Which of the following statement is incorrect?

(1) If a bar magnet is cut into two pieces transverse to its length and along its length, in either case, one gets two magnets, each with a north and south pole.

(2) A magnetized needle in a uniform magnetic field experiences a torque but no net force. An iron nail near a bar magnet, however, experiences a force of attraction in addition to torque.

(3) Every magnetic configuration must have a north pole and a south pole.

(4) In a bar magnet, the intensity of the magnetic field is the strongest at the two ends (poles) and weakest at the central region.

Subtopic:  Bar Magnet |
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In the figure, the magnetic needle has a magnetic moment of 6.7 × 10–2 Am2 and a moment of inertia I = 7.5 × 10–6 kg m2. It performs 10 complete oscillations in 6.70 s in a magnetic field. What is the magnitude of the magnetic field?

1. 0.02 T

2. 0.01 T

3. 003 T

4. 0.001 T

Subtopic:  Bar Magnet |
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A short bar magnet placed with its axis at 30° with an external field of 800 G experiences a torque of 0.016 Nm. What is the magnetic moment of the magnet?

1. 0.80 A m22. 0.40 A m23. 0.29 A m24. 0.60 A m2

Subtopic:  Bar Magnet |
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A short bar magnet placed with its axis at 30° with an external field of 800 G experiences a torque of 0.016 N-m. What is the work done in moving it from its most stable to the most unstable position?

1. 0.036 J

2. 0.016 J

3. 0.064 J

4. 0

Subtopic:  Bar Magnet |
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A solenoid of cross-sectional area 2×10-4 m2 and 1000 turns placed with its axis at 30° with an external field of 800 G experiences a torque of 0.016 Nm. The current flowing through the solenoid is:

1. 2 A

2. 4 A

3. 1 A

4. 5 A

Subtopic:  Bar Magnet |
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The ratio of the magnitudes of the equatorial and axial fields due to a bar magnet of length 5.0 cm at a distance of 50 cm from its mid-point is:
(Given, the magnetic moment of the bar magnet is \(0.40~Am^{2}.\))
1. \(\frac{1}{2}\)
2. \(2\)
3. \(1\)
4. 
\(\frac{3}{2}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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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 PQ1 and PQ2 configuration, the system is not in equilibrium.

(2) In PQ3 and PQ6 configuration, the system is unstable.

(3) In PQ5 and PQ4 configuration, the system is stable.

(4) PQ5 configuration corresponds to the lowest potential energy among all the configurations shown.

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Which of the following is the correct representation of magnetic field lines?

 

1. (g), (c)

2. (d), (f)

3. (a), (b)

4. (c), (e)

Subtopic:  Magnetic Field & Field Lines |
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Which one of the following is correct?

1. The magnetic field lines also represent the lines of force on a moving charged particle at every point.
2. Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid.
3. A bar magnet exerts a torque on itself due to its own field.
4. Magnetic field arises due to stationary charges.

Subtopic:  Magnetic Field & Field Lines |
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The earth’s magnetic field at the equator is approximately 0.4 G. The earth’s dipole moment is:
(Radius of earth, \(R_{E}=6.4\times10^{6} \) m)
1. \(1.05\times10^{23}\) A-m2
2. \(8.0\times10^{22}\) A-m2
3. \(4.5\times10^{23}\) A-m2
4. \(2.10\times10^{23}\) A-m2

Subtopic:  Earth's Magnetism |
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