Figure shows two small identical magnetic dipoles \(a\) and \(b\) of magnetic moments \(M\) each, placed at a separation \(2d\), with their axes perpendicular to each other. The magnetic field at the point \(P\) midway between the dipoles is:

         
 

1. \(\dfrac{2 \mu_{0} M}{4 \pi d^{3}}\) 2. \(\dfrac{\mu_{0} M}{4 \pi d^{3}}\)
3. zero 4. \(\dfrac{\sqrt{5}\mu_{0} M}{4\pi d^{3}}\)
Subtopic:  Bar Magnet |
 71%
Level 2: 60%+
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A magnetic needle suspended by a silk thread is vibrating in the earth's magnetic field. If the temperature of the needle is increased, then:

1. the time period decreases.
2. the time period remains unchanged.
3. the time period increases.
4. the time period first decreases then increases.

Subtopic:  Analogy between Electrostatics & Magnetostatics |
Level 3: 35%-60%
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Choose the correct statement regarding magnetism.

1. Paramagnetic sample displays greater magnetization when cooled.
2. Diamagnetism is almost independent of temperature.
3. Ferromagnetic substances show hysteresis.
4. All of these.

Subtopic:  Magnetic Materials |
 91%
Level 1: 80%+
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A Gaussian surface is drawn enclosing the N-pole of a bar magnet. The net magnetic flux through the Gaussian surface will be:
(pole strength of N-pole is treated as positive and S-pole as negative)

   

1. positive.
2. negative.
3. positive or negative.
4. zero.

Subtopic:  Bar Magnet |
 68%
Level 2: 60%+
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The magnetization of a piece of iron or steel:

1. depends on the strength of the magnetizing field.
2. depends on external conditions such as temperature.
3. cannot be done beyond the saturation point.
4. all of these.

Subtopic:  Magnetization & Magnetic Intensity |
 88%
Level 1: 80%+
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When a magnetic material is subjected to a very small magnetising force \(H,\) the intensity of magnetisation is proportional to:

1. \(\frac{1}{\sqrt{H}} \) 2. \(\sqrt{H} \)
3. \(H \) 4. \(H^2\)
Subtopic:  Magnetization & Magnetic Intensity |
 84%
Level 1: 80%+
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The bar magnet \(A\) of magnetic moment \(M_A\) is found to oscillate at a frequency twice that of magnet \(B\) of magnetic moment \(M_B\) and the same moment of inertia when placed in a vibration magnetometer. We may say that:

1. \(M_B=8M_A\) 2. \(M_A= 4M_B\)
3. \(M_A=8M_B\) 4. \(M_A=2M_B\)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
 85%
Level 1: 80%+
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The possible value of magnetic susceptibility of a diamagnetic material can be:

1. \(-2.45\)

2. \(0.75\)

3. \(-0.5\)

4. \(1.67\)

Subtopic:  Magnetic Materials |
 75%
Level 2: 60%+
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Due to a small magnet, the intensity at a distance \(x\) in the end-on position is \(9~\text{gauss}\). What will be the intensity at a distance \(\dfrac{x}{2}\) on equatorial position?
1. \(9~\text{gauss}\) 2. \(4~\text{gauss}\)
3. \(36~\text{gauss}\) 4. \(4.5~\text{gauss}\)
Subtopic:  Bar Magnet |
 74%
Level 2: 60%+
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A ferromagnetic material is placed in an external magnetic field. The magnetic domains:

1. must increase in size.
2. must decrease in size.
3. may increase or decrease in size.
4. disappear.

Subtopic:  Magnetic Materials |
 52%
Level 3: 35%-60%
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