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A tightly wound \(100\) turns coil of radius \(10~\text{cm}\) carries a current of \(7~\text A\). The magnitude of the magnetic field at the centre of the coil is: (Take permeability of free space as \(4 \pi \times 10^{-7}\)SI units):

1. \(4.4~\text T\)

2. \(4.4~\text {mT}\)

3. \(44~\text T\)

4. \(44~\text {mT}\)

1. \(4.4~\text T\)

2. \(4.4~\text {mT}\)

3. \(44~\text T\)

4. \(44~\text {mT}\)

Subtopic: Magnetic Field due to various cases |

66%

From NCERT

NEET - 2024

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A wire carrying a current \(I\) along the positive \(x\)-axis has length \(L\). It is kept in a magnetic field \(\overrightarrow{B}=(2 \hat{i}+3 \hat{j}-4 \hat{k})~\text{T}\). The magnitude of the magnetic force acting on the wire is:

1. \(\sqrt{3}IL\)

2. \(3IL\)

3. \(\sqrt{5}IL\)

4. \(5IL\)

1. \(\sqrt{3}IL\)

2. \(3IL\)

3. \(\sqrt{5}IL\)

4. \(5IL\)

Subtopic: Lorentz Force |

59%

From NCERT

NEET - 2023

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A very long conducting wire is bent in a semi-circular shape from \(A\) to \(B\) as shown in the figure. The magnetic field at point \(P\) for steady current configuration is given by:

1. | \(\dfrac{\mu_0 i}{4 R}\left[1-\dfrac{2}{\pi}\right]\) pointed into the page |

2. | \(\dfrac{\mu_0 i}{4 R}\) pointed into the page |

3. | \(\dfrac{\mu_0 i}{4 R}\) pointed away from the page |

4. | \(\dfrac{\mu_0 i}{4 R}\left[1-\dfrac{2}{\pi}\right]\) pointed away from the page |

Subtopic: Magnetic Field due to various cases |

53%

From NCERT

NEET - 2023

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A long straight wire of length \(2\) m and mass \(250\) g is suspended horizontally in a uniform horizontal magnetic field of \(0.7\) T. The amount of current flowing through the wire will be:

(\(g=9.8~\text{ms}^{-2}\))

1. \(2.45\) A

2. \(2.25\) A

3. \(2.75\) A

4. \(1.75\) A

(\(g=9.8~\text{ms}^{-2}\))

1. \(2.45\) A

2. \(2.25\) A

3. \(2.75\) A

4. \(1.75\) A

Subtopic: Lorentz Force |

75%

From NCERT

NEET - 2023

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A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron:

1. | will turn towards right of direction of motion |

2. | will turn towards left of direction of motion |

3. | speed will decrease |

4. | speed will increase |

Subtopic: Lorentz Force |

61%

From NCERT

NEET - 2023

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A long solenoid of radius \(1~\text{mm}\) has \(100\) turns per mm. If \(1~\text{A}\) current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:

1. | \(6.28 \times 10^{-4} ~\text{T} \) | 2. | \(6.28 \times 10^{-2}~\text{T}\) |

3. | \(12.56 \times 10^{-2}~\text{T}\) | 4. | \(12.56 \times 10^{-4} ~\text{T}\) |

Subtopic: Magnetic Field due to various cases |

63%

From NCERT

NEET - 2022

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Given below are two statements:

Statement I: |
Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only. |

Statement II: |
Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\) |

1. | Statement I is incorrect but Statement II is correct. |

2. | Both Statement I and Statement II are correct. |

3. | Both Statement I and Statement II are incorrect. |

4. | Statement I is correct but Statement II is incorrect. |

Subtopic: Biot-Savart Law |

52%

From NCERT

NEET - 2022

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From Ampere's circuital law, for a long straight wire of circular cross-section carrying a steady current, the variation of the magnetic field inside and outside the region of the wire is:

1. | a linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region. |

2. | uniform and remains constant for both regions. |

3. | a linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region. |

4. | a linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region. |

Subtopic: Ampere Circuital Law |

62%

From NCERT

NEET - 2022

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The ratio of the radii of two circular coils is \(1:2\). The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:

1. \(4:1\)

2. \(2:1\)

3. \(1:2\)

4. \(1:4\)

Subtopic: Magnetic Moment |

61%

From NCERT

NEET - 2022

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A strong magnetic field is applied along the direction of the velocity of an electron. The electron would move along:

1. | a parabolic path |

2. | the original path |

3. | a helical path |

4. | a circular path |

Subtopic: Lorentz Force |

65%

From NCERT

NEET - 2022

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