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Two short bar magnets are placed at large distances from each other, with their axes aligned along the same line but in opposite directions to each other. A null point is formed between them at a distance \(r_1\) from the first magnet and \(r_2\) from the second. If the dipole moments of the magnets are \(P_1\) and \(P_2\), then:
1. \(\dfrac{r_1}{r_2}=\dfrac{P_1}{P_2}\)
2. \(\left(\dfrac{r_1}{r_2}\right)^2=\dfrac{P_1}{P_2} \)
3. \(\left(\dfrac{r_1}{r_2}\right)^3=\dfrac{P_1}{P_2} \)
4. none of the above is true.

Subtopic:  Bar Magnet |
 72%
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A sample of magnetic material is placed in a magnetic field. As the magnetic field is increased, its magnetisation increases and finally, it becomes constant — even if the field is increased further.
Now, the temperature of the sample is decreased. The magnetisation:
1. increases
2. decreases
3. remains unchanged
4. decreases first and then increases
Subtopic:  Magnetic Materials |
From NCERT
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Assume that the magnetic field of the earth is due to a small magnetic dipole, placed at the centre of the earth (radius: \(R\)). The magnetic field at the equator is \(B_e.\) The dipole moment of the dipole is:
1. \(\dfrac{\pi}{\mu_0}\left(B_eR^3\right )\) 2. \(\dfrac{2\pi}{\mu_0}\left(B_eR^3\right )\)
3. \(\dfrac{4\pi}{\mu_0}\left(B_eR^3\right )\) 4. \(\dfrac{2}{\mu_0}\left(B_eR^3\right )\)
Subtopic:  Bar Magnet |
 67%
From NCERT
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Two identical magnets are placed along the \(x\text-\)axis, equidistant from the origin and opposing each other. If a third magnet be placed at the origin along the \(y\text-\)axis, with its north-pole towards the positive \(y\text-\)axis, it will experience:
                     
1. force along +ve \(y\text-\)axis
2. force along -ve \(y\text-\)axis
3. zero force but a clockwise torque
4. zero force but an anticlockwise torque
Subtopic:  Bar Magnet |
 53%
From NCERT
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When a diamagnetic material is placed in a magnetic field, the field strength within the material is:
1. increased
2. decreased
3. unchanged
4. fluctuating with time: first increasing and then decreasing
Subtopic:  Magnetic Materials |
 69%
From NCERT
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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 |
 63%
From NCERT
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Two small paramagnetic samples are placed in an (otherwise uniform) strong external magnetic field \(B.\) If the two samples are placed with a separation that is along the direction of the external field \(B,\) then, the force exerted by the two samples on each other is:
1. attractive.
2. repulsive.
3. zero.
4. any of the above depending on the external field \(B\) and the sample separation.
Subtopic:  Magnetic Materials |
 55%
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A small permanent magnet is placed 'antiparallel' to a uniform magnetic field \(B.\) A null point is found at a distance \(r,\) on the axis of the magnet. Then, \(r\) is proportional to (nearly):
1. \(B^{-3}\) 2. \(B^{-2}\)
3. \(B^{-1/2}\) 4. \(B^{-1/3}\) 
Subtopic:  Bar Magnet |
 71%
From NCERT
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A \(100\)-turn coil of wire of size \(2~\text{cm}\times 1.5~\text{cm}\) is suspended between the poles of a magnet producing a field of \(1~\text T,\)  inside a galvanometer. Calculate the torque on the coil due to a current of \(0.1~\text{A}\) passing through the coil.
1. \(3 \times 10^{-5}\) N-m 
2. \(30\) N-m
3. \(3 \times 10^{-3}\) N-m 
4. \(3 \times 10^{-2}\) N-m 
Subtopic:  Bar Magnet |
 82%
From NCERT
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The coercive force for a certain magnet is \(3 \times 10^3 ~\text{A/m}\). This magnet is placed within a solenoid having \(40~\text{turns/cm}\). What current should be passed through the solenoid so that the magnet is demagnetized? 
1. \(0.75~\text{A}\) 2. \(75~\text{A}\)
3. \(1.33~\text{A}\) 4. \(133~\text{A}\)
Subtopic:  Magnetization & Magnetic Intensity |
 70%
From NCERT
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