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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%
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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 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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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 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%
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%
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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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%
From NCERT
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 A ferromagnetic material consists of domains in which the magnetic moments of the atoms are in the same direction within each domain. However, the domains are randomly oriented. A ferromagnetic material is placed in an external magnetic field. Then, 
1. all the domains grow in size.
2. all the domains shrink in size. 
3. some domains grow in size, others shrink.
4. domains rotate in the magnetic field.
Subtopic:  Magnetic Materials |
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The magnetic field, at a point \(10\) cm away, from a short bar magnet is \(3 \times 10^{-4}\) T, when the magnet is placed in an end-on position. If the magnet is in a broadside-on position, the field will be: 
1. \(6 \times 10^{-4}\) T  2. \(1.5 \times 10^{-4}\) T 
3. \(3 \sqrt2 \times 10^{-4}\) T  4. \({\dfrac 3 {\sqrt 2}}\times 10^{-4}\)
Subtopic:  Bar Magnet |
 79%
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