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 \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:

1. \(5\) volt

2. \(-15\) volt

3. \(+15\) volt

4. \(+10\) volt

Subtopic: Electric Potential |

84%

From NCERT

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In a circuit, 5 C of charge is passed through a battery in a given time. The plates of the battery are maintained at a potential difference of 12 V. The work done by the battery is:

1. | 120 J | 2. | 60 J |

3. | 30 J | 4. | 15 J |

Subtopic: Electric Potential |

85%

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 |

82%

From NCERT

AIPMT - 2011

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How much kinetic energy will be gained by an \(\alpha\text-\text{particle}\) in going from a point at \(70~\text{V}\) to another point at \(50~\text{V}\)?

1. | \(40~\text{eV}\) | 2. | \(40~\text{keV}\) |

3. | \(40~\text{MeV}\) | 4. | 0 |

$$

Subtopic: Electric Potential |

79%

From NCERT

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Four point charges \(-Q, -q,2q~\text{and}~2Q\)$$ are placed, one at each corner of the square. The relation between \(Q\) and \(q\) for which the potential at the center of the square is zero, is:

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

3. | \(Q=q \) | 4. | \(\mathrm{Q}=\frac{1}{q}\) |

Subtopic: Electric Potential |

77%

From NCERT

NEET - 2012

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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 |

77%

From NCERT

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

1. | a = d < b < c | 2. | b = d < c < a |

3. | b = c < a < d | 4. | c < a < b < d |

Subtopic: Electric Potential |

77%

From NCERT

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

1. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\frac{1}{\sqrt{5}}\right)$

2. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1-\frac{1}{\sqrt{5}}\right)$

3. zero

4. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\sqrt{5}\right)$

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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