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Q. No.
A charge \(Q\) is uniformly distributed on a ring of radius \(R\) made of an insulating material. If the ring rotates about the axis passing through its centre and normal to the plane of the ring with constant angular speed \(\omega\), then what will be the magnitude of the magnetic moment of the ring?
1. \(Q \omega R^{2}\)
2. \(\frac{1}{2} Q \omega R^{2}\)
3. \(Q \omega^{2} R\)
4. \(\frac{1}{2} Q\omega^{2} R\)
1. \(Q \omega R^{2}\)
2. \(\frac{1}{2} Q \omega R^{2}\)
3. \(Q \omega^{2} R\)
4. \(\frac{1}{2} Q\omega^{2} R\)
Subtopic: Magnetic Moment |
83%
Level 1: 80%+
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Two long parallel copper wires carry currents of \(5\) A each in opposite directions. If the wires are separated by a distance of \(0.5\) m, then the force between the two wires will be:
| 1. | \(10^{-5} ~\text{N} \), attractive |
| 2. | \(10^{-5}~\text{N} \), repulsive |
| 3. | \(2 \times 10^{-5}~\text{N} \), attractive |
| 4. | \(2 \times 10^{-5} ~\text{N} \), repulsive |
Subtopic: Force between Current Carrying Wires |
82%
Level 1: 80%+
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A long wire \(A\) carries a current of \(10\) A. Another long wire \(B\), which is parallel to \(A\) and separated by \(0.1\) m from \(A\), carries a current of \(5\) A, in the opposite direction to that in \(A\). What is the magnitude and nature of the force experienced per unit length of \(B\)?
\(\left(\mu_0= 4\pi \times 10^{-7}~\text{weber/(amp-m)}\right)\)
\(\left(\mu_0= 4\pi \times 10^{-7}~\text{weber/(amp-m)}\right)\)
| 1. | Repulsive force of \(10^{-4}~\text{N/m}\) |
| 2. | Attractive force of \(10^{-4}~\text{N/m}\) |
| 3. | Repulsive force of \(2 \pi \times 10^{-5}~\text{N/m}\) |
| 4. | Attractive force of \(2 \pi \times 10^{-5}~\text{N/m}\) |
Subtopic: Force between Current Carrying Wires |
81%
Level 1: 80%+
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What is the relation between voltage sensitivity \((\sigma_v)\) and current sensitivity \((\sigma_i)\) of a moving coil galvanometer? (Resistance of Galvanometer = \(G\))
1. \(\frac{\sigma_{i}}{G} = \sigma_{v}\)
2. \(\frac{\sigma_{v}}{G} =\sigma_{i}\)
3. \(\frac{G}{\sigma_{v}} =\sigma_{i}\)
4. \(\frac{G}{\sigma_{i}} =\sigma_{v}\)
1. \(\frac{\sigma_{i}}{G} = \sigma_{v}\)
2. \(\frac{\sigma_{v}}{G} =\sigma_{i}\)
3. \(\frac{G}{\sigma_{v}} =\sigma_{i}\)
4. \(\frac{G}{\sigma_{i}} =\sigma_{v}\)
Subtopic: Moving Coil Galvanometer |
77%
Level 2: 60%+
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A galvanometer having a coil resistance of \(60~\Omega\) shows full-scale deflection when a current of \(1.0\) A passes through it. How can we convert it into an ammeter capable of reading currents up to \(5.0\) A?
| 1. | putting in series resistance of \(240 ~\Omega \text {. }\) |
| 2. | putting in parallel resistance of \(240 ~\Omega \text {. }\) |
| 3. | putting in series resistance of \(15~ \Omega \text {. }\) |
| 4. | putting in parallel resistance of \(15~ \Omega \text {. }\) |
Subtopic: Conversion to Ammeter & Voltmeter |
80%
Level 1: 80%+
NEET - 2009
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A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is \(B\). It is then bent into a circular coil of \(n\) turns. What will the magnetic field be at the centre of this \(n\text-\)turn coil?
| 1. | \(nB\) | 2. | \(n^2B\) |
| 3. | \(2nB\) | 4. | \(2n^2B\) |
Subtopic: Magnetic Field due to various cases |
83%
Level 1: 80%+
NEET - 2016
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If an \(i~\text{A}\) current flows through an infinitely long, straight, thin-walled tube, what will be the magnetic induction at any point within the tube?
| 1. | infinite | 2. | zero |
| 3. | \( \frac{\mu_0 2 i}{4 \pi} ~\text{T} \) | 4. | \( \frac{\mu_0 i}{2 r} ~\text{T} \) |
Subtopic: Ampere Circuital Law |
82%
Level 1: 80%+
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If the magnetic field at the centre of the circular coil is \(B_0,\) then what is the distance on its axis from the centre of the coil where \(B_x=\frac{B_0}{8}?\)
(\(R\) = radius of the coil)
(\(R\) = radius of the coil)
| 1. | \(R \over 3\) | 2. | \(\sqrt{3}R\) |
| 3. | \(R \over \sqrt3\) | 4. | \(R \over 2\) |
Subtopic: Magnetic Field due to various cases |
74%
Level 2: 60%+
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A charged particle is projected in a uniform magnetic field at an angle of \(45^{\circ}\) to the magnetic field. If the circumference of the helical path followed by it is \(2\) cm, then the pitch of the helix will be:
1. \(1\) cm
2. \(\sqrt{2}\) cm
3. \(2\) cm
4. \(4\) cm
1. \(1\) cm
2. \(\sqrt{2}\) cm
3. \(2\) cm
4. \(4\) cm
Subtopic: Lorentz Force |
Level 3: 35%-60%
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A wire of length \(l\) carrying current \(i\) is folded to form a circular coil of \(N\) turns. What should be the value of \(N\) to have the maximum value of the magnetic moment in the coil?
1. \(1\)
2. \(4\)
3. \(9\)
4. \(10\)
Subtopic: Magnetic Moment |
62%
Level 2: 60%+
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