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Given below are two statements: one is labelled as **Assertion (A)** and the other is labelled as **Reason (R)**.

In the light of the above statements, choose the correct answer from the options given below:

Assertion (A): |
The potential \((V)\) at any axial point, at \(2~\text m\) distance (\(r\)) from the centre of the dipole of dipole moment vector \(\vec P\) of magnitude, \(4\times10^{-6}~\text{C m},\) is \(\pm9\times10^3~\text{V}.\) (Take \({\dfrac{1}{4\pi\varepsilon_0}}=9\times10^9\) SI units) |

Reason (R): |
\(V=\pm{\dfrac{2P}{4\pi\varepsilon_0r^2}},\) where \(r\) is the distance of any axial point situated at \(2~\text m\) from the centre of the dipole. |

1. | Both (A) and (R) are True and (R) is not the correct explanation of (A). |

2. | (A) is True but (R) is False. |

3. | (A) is False but (R) is True. |

4. | Both (A) and (R) are True and (R) is the correct explanation of (A). |

Subtopic: Â Electric Potential |

Â 52%

From NCERT

NEET - 2024

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In the following circuit, the equivalent capacitance between terminal \(A\) and terminal \(B\) is:

1. \(1~\mu\text F\)

2. \(0.5~\mu\text F\)

3. \(4~\mu\text F\)

4. \(2~\mu\text F\)

1. \(1~\mu\text F\)

2. \(0.5~\mu\text F\)

3. \(4~\mu\text F\)

4. \(2~\mu\text F\)

Subtopic: Â Combination of Capacitors |

Â 66%

From NCERT

NEET - 2024

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A thin spherical shell is charged by some source. The potential difference between the two points \(C\) and \(P\) (in V) shown in the figure is:

( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)

1. \(1 \times 10^5\)

2. \(0.5 \times 10^5\)

3. \(\text{zero}\)

4. \(3 \times 10^5\)

( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)

1. \(1 \times 10^5\)

2. \(0.5 \times 10^5\)

3. \(\text{zero}\)

4. \(3 \times 10^5\)

Subtopic: Â Electric Potential |

Â 65%

From NCERT

NEET - 2024

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If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:

Choose the most appropriate answer from the options given below:

1. \(\mathrm {A,C}\) and \(\mathrm E\) only

2. \(\mathrm {B,D }\) and \(\mathrm E\) only

3. \(\mathrm{A,B}\) and \(\mathrm C\) only

4. \(\mathrm{A,B}\) and \(\mathrm E\) only

\(\mathrm A.\) | the charge stored in it, increases. |

\(\mathrm B.\) | the energy stored in it, decreases. |

\(\mathrm C.\) | its capacitance increases. |

\(\mathrm D.\) | the ratio of charge to its potential remains the same. |

\(\mathrm E.\) | the product of charge and voltage increases. |

Choose the most appropriate answer from the options given below:

1. \(\mathrm {A,C}\) and \(\mathrm E\) only

2. \(\mathrm {B,D }\) and \(\mathrm E\) only

3. \(\mathrm{A,B}\) and \(\mathrm C\) only

4. \(\mathrm{A,B}\) and \(\mathrm E\) only

Subtopic: Â Energy stored in Capacitor |

Â 56%

From NCERT

NEET - 2024

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A dielectric slab of dielectric constant \(3\) having the same area of cross-section as that of parallel plate capacitor but of thickness \({\dfrac{3}{4}}^{\text{th}}\) of the separation of the plates is inserted into the capacitor. The ratio of potential difference across the plates without dielectric to that with dielectric is:

1. \(1:2\)

2. \(2:3\)

3. \(3:2\)

4. \(2:1\)

1. \(1:2\)

2. \(2:3\)

3. \(3:2\)

4. \(2:1\)

Subtopic: Â Dielectrics in Capacitors |

Â 53%

From NCERT

NEET - 2024

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A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery, and the electrostatic energy stored in the capacitor in \(\text{nJ}\) is:

1. \(15\)

2. \(7.5\)

3. \(0.3\)

4. \(150\)

1. \(15\)

2. \(7.5\)

3. \(0.3\)

4. \(150\)

Subtopic: Â Energy stored in Capacitor |

Â 68%

From NCERT

NEET - 2024

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The capacitance of a capacitor with charge \(q\) and a potential difference \(V\) depends on:

1. | both \(q\) and \(V\) |

2. | the geometry of the capacitor |

3. | \(q\) only |

4. | \(V\) only |

Subtopic: Â Capacitance |

Â 73%

From NCERT

NEET - 2024

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The value of the electric potential at a distance of \(9~\text{cm}\) from the point charge \(4\times10^{-7}~\text{C}\) is:

\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)

\(\left[\mathrm{Given}\dfrac{1}{4\pi\varepsilon_{0}}=9\times10^{9}~\text{N m}^{2}~\text{C}^{-2}\right]\)

1. | \(4\times10^2~\text V\) | 2. | \(44.4~\text V\) |

3. | \(4.4\times10^5~\text V\) | 4. | \(4\times10^4~\text V\) |

Subtopic: Â Electric Potential |

Â 65%

From NCERT

NEET - 2024

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The equivalent capacitance of the system shown in the following circuit is:

1. | \(9~{\mu \text{F}}\) | 2. | \(2~{\mu \text{F}}\) |

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

Subtopic: Â Combination of Capacitors |

Â 79%

From NCERT

NEET - 2023

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An electric dipole is placed as shown in the figure.

The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:

(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))

The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:

(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))

1. | \(\left(\dfrac{8}{3}\right)qk\) | 2. | \(\left(\dfrac{3}{8}\right)qk\) |

3. | \(\left(\dfrac{5}{8}\right)qk\) | 4. | \(\left(\dfrac{8}{5}\right)qk\) |

Subtopic: Â Energy of Dipole in an External Field |

Â 61%

From NCERT

NEET - 2023

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