What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?

1. | \(9 \times 10^{-3}~\text{J}\) | 2. | \(9 \times 10^{-3}~\text{eV}\) |

3. | \(2~\text{eV/m}\) | 4. | zero |

Subtopic: Electric Potential Energy |

76%

From NCERT

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Three charges *\(Q\)*, \(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side *\(l\)* as shown in the figure. If the net electrostatic energy of the system is zero, then *\(Q\)* is equal to:

1. | \(-\frac{q}{2} \) | 2. | \(-q\) |

3. | \(+q\) | 4. | \(\text{zero}\) |

Subtopic: Electric Potential Energy |

72%

From NCERT

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A charge \(q_1=5 \times 10^{-8} \mathrm{~C}\) is kept at 3 cm from a charge \(q_2=-2 \times 10^{-8} \mathrm{~C}\). The potential energy of the system relative to the potential energy at infinite separation is:

1. 3 x ${10}^{-4}$ J

2. –3 x ${10}^{-4}$ J

3. 9 x ${10}^{-6}$ J

4. –9 x ${10}^{-6}$ J

Subtopic: Electric Potential Energy |

73%

From NCERT

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Two charges *q*_{1} and *q*_{2} are placed 30 cm apart, as shown in the figure. A third charge *q*_{3 }is moved along the arc of a circle of radius 40 cm from *C* to *D*. The change in the potential energy of the system is $\frac{{q}_{3}}{4\pi {\epsilon}_{0}}k$, where *k* is:

** **

1. | 8q_{2} |
2. | 8q_{1} |

3 | 6q_{2} |
4. | 6q_{1} |

Subtopic: Electric Potential Energy |

66%

From NCERT

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In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å. The potential energy of the system in eV is:

(Taking the zero of the potential energy at an infinite separation of the electron from the proton.)

1. -23.1 eV

2. 27.0 eV

3. -27.2 eV

4. 23.7 eV

Subtopic: Electric Potential Energy |

67%

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An elementary particle of mass *m* and charge +*e* is projected with velocity *v* at a much more massive particle of charge *Ze*, where *Z* > 0. What is the closest possible approach of the incident particle?

1. | \(\frac{Z e^2}{2 \pi \varepsilon_0 m v^2} \) | 2. | \(\frac{Z_e}{4 \pi \varepsilon_0 m v^2} \) |

3. | \(\frac{Z e^2}{8 \pi \varepsilon_0 m v^2} \) | 4. | \(\frac{Z_e}{8 \pi \varepsilon_0 m v^2}\) |

Subtopic: Electric Potential Energy |

65%

From NCERT

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When a particle with charge \(+q\) is thrown with an initial velocity \(v\) towards another stationary change \(+Q,\) it is repelled back after reaching the nearest distance \(r\) from \(+Q.\) The closest distance that it can reach if it is thrown with an initial velocity \(2v,\) is:

1. | \(\frac{r}{4}\) | 2. | \(\frac{r}{2}\) |

3. | \(\frac{r}{16}\) | 4. | \(\frac{r}{8}\) |

Subtopic: Electric Potential Energy |

67%

From NCERT

NEET - 2022

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Four equal charges *Q* are placed at the four corners of a square of each side ‘*a*’. Work done in removing a charge – *Q *from its centre to infinity is:

1. 0

2. $\frac{\sqrt{2}{Q}^{2}}{4\pi {\epsilon}_{0}a}$

3. $\frac{\sqrt{2}{Q}^{2}}{\pi {\epsilon}_{0}a}$

4. $\frac{{Q}^{2}}{2\pi {\epsilon}_{0}a}$

Subtopic: Electric Potential Energy |

59%

From NCERT

AIIMS - 1995

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A charge of 10 *e.s.u.* is placed at a distance of 2 *cm* from a charge of 40 *e.s.u.* and 4 *cm* from another charge of 20 *e.s.u.* The potential energy of the charge 10 *e.s.u.* is: (in *ergs*)

1. | 87.5 | 2. | 112.5 |

3. | 150 | 4. | 250 |

Subtopic: Electric Potential Energy |

58%

From NCERT

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Figure shows a ball having a charge \(q\) fixed at a point $\mathrm{A}$. Two identical balls having charges \(+q\) and \(–q\) and mass \(‘m’\) each are attached to the ends of a light rod of length $\mathrm{}$\(2 a\)

1. | \(\frac{\sqrt{2} \mathrm{q}}{3 \pi \epsilon_0 \mathrm{ma}^3} \) | 2. | \(\frac{\mathrm{q}}{\sqrt{3 \pi \epsilon_0 \mathrm{ma}^3 }}\) |

3. | \(\frac{\mathrm{q}}{\sqrt{6 \pi \epsilon_0 \mathrm{ma}^3 }} \) | 4. | \(\frac{\sqrt{2} q}{4 \pi \epsilon_0 m a^3} \) |

Subtopic: Electric Potential Energy |

From NCERT

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