\text{C-m}\) (along negative z-axis)
2. \(8.5\times 10^{-8}~\text{C-m}\) (along positive z-axis)
3. \(5.5\times 10^{-8}~\text{C-m}\) (along positive z-axis)
4. \(3.5\times 10^{-8}~\text{C-m}\) (along negative z-axis)

Subtopic:  Electric Dipole |
 73%
Level 2: 60%+
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An electric dipole with dipole moment \(4\times 10^{-9}~\text{cm}\) is aligned at \(30^{\circ}\) with the direction of a uniform electric field of magnitude\(5\times 10^{4}~\text{NC}^{-1}.\) The magnitude of the torque acting on the dipole is:
1. \(2\times 10^{-5}~\text{N-m}\) 2. \(10^{-4}~\text{N-m}\)
3. \(10^{-5}~\text{N-m}\) 4. \(2\times 10^{-4}~\text{N-m}\)
Subtopic:  Electric Dipole |
 80%
Level 1: 80%+
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Which of the following statements about electric field lines (due to static charges) is incorrect?

1. electric field lines never cross each other at any point.
2. electric field lines do not form any closed loop.
3. electric field lines can not be taken as continuous curves.
4. electric field lines start from a positive charge and end on a negative charge.

Subtopic:  Electric Field |
 80%
Level 1: 80%+
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A polythene piece rubbed with wool is found to have a negative charge of \(3 \times10^{-7}~\text{C}.\) Transfer of mass from wool to polythene is:
1. \(0.7\times10^{-18}~\text{kg}\)
2. \(1.7\times10^{-17}~\text{kg}\)
3. \(0.7\times10^{-17}~\text{kg}\)
4. \(1.7\times10^{-18}~\text{kg}\)

Subtopic:  Electric Charge |
 62%
Level 2: 60%+
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Two insulated charged copper spheres \(A\) and \(B\) have their centers separated by a distance of \(50 ~\text{cm}.\) What is the mutual force of electrostatic repulsion if the charge on each is  \(6 . 5 × 10 ^{- 7}~\text C ?\) 
(the radii of \(A\) and \(B\) are negligible compared to the distance of separation.)
1. \(1.52 × 10^{−2}~\text N\)
2. \(3.7 × 10^{−2}~\text N\)
3. \(2.01 × 10^{−2}~\text N\)
4. \(2.23 × 10^{−1}~\text N\)

Subtopic:  Coulomb's Law |
 76%
Level 2: 60%+
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