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A short electric dipole has a dipole moment of \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \dfrac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)

1. \(200~\text{V}\)

2. \(400~\text{V}\)

3. zero

4. \(50~\text{V}\)

Subtopic: Energy of Dipole in an External Field |

66%

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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%

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What is the area of the plates of a \(2~\text{F}\) parallel plate capacitor, given that the separation between the plates is \(0.5~\text{cm}\)?

1. \(1100~\text{km}^2\)

2. \(1130~\text{km}^2\)

3. \(1110~\text{km}^2\)

4. \(1105~\text{km}^2\)

Subtopic: Capacitance |

72%

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A parallel plate air capacitor is charged to potential difference \(V\). After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:

1. decreases.

2. increases.

3. becomes zero.

4. does not change.

Subtopic: Capacitance |

66%

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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 \(-10\) 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%

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Some equipotential surfaces are shown in figure. The electric field at points \(A\), \(B\) and \(C\) are respectively:

1. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2~\text{V/cm} \text { (all along +ve X-axis) }\) |

2. | \(1~\text{V/cm}, \frac{1}{2} ~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |

3. | \(\frac{1}{2} ~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along +ve X-axis) }\) |

4. | \(\frac{1}{2}~\text{V/cm}, 1~\text{V/cm}, 2 ~\text{V/cm} \text { (all along -ve X-axis) }\) |

Subtopic: Equipotential Surfaces |

70%

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The work done to move a charge along an equipotential from \(A\) to \(B\):

1. | can not be defined as \(-\int_{A}^{B} { \vec E\cdot \vec{dl}}\) |

2. | must be defined as \(-\int_{A}^{B} {\vec E\cdot \vec{dl}}\) |

3. | is zero |

4. | can have a non-zero value. |

Subtopic: Equipotential Surfaces |

91%

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In a region of constant potential:

a. | the electric field is uniform |

b. | the electric field is zero |

c. | there can be no charge inside the region |

d. | the electric field shall necessarily change if a charge is placed outside the region |

Choose the correct statement(s):

1. (b) and (c)

2. (a) and (c)

3. (b) and (d)

4. (c) and (d)

Subtopic: Relation between Field & Potential |

55%

From NCERT

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A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness \(d_1\) and dielectric constant \(K_1\) and the other has thickness \(d_2\) and dielectric constant \(K_2\), as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness \(d= d_1+d_2\) and effective dielectric constant \(K\). The \(K\) is:

1. | \(\frac{{K}_{1} {d}_{1}+{K}_{2} {d}_{2}}{{d}_{1}+{d}_{1}}\) | 2. | \(\frac{{K}_{1} {d}_{1}+{K}_{2} {d}_{2}}{{K}_{1}+{K}_{2}}\) |

3. | \(\frac{{K}_{1} {K}_{2}\left({d}_{1}+{d}_{2}\right)}{{K}_{1} {d}_{2}+{K}_{2} {d}_{1}}\) | 4. | \(\frac{2 {K}_{1} {K}_{2}}{{K}_{1}+{K}_{2}}\) |

Subtopic: Dielectrics in Capacitors |

67%

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Consider a uniform electric field in the \(z\text-\)direction. The potential is constant:

a. | in all space |

b. | for any \(x\) for a given \(z\) |

c. | for any \(y\) for a given \(z\) |

d. | on the \(x\text-y\) plane for a given \(z\) |

1. | (a), (b), (c) | 2. | (a), (c), (d) |

3. | (b), (c), (d) | 4. | (c), (d) |

Subtopic: Equipotential Surfaces |

78%

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