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A ring of radius \(R\) carries a linear charge density \(\lambda\). It is rotating with angular speed \(\omega\) about an axis passing through the centre and perpendicular to the plane.
What is the magnetic field at its centre?
1.
\(\dfrac{3 \mu_{0} \lambda \omega}{2}\)
2.
\(\dfrac{\mu_{0} \lambda \omega}{2}\)
3.
\(\dfrac{\mu_{0} \lambda \omega}{\pi}\)
4.
\(\mu_{0} \lambda \omega\)
Subtopic: Magnetic Field due to various cases |
74%
Level 2: 60%+
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The figure depicts a cross-section of a large metal sheet with an electric current flowing along its surface. The current in a \(dl\)-width strip is (\(Kdl\)), where \(K\) is a constant. What is the magnetic field at a point \(P\) and at a distance \(x\) from the metal strips?
1. \(\frac{1}{2} \mu_{0} K x\)
2. \(\mu_{0} K\)
3. \(\frac{1}{2} \mu_{0} K\)
4. \(\frac{\mu_{0} K x}{4}\)
1. \(\frac{1}{2} \mu_{0} K x\)
2. \(\mu_{0} K\)
3. \(\frac{1}{2} \mu_{0} K\)
4. \(\frac{\mu_{0} K x}{4}\)
Subtopic: Ampere Circuital Law |
Level 3: 35%-60%
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A galvanometer having a resistance of \(8\) ohms is shunted by a wire of resistance of \(2\) ohms. If the total current is \(1~\text{A},\) the part of it passing through the shunt will be:
1. \(0.25~\text{A}\)
2. \(0.8~\text{A}\)
3. \(0.2~\text{A}\)
4. \(0.5~\text{A}\)
1. \(0.25~\text{A}\)
2. \(0.8~\text{A}\)
3. \(0.2~\text{A}\)
4. \(0.5~\text{A}\)
Subtopic: Conversion to Ammeter & Voltmeter |
70%
Level 2: 60%+
PMT - 1998
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The current sensitivity of a moving coil galvanometer is \(5\) div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is \(20\) div/V. How much is the resistance of the galvanometer?
| 1. | \(40~ \Omega\) | 2. | \(25~ \Omega\) |
| 3. | \(250~ \Omega\) | 4. | \(500~ \Omega\) |
Subtopic: Moving Coil Galvanometer |
75%
Level 2: 60%+
NEET - 2018
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Perpendicularly, an electron and a proton enter a magnetic field. Both have the same amount of kinetic energy. Which of the following statements is correct?
| 1. | Trajectory of electron is less curved |
| 2. | Trajectory of proton is less curved |
| 3. | Both trajectories are equally curved |
| 4. | Both move on a straight-line path |
Subtopic: Lorentz Force |
52%
Level 3: 35%-60%
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A particle having a mass of \(10^{-2}~\text{kg}\) carries a charge of \(5\times 10^{-8}~\text{C}.\) The particle is given an initial horizontal velocity of \(10^{5}~\text{ms}^{-1}\) in the presence of an electric field \(\vec{E}\) and magnetic field \(\vec{B}.\) How can we keep the particles moving in a horizontal direction?
| a. | \(\vec{B}\) should be perpendicular to the direction of velocity and \(\vec{E}\) should be along the direction of velocity. |
| b. | Both \(\vec{B}\) and \(\vec{E}\) should be along the direction of velocity. |
| c. | Both \(\vec{B}\) and \(\vec{E}\) are mutually perpendicular and perpendicular to the direction of velocity. |
| d. | \(\vec{B}\) should be along the direction of velocity and \(\vec{E}\) should be perpendicular to the direction of velocity. |
Which one of the following pairs of statements are possible?
1. (a) and (c)
2. (c) and (d)
3. (b) and (c)
4. (b) and (d)
Subtopic: Lorentz Force |
60%
Level 2: 60%+
NEET - 2010
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A long solenoid has \(800\) turns per metre of the length of the solenoid. A current of \(1.6\) A flows through it. What is the magnetic induction at the end of the solenoid on its axis?
| 1. | \(16 \times 10^{-4}~\text{T}\) | 2. | \(8 \times 10^{-4}~\text{T}\) |
| 3. | \(32 \times 10^{-4}~\text{T}\) | 4. | \(4 \times 10^{-4}~\text{T}\) |
Subtopic: Ampere Circuital Law |
66%
Level 2: 60%+
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A cell is connected between the points \(A\) and \(C\) of a circular conductor \(ABCD\) of centre \(O\) with an angle of \(AOC = 60^{\circ}.\)
If \(B_1\) and \(B_2\) are the magnitudes of the magnetic fields at \(O\) due to the currents in \(ABC\) and \(ADC\) respectively, the ratio \(B_1:B_2\) will be:
If \(B_1\) and \(B_2\) are the magnitudes of the magnetic fields at \(O\) due to the currents in \(ABC\) and \(ADC\) respectively, the ratio \(B_1:B_2\) will be:
| 1. | \(0.2\) | 2. | \(6\) |
| 3. | \(1\) | 4. | \(5\) |
Subtopic: Magnetic Field due to various cases |
55%
Level 3: 35%-60%
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What is the result of an electric charge in uniform motion?
| 1. | an electric field only. |
| 2. | a magnetic field only. |
| 3. | both electric and magnetic field. |
| 4. | neither electric nor magnetic field. |
Subtopic: Lorentz Force |
82%
Level 1: 80%+
PMT - 1971
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Two particles each of mass \(m\) and charge \(q\) are attached to the two ends of a light rigid rod of length \(2R\). The rod is rotated at constant angular speed about a perpendicular axis passing through its centre.
What is the ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod?
1. \(\frac{q}{2m}\)
2. \(\frac{q}{m}\)
3. \(\frac{2q}{m}\)
4. \(\frac{q}{\pi m}\)
Subtopic: Magnetic Moment |
81%
Level 1: 80%+
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