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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 |

77%

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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Two charges \(q_1\) and \(q_2\) are placed \(30~\text{cm}\) apart, as shown in the figure. A third charge \(q_3\)_{ }is moved along the arc of a circle of radius \(40~\text{cm}\) from \(C\) to \(D.\) The change in the potential energy of the system is \(\dfrac{q_{3}}{4 \pi \varepsilon_{0}} k,\) 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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If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volts to another point where the potential is \(\mathrm{V}\) volts, then the value of \(\mathrm{V}\) is:

1. \(5\) volts

2. \(-15\) volts

3. \(+15\) volts

4. \(+10\) volts

Subtopic: Electric Potential |

84%

From NCERT

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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:

1. | \(\frac{3qQ}{4\pi \varepsilon_0 a}\) | 2. | \(\frac{3qQ}{8\pi \varepsilon_0 a}\) |

3. | \(\frac{qQ}{4\pi \varepsilon_0 a}\) | 4. | \(\text{zero}\) |

Subtopic: Electric Potential |

83%

From NCERT

AIPMT - 2011

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A bullet of mass \(2\) g is having a charge of \(2\) µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of \(10\) m/s?

1. \(50\) kV

2. \(5\) V

3. \(50\) V

4. \(5\) kV

Subtopic: Electric Potential |

76%

From NCERT

AIPMT - 2004

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Ten electrons are equally spaced and fixed around a circle of radius \(R\). Relative to \(V=0\) at infinity, the electrostatic potential \(V\) and the electric field \(E\) at the centre \(C\) are:

1. | \(V \neq 0 \text { and } \vec{E} \neq 0\) |

2. | \(V \neq 0 \text { and } \vec{E}=0\) |

3. | \(V=0 \text { and } \vec{E}=0\) |

4. | \(V=0 \text { and } \vec{E} \neq 0\) |

Subtopic: Electric Potential |

78%

From NCERT

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Four electric charges \(+ q,\) \(+ q,\) \(- q\) and \(- q\) are placed at the corners of a square of side \(2L\) (see figure). The electric potential at point \(A\), mid-way between the two charges \(+ q\) and \(+ q\) is:

1. \(\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 + \frac{1}{\sqrt{5}}\right)\)

2. \(\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 - \frac{1}{\sqrt{5}}\right)\)

3. zero

4. \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q}{L} \left(1 + \sqrt{5}\right)\)

Subtopic: Electric Potential |

73%

From NCERT

AIPMT - 2011

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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is \(10\) V, then the potential of the big drop will be:

1. | \(40\) V | 2. | \(10\) V |

3. | \(30\) V | 4. | \(20\) V |

Subtopic: Electric Potential |

74%

From NCERT

AIPMT - 1999

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The increasing order of the electrostatic potential energies for the given system of charges is given by:

1. | \(\mathrm{a = d < b < c}\) | 2. | \(\mathrm{b = d < c < a}\) |

3. | \(\mathrm{b = c < a < d}\) | 4. | \(\mathrm{c < a < b < d}\) |

Subtopic: Electric Potential |

77%

From NCERT

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