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Q. No.A wire carrying a current \(I\) along the positive x-axis has length \(L\). It is kept in a magnetic field \(\vec{B}=(2 \hat{i}+3 \hat{j}-4 \hat{k})\) 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: Current Carrying Loop: Force & Torque |
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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. | \(\frac{\mu_0 i}{4 R}\left[1-\frac{2}{\pi}\right]\) pointed into the page |
| 2. | \(\frac{\mu_0 i}{4 R}\) pointed into the page |
| 3. | \(\frac{\mu_0 i}{4 R}\) pointed away from the page |
| 4. | \(\frac{\mu_0 i}{4 R}\left[1-\frac{2}{\pi}\right]\) pointed away from the page |
Subtopic: Magnetic Field due to various cases |
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 (\(g=9.8~\mathrm{ms^{-2}}\)):
1. \(2.45\) A
2. \(2.25\) A
3. \(2.75\) A
4. \(1.75\) A
1. \(2.45\) A
2. \(2.25\) A
3. \(2.75\) A
4. \(1.75\) A
Subtopic: Lorentz Force |
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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 |
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NEET - 2023
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A long solenoid of radius \(1\) mm has \(100\) turns per mm. If \(1~\mathrm{A}\) current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
| 1. | \(6.28 \times 10^{-4} \mathrm{~T} \) | 2. | \(6.28 \times 10^{-2} \mathrm{~T} \) |
| 3. | \(12.56 \times 10^{-2} \mathrm{~T} \) | 4. | \(12.56 \times 10^{-4} \mathrm{~T}\) |
Subtopic: Magnetic Field due to various cases |
60%
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NEET - 2022
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Given below are two statements:
| 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. |
| 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, \(q.\) |
In light of the above statements choose the most appropriate answer from the options given below:
| 1. | I is incorrect and II is correct. |
| 2. | both I and II are correct. |
| 3. | both I and II are incorrect. |
| 4. | I is correct and II is incorrect. |
Subtopic: Biot-Savart Law |
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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 in the 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 |
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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 |
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NEET - 2022
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A strong magnetic field is applied along the direction of 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 |
62%
From NCERT
NEET - 2022
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A closely packed coil having \(1000\) turns has an average radius of \(62.8 ~\mathrm{cm}\). If current carried by the wire of the coil is \(1~ \text{A},\) the value of magnetic field produced at the centre of the coil will be:
(permeability of free space = \(4 \pi \times 10^{-7}~ \mathrm{H/m}\) ) nearly:
(permeability of free space = \(4 \pi \times 10^{-7}~ \mathrm{H/m}\) ) nearly:
| 1. | \(10^{-1}~\text{T}\) | 2. | \(10^{-2}~\text T\) |
| 3. | \(10^{2}~\text T\) | 4. | \(10^{-3}~\text{T}\) |
Subtopic: Magnetic Field due to various cases |
59%
From NCERT
NEET - 2022
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