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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Level 2: 60%+
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The figure shows a small magnetized needle \(P\) placed at a point \(O.\) The arrow shows the direction of its magnetic moment. The other arrows show different positions (and orientations of the magnetic moment) of another identical magnetized needle \(Q.\) Then:

1. In \(P Q_1\) and \(P Q_2\) configuration, the system is not in equilibrium.
2.  In \(P Q_3 \) and \(P Q_6\) configuration, the system is unstable.
3. In \(P Q_5\) and \(P Q_4\) configuration, the system is stable.
4. \(P Q_5\) configuration corresponds to the lowest potential energy among all the configurations shown.
Subtopic:  Analogy between Electrostatics & Magnetostatics |
 52%
Level 3: 35%-60%
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