Q. No.A square current-carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is \( \overrightarrow{F}\), what will be the net force on the remaining three arms of the loop?
1.
\(3 \overrightarrow{F}\)
2.
\(- \overrightarrow{F}\)
3.
\(-3 \overrightarrow{F}\)
4.
\( \overrightarrow{F}\)
| 1. | \(8\) N in \(-z\text-\)direction. |
| 2. | \(4\) N in the \(z\text-\)direction. |
| 3. | \(8\) N in the \(y\text-\)direction. |
| 4. | \(8\) N in the \(z\text-\)direction. |
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. \(F_{3} - F_{1} + F_{2}\)
A particle of mass \(m,\) charge \(Q,\) and kinetic energy \(T\) enters a transverse uniform magnetic field of induction \(\vec B.\) What will be the kinetic energy of the particle after seconds?
| 1. | \(3{T}\) | 2. | \(2{T}\) |
| 3. | \({T}\) | 4. | \(4{T}\) |
A beam of electrons passes un-deflected through mutually perpendicular electric and magnetic fields. Where do the electrons move if the electric field is switched off and the same magnetic field is maintained?
| 1. | in an elliptical orbit. |
| 2. | in a circular orbit. |
| 3. | along a parabolic path. |
| 4. | along a straight line. |
Two identical long conducting wires \(({AOB})\) and \(({COD})\) are placed at a right angle to each other, with one above the other such that '\(O\)' is the common point for the two. The wires carry \(I_1\) and \(I_2\) currents, respectively. The point '\(P\)' is lying at a distance '\(d\)' from '\(O\)' along a direction perpendicular to the plane containing the wires. What will be the magnetic field at the point \(P?\)
| 1. | \(\dfrac{\mu_0}{2\pi d}\left(\dfrac{I_1}{I_2}\right )\) | 2. | \(\dfrac{\mu_0}{2\pi d}\left[I_1+I_2\right ]\) |
| 3. | \(\dfrac{\mu_0}{2\pi d}\left[I^2_1+I^2_2\right ]\) | 4. | \(\dfrac{\mu_0}{2\pi d}\sqrt{\left[I^2_1+I^2_2\right ]}\) |
| 1. | \(7.14\) A | 2. | \(5.98\) A |
| 3. | \(14.76\) A | 4. | \(11.32\) A |
| 1. | \(1~\text{GHz}\) | 2. | \(100~\text{MHz}\) |
| 3. | \(62.8~\text{MHz}\) | 4. | \(6.28~\text{MHz}\) |
A rectangular loop carrying a current \(I_1,\) is situated near a long straight wire carrying a steady current \(I_2.\) If the wire is parallel to one of the sides of the loop and is in the plane of the loop as shown in the figure, then the current loop will:
1. move away from the wire.
2. move towards the wire.
3. remain stationary.
4. rotate about an axis parallel to the wire.
(\(N=\) number of turns, \(B=\) magnetic field, \(A=\) area of coil, and \(C=\) Torsional constant of spring)
| 1. | \(N\) is small | 2. | \(B\) is small |
| 3. | \(A\) is small | 4. | \(C\) is small |
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