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. \(44~\text {mT}\)
Subtopic:  Magnetic Field due to various cases |
 68%
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 \(\vec{B}=(2 \hat{i}+3 \hat{j}-4 \hat{k})~\text{T}\). The magnitude of the magnetic force acting on the wire is:
1. \(\sqrt{3}IL\)
2. \(3IL\)
3. \(\sqrt{5}IL\)
4. \(5IL\)
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. \(\frac{\mu_0 i}{4 R}\left[1-\frac{2}{\pi}\right]\) 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 |
 52%
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
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 false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.
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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