An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times 10^5 ~\text{NC}^{-1}\). It experiences a torque equal to \(4~\text{N-m}\). Calculate the magnitude of charge on the dipole if the dipole length is \(2~\text{cm}\).

1. | \(2~\text{mC}\) | 2. | \(8~\text{mC}\) |

3. | \(6~\text{mC}\) | 4. | \(4~\text{mC}\) |

Subtopic: Electric Dipole |

71%

From NCERT

NEET - 2023

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Two point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.

The magnitude of electric field intensity at a distance \({R}~({R}>>{L})\) varies as:

The magnitude of electric field intensity at a distance \({R}~({R}>>{L})\) varies as:

1. | \(\frac{1}{{R}^{6}}\) | 2. | \(\frac{1}{{R}^{2}}\) |

3. | \(\frac{1}{{R}^{3}}\) | 4. | \(\frac{1}{{R}^{4}}\) |

Subtopic: Electric Dipole |

70%

From NCERT

NEET - 2022

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Polar molecules are the molecules:

1. | that acquires a dipole moment only when the magnetic field is absent. |

2. | has a permanent electric dipole moment. |

3. | has zero dipole moment. |

4. | that acquire a dipole moment only in the presence of an electric field due to displacement of charges. |

Subtopic: Electric Dipole |

64%

From NCERT

NEET - 2021

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A dipole is placed in an electric field as shown. In which direction will it move?

1. | towards the left as its potential energy will decrease. |

2. | towards the right as its potential energy will increase. |

3. | towards the left as its potential energy will increase. |

4. | towards the right as its potential energy will decrease. |

Subtopic: Electric Dipole |

From NCERT

NEET - 2021

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The electric field at a point on the equatorial plane at a distance \(r\) from the centre of a dipole having dipole moment $\stackrel{}{}$\(\overrightarrow{P}\) is given by:

(\(r\gg\) separation of two charges forming the dipole, \(\epsilon_{0} =\) permittivity of free space)

1. \(\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}\)

2. \(\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \epsilon _{0}r^{3}}\)

3. \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{2}}\)

4. \(\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}\)

Subtopic: Electric Dipole |

62%

From NCERT

NEET - 2020

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An electric dipole is placed at an angle of \(30^\circ\) with an electric field intensity \(2\times10^5~ \text{N/C}\). It experiences a torque equal to \(4 ~\text{N-m}\). The charge on the dipole, if the dipole length is \(2~ \text{cm}\), is:

1. | \(8~\text{mC}\) | 2. | \(2~\text{mC}\) |

3. | \(5~\text{mC}\) | 4. | \(7~\mu \text{C}\) |

Subtopic: Electric Dipole |

87%

From NCERT

NEET - 2016

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Three-point charges + q, -2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:

1. | $\sqrt{2}$qa along +y direction |

2. | $\sqrt{2}$qa along the line joining points (x=0, y= 0, z=0) and (x=a, y=a, z=0) |

3. | qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) |

4. | $\sqrt{2}$qa along +x direction |

Subtopic: Electric Dipole |

84%

From NCERT

AIPMT - 2007

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A dipole of moment $\overrightarrow{p}$ is placed in uniform electric field $\overrightarrow{E}$. The torque acting on it is given by:

1. \(\vec{\tau }=\vec{p}.\vec{E}\)

2. \(\vec{\tau }=\vec{p} \times\vec{E}\)

3. \(\vec{\tau }=\vec{p}+\vec{E}\)

4. \(\vec{\tau }=\vec{p}-\vec{E}\)

Subtopic: Electric Dipole |

90%

From NCERT

AIPMT - 2001

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The electric field at the equator of a dipole is \(E.\) If the strength of the dipole and distance are now doubled, then the electric field will be:

1. | \(E/2\) | 2. | \(E/8\) |

3. | \(E/4\) | 4. | \(E\) |

Subtopic: Electric Dipole |

66%

From NCERT

AIPMT - 1998

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A point \(Q\) lies on the perpendicular bisector of an electric dipole of dipole moment \(p.\) If the distance of \(Q\) from the dipole is \(r\) (much larger than the size of the dipole), then the electric field at \(Q\) is proportional to:

1. \(p^{2}\) and \(r^{-3}\)

2. \(p\) and \(r^{-2}\)

3. \(p^{-1}\) and \(r^{-2}\)

4. \(p\) and \(r^{-3}\)

Subtopic: Electric Dipole |

86%

From NCERT

AIPMT - 1998

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