A current carrying circular loop of wire is placed in a magnetic field \(B\), which makes an angle \(\theta\) with the normal to the loop. The radius of the loop is \(r\), and the loop carries a current \(i\). The magnetic interaction energy of the current carrying loop is \(E_B\) and the torque on the loop has the magnitude \(\tau_B\).
Which of the following, is independent of \(\theta?\)
1. \(E_B\cdot\tau_B\) 2. \(\dfrac{E_B}{\tau_B}\)
3. \(E_B^2+\tau_B^2\) 4. \(E_B^2-\tau_B^2\)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet with a magnetic moment of \(5~\text{Am}^2\) is initially in a stable equilibrium within a uniform external magnetic field of \(0.4~\text T.\) The work required to slowly rotate the bar magnet into a position of unstable equilibrium is:
1. \(1~\text J\) 
2. \(2~\text J\) 
3. \(3~\text J\) 
4. \(4~\text J\) 
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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The magnetic potential energy when a magnetic bar with a magnetic moment \(\vec{M}\) is placed perpendicular to the magnetic field \(\vec{B}\) is:
1. \(\dfrac{-mB}{2}\) 2. zero
3. \(-mB\) 4. \(mB\)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Level 2: 60%+
NEET - 2024
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Magnetic induction at an axial point of a short magnet at a distance \(r\) from the centre of dipole is \(\vec B\). Its value at the equatorial point of the short magnet at the same distance from the centre of dipole is:

1. \(-\vec B\) 2. \(\dfrac{\vec B}{2}\)
3. \(\vec B\) 4. \(\dfrac{-\vec B}{2}\)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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The ratio of the magnitudes of the equatorial and axial fields due to a bar magnet of length \(5.0~\text{cm}\) at a distance of \(50~\text{cm}\) from its mid-point is:
(given, the magnetic moment of the bar magnet is \(0.40~\text{Am}^{2}\))
1. \(\dfrac{1}{2}\)

2. \(2\)

3. \(1\)

4. \(\dfrac{3}{2}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A short bar magnet has a magnetic moment of \(0.48~\text{JT}^{-1}.\) The direction and magnitude of the magnetic field produced by the magnet at a distance of \(10~\text{cm}\) from the centre of the magnet on the equatorial lines (normal bisector) of the magnet are:
1. \(0.38~\text{G}\) along the \(\text{N-S}\) direction.
2. \(0.48~\text{G}\) along the \(\text{N-S}\) direction.
3. \(0.38~\text{G}\) along the \(\text{S-N}\) direction.
4. \(0.48~\text{G}\) along the \(\text{S-N}\) direction.
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Given below are two statements:
Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero.
Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Level 2: 60%+
NEET - 2022
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The net magnetic flux through any closed surface is:
1. negative 2. zero
3. positive 4. infinity
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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NEET - 2023
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Essential difference between electrostatic shielding by a conducting shell and magnetostatic shielding is due to
(a) electrostatic field lines can end on charges and conductors have free charges.
(b) lines of \(B\) can also end but conductors cannot end them.
(c) lines of \(B\) cannot end on any material and perfect shielding is not possible.
(d) shells of high permeability materials can be used to divert lines of \(B\) from the interior region.
 
Choose the correct option:
1. (a), (c)
2. (a), (c), (d)
3. (b), (d)
4. (c), (d)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Level 3: 35%-60%
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