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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. \(5 \times 10^{-4}~\text{N}\)

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 |

84%

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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 |

76%

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Dimensional formula of $\frac{k{e}^{2}}{G{m}_{e}{m}_{p}}$ is:

1. [M^{1}L^{1}T^{1}]

2. [M^{0}L^{1}T^{1}]

3. [M^{0}L^{0}T^{0}]

4. [M^{-1}L^{0}T^{2}]

Subtopic: Coulomb's Law |

73%

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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

1. \(2\) N

2. \(1\) N

3. \(5\) N

4. \(0\) N

Subtopic: Coulomb's Law |

82%

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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. \(5.4\times10^{6}~\text{N/C along}~OB\)

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 |

59%

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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 |

72%

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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%

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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 |

78%

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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 |

61%

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Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is $6.5\times {10}^{-7}C$? The radii of A and B are negligible compared to the distance of separation.

1. 1.52 × 10^{−2} N

2. 3.7 × 10^{−2} N

3. 2.01 × 10^{−2} N

4. 2.23 × 10^{−1} N

Subtopic: Coulomb's Law |

74%

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