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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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Two equal charges *q* of opposite sign separated by a distance 2*a* constitute an electric dipole of dipole moment *p*. If *P* is a point at a distance *r* from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle θ with the axis of the dipole, then the potential at *P* is given by: (*r* >> 2*a*) (Where *p* = 2*qa*)

1. | \(V={pcos \theta \over 4 \pi \varepsilon_0r^2}\) | 2. | \(V={pcos \theta \over 4 \pi \varepsilon_0r}\) |

3. | \(V={psin \theta \over 4 \pi \varepsilon_0r}\) | 4. | \(V={pcos \theta \over 2 \pi \varepsilon_0r^2}\) |

Subtopic: Electric Potential |

72%

From NCERT

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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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A parallel plate condenser has a capacitance \(50~\mu\text{F}\) in air and \(110~\mu\text{F}\) when immersed in an oil. The dielectric constant *\(k\)* of the oil is:** **

1. \(0.45\)

2. \(0.55\)

3. \(1.10\)

4. \(2.20\)

Subtopic: Dielectrics in Capacitors |

79%

From NCERT

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Two thin dielectric slabs of dielectric constants K_{1}&K_{2} (${K}_{1}<{K}_{2}$) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by:

1. | 2. | ||

3. | 4. |

Subtopic: Dielectrics in Capacitors |

77%

From NCERT

NEET - 2014

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A conducting sphere of radius R is given a charge Q. The electric potential and field at the center of the sphere respectively are:

1. | Zero and \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2\) |

2. | \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}\) and zero |

3. | \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{O}} \mathrm{R}\) and \(\mathrm{Q} / 4 \pi \varepsilon_{\mathrm{o}} \mathrm{R}^2\) |

4. | Both are zero |

Subtopic: Electrostatic Shielding |

86%

From NCERT

NEET - 2014

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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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Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be:

1. $\frac{C}{3},\frac{V}{3}$

2. $3C,\frac{V}{3}$

3. $\frac{C}{3},3V$

4. $3C,3V$

Subtopic: Combination of Capacitors |

80%

From NCERT

NEET - 2009

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Five identical plates each of area A are joined as shown in the figure. The distance between the plates is *d*. The plates are connected to a potential difference of *V volts*. The charge on plates 1 and 4 will be:

1. $\frac{{\epsilon}_{0}AV}{d},\frac{2{\epsilon}_{0}AV}{d}$

2. $\frac{{\epsilon}_{0}AV}{d},\frac{2{\epsilon}_{0}AV}{d}$

3. $$ $\frac{{\epsilon}_{0}AV}{d},\frac{-2{\epsilon}_{0}AV}{d}$

4. $\frac{-{\epsilon}_{0}AV}{d},\frac{-2{\epsilon}_{0}AV}{d}$

Subtopic: Combination of Capacitors |

64%

From NCERT

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A network of four capacitors of capacity equal to ${C}_{1}=C,$ ${C}_{2}=2C,$ ${C}_{3}=3C$ and *C*_{4} = 4*C* are connected in a battery as shown in the figure. The ratio of the charges on *C*_{2} and *C*_{4} is:

1. $\frac{22}{3}$

2. $\frac{3}{22}$

3. $\frac{7}{4}$

4. $\frac{4}{7}$

Subtopic: Combination of Capacitors |

75%

From NCERT

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