Q. No.| 1. | \(3 \overrightarrow{F}\) | 2. | \(- \overrightarrow{F}\) |
| 3. | \(-3 \overrightarrow{F}\) | 4. | \( \overrightarrow{F}\) |
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A closed-loop \(PQRS\) carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments \(PS,\) \(SR,\) and \(RQ\) are \(F_1, F_2~\text{and}~F_3\) respectively, and are in the plane of the paper and along the directions shown, then which of the following forces acts on the segment \(QP?\)
1. \(F_{3} - F_{1} - F_{2}\)
2. \(\sqrt{\left(F_{3} - F_{1}\right)^{2} + F_{2}^{2}}\)
3. \(\sqrt{\left(F_{3} - F_{1}\right)^{2} - F_{2}^{2}}\)
4. \(F_{3} - F_{1} + F_{2}\)
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| 1. | \(-F\) | 2. | \(F\) |
| 3. | \(2F\) | 4. | \(-2F\) |
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1. \(1.5\times10^{-3}\) Nm
2. \(1.5\times10^{-2}\) Nm
3. \(3\times10^{-2}\) Nm
4. \(3\times10^{-3}\) Nm
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A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is \(60^{\circ}\), and one of the fields has a magnitude of \(1.2\times 10^{-2}~\text{T}\). If the dipole comes to stable equilibrium at an angle of \(15^{\circ}\) with this field, what is the magnitude of the other field? \(\left[\text{Given} : \sin 15^ \circ = 0 . 26\right]\)
1. \( 7.29 \times10^{-3} ~\text{T} \)
2. \( 4.39 \times10^{-3} ~\text{T} \)
3. \( 6.18 \times10^{-3} ~\text{T} \)
4. \(5.37 \times10^{-3} ~\text{T} \)
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1. \(\frac{2}{\sqrt{3}} \left(\frac{\tau}{Bi}\right)\)
2. \(\frac{1}{\sqrt{3}} \frac{\tau}{Bi}\)
3. \(2 \left(\frac{\tau}{\sqrt{3} Bi} \right)^{\frac{1}{2}}\)
4. \(\frac{2}{\sqrt{3}} \left(\frac{\tau}{Bi} \right)^{\frac{1}{2}}\)
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1. \(0.25~\text{N-m}\)
2. \(5.2~\text{N-m}\)
3. \(2.5~\text{N-m}\)
4. \(0.52~\text{N-m}\)
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If a square loop \({ABCD}\) carrying a current \(i\) is placed near and coplanar with a long straight conductor \({XY}\) carrying a current \(I,\) what will be the net force on the loop?
1. \(\dfrac{\mu_0Ii}{2\pi}\)
2. \(\dfrac{2\mu_0IiL}{3\pi}\)
3. \(\dfrac{\mu_0IiL}{2\pi}\)
4. \(\dfrac{2\mu_0Ii}{3\pi}\)
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| 1. | \(B\) acts along the \(x\text-\)axis |
| 2. | \(B\) acts along the \(y\text-\)axis |
| 3. | \(B\) acts along the \(z\text-\)axis |
| 4. | \(B\) can act along any of the above direction for the net force to be zero |
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Two insulated rings, one of a slightly smaller diameter than the other, are suspended along their common diameter as shown. Initially, the planes of the rings are mutually perpendicular. What happens when a steady current is set up in each of them?
| 1. | the two rings rotate into a common plane. |
| 2. | the inner ring oscillates about its initial position. |
| 3. | the inner ring stays stationary while the outer one moves into the plane of the inner ring. |
| 4. | the outer ring stays stationary while the inner one moves into the plane of the outer ring. |
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