Two small bar magnets are placed in the air at a distance r apart. The magnetic force between them is proportional to:

1. r2

2. r-2

3. r-3

4. r-4

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A magnet of magnetic moment 20 C.G.S. units are freely suspended in a uniform magnetic field of intensity 0.3 C.G.S. units. The amount of work done in deflecting it by an angle of 30o in C.G.S. units is

1. 6

2. 33

3. 3(2-3)

4. 3

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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The magnetic field due to a short magnet at a point on its axis at a distance X cm from the middle point of the magnet is 200 Gauss. The magnetic field at a point on the neutral axis at a distance of X cm from the middle of the magnet is:


1. 100 Gauss

2. 400 Gauss

3. 50 Gauss

4. 200 Gauss

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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If a bar magnet of magnetic moment M is freely suspended in a uniform magnetic field of strength B, the work done in rotating the magnet through an angle is

1. MB(1-sinθ)

2. MBsinθ

3. MBcosθ

4. MB(1-cosθ)

Subtopic:  Analogy between Electrostatics & Magnetostatics | Bar Magnet |
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Force between two identical bar magnets whose centres are r metre apart  is 4.8 N, when their axes are in the same line. If separation is increased to 2r, the force between them is reduced to

1. 2.4N                         2. 1.2N

3. 0.6N                         4. 0.3N

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet of magnetic moment 104J/T is free to rotate in a horizontal plane. The work done in rotating the magnet slowly from a direction parallel to a horizontal magnetic field of 4×10–5 T to a direction 60° from the field will be

1. 0.2 J                          2. 2.0 J

3. 4.18 J                        4. 2 × 102 J

Subtopic:  Analogy between Electrostatics & Magnetostatics | Bar Magnet |
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A magnet of magnetic moment 50i^A-m2 is placed along the x-axis in a magnetic field B=(0.5i^+3.0j^)T. The torque acting on the magnet is

1. 175 k^ N-m

2. 150 k^ N-m

3. 75 k^ N-m

4. 2537 k^ N-m

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Magnets \(A\) and \(B\) are geometrically similar but the magnetic moment of \(A\) is twice that of \(B\). If \(T_1\) and \(T_2\) be the time periods of the oscillation when their like poles and unlike poles are kept together respectively, then \(\frac{T_1}{T_2}\) will be:
1. \(\frac{1}{3}\)
2. \(\frac{1}{2}\)
3. \(\frac{1}{\sqrt{3}}\)
4. \(\sqrt{3}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A thin rectangular magnet suspended freely has a period of oscillation equal to \(T\). Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is \(T'\), then ratio \(\frac{T'}{T}\) is:
1. \(\frac{1}{4}\)
2. \(\frac{1}{2\sqrt{2}}\)
3. \(\frac{1}{2}\)
4. \(2\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A vibration magnetometer consists of two identical bar magnets placed one over the other such that they are perpendicular and bisect each other. The time period of oscillation in a horizontal magnetic field is \(2^{\frac{5}{4}}\) seconds. One of the magnets is removed and if the other magnet oscillates in the same field, then the time period in seconds is:
1. \(2^\frac{1}{4}\)
2. \(2^\frac{1}{2}\)
3. \(2\)
4. \(2^\frac{3}{4}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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