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Q. No.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 |
61%
Level 2: 60%+
Hints
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 |
76%
Level 2: 60%+
NEET - 2022
Hints
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 |
Level 3: 35%-60%
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Hints
Please attempt this question first.
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 |
56%
Level 3: 35%-60%
Hints
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. \(B^{-1/3}\)
1. \(B^{-3}\)
2. \(B^{-2}\)
3. \(B^{-1/2}\)
4. \(B^{-1/3}\)
Subtopic: Bar Magnet |
69%
Level 2: 60%+
Hints
Subtopic: Magnetization & Magnetic Intensity |
84%
Level 1: 80%+
Hints
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. \(-0.082~\text{J}\)
1. \(0.064~\text{J}\)
2. \(-0.064~\text{J}\)
3. zero
4. \(-0.082~\text{J}\)
Subtopic: Analogy between Electrostatics & Magnetostatics |
85%
Level 1: 80%+
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Hints
Please attempt this question first.
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. \(B=2H\left(I+\mu_0\right)\)
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%
Level 1: 80%+
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Hints
Please attempt this question first.
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
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 |
81%
Level 1: 80%+
Hints
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%
Level 2: 60%+
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