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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%
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Given below are two statements:
Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero.
Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Analogy between Electrostatics & Magnetostatics |
 75%
From NCERT
NEET - 2022
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Given below are two statements: 
Assertion (A): When a magnet is brought near iron nails, only translatory force acts on it.
Reason (R): The field due to a magnet is generally uniform.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Magnetic Field & Field Lines |
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 |
 70%
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The unit of magnetic moment is:
1. A/m 2. Am
3. Am2 4. tesla
Subtopic:  Magnetization & Magnetic Intensity |
 84%
From NCERT
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A short bar magnet of magnetic moment \(0.4~\text{JT}^{-1}\) is placed in a uniform magnetic field of \(0.16~\text{T}\). The magnet is in stable equilibrium when the potential energy is:
1. \(0.064~\text{J}\)
2. \(-0.064~\text{J}\)
3. zero
4. \(-0.082~\text{J}\)
Subtopic:  Analogy between Electrostatics & Magnetostatics |
 85%
From NCERT
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Correct relation between magnetic field \(B,\) magnetic intensity \(H,\) and intensity of magnetization \(I\) is:
1. \( B=\mu_{0}\left(H+I\right)\)
2. \(I=\mu_0\left(H+B\right)\)
3. \(H=\mu_0\left(I+B\right)\)
4. \(B=2H\left(I+\mu_0\right)\)
Subtopic:  Magnetization & Magnetic Intensity |
 89%
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 |
 69%
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