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Q. No.A particle having a mass of \(10^{-2}\) kg carries a charge of \(5\times 10^{-8}~\mathrm{C}\). The particle is given an initial horizontal velocity of \(10^5~\mathrm{ms^{-1}}\) in the presence of electric field \(\vec{E}\) and magnetic field \(\vec{B}\) . To keep the particle moving in a horizontal direction, it is necessary that:
(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 is possible?
1.
(c) and (d)
2.
(b) and (c)
3.
(b) and (d)
4.
(a) and (c)
should be along the direction of velocity.
Subtopic: Lorentz Force |
61%
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AIPMT - 2010
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Given below are two statements:
| Statement I: | The magnetic field due to a segment \(\overrightarrow{dl}\) of a current-carrying wire carrying a current, \(I\) is given by: \(\overrightarrow{dB}=\frac{\mu_0}{4\pi}~I\left(\overrightarrow{dl}\times\frac{\overrightarrow r}{r^3}\right )\), where \(\vec{r}\) is the position vector of the field point with respect to the wire segment. |
| Statement II: | The magnetic field of a current-carrying wire is never parallel to the wire. |
| 1. | Statement I and Statement II are True and Statement I is the correct explanation of Statement II. |
| 2. | Statement I and Statement II are True and Statement I is not the correct explanation of Statement II. |
| 3. | Statement I is True, Statement II is False. |
| 4. | Statement I is False, Statement II is True. |
Subtopic: Biot-Savart Law |
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The correct plot of the magnitude of the magnetic field \(\vec B\) vs distance \(r\) from centre of the wire is:
(if the radius of the wire is \(R\).)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Ampere Circuital Law |
87%
From NCERT
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A long solenoid has a square cross-section of side \(a\). It has turn-density n (number of turns per unit axial length). A current \(i\) is passed through this solenoid. The magnetic field at the centre of the solenoid is \(B_c\). Then, \(B_c\) is proportional to:
(I) \(a\)
(II) \(1\over a\)
(III) \(n\)
(IV) \(i\)
1. I, III, IV
2. II, III, IV
3. III, IV
4. IV Only
(I) \(a\)
(II) \(1\over a\)
(III) \(n\)
(IV) \(i\)
1. I, III, IV
2. II, III, IV
3. III, IV
4. IV Only
Subtopic: Magnetic Field due to various cases |
70%
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Given below are two statements:
| Assertion (A): | Work done by magnetic force on a charged particle moving in a uniform magnetic field is zero. |
| Reason (R): | Path of a charged particle in a uniform magnetic field, projected in the direction of field, will be a straight line. |
| 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: Lorentz Force |
56%
From NCERT
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Given below are two statements:
| Assertion (A): | If a proton and an \(\alpha\)-particle enter in a uniform magnetic field perpendicularly with the same speed, the time period of revolution of \(\alpha\)-particle is double to that of a proton. |
| Reason (R): | In a magnetic field, the period of revolution of a charged particle is directly proportional to the charge of the particle and inversely proportional to the mass of the particle. |
| 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: Lorentz Force |
73%
From NCERT
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Given below are two statements:
| Assertion (A): | Magnetic field interacts with a moving charge and not with a stationary charge. |
| Reason (R): | A moving charge produces a magnetic field, which interacts with another magnetic field. |
| 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: Lorentz Force |
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Given below are two statements:
| Assertion (A): | If a charged particle is moving on a circular path in a perpendicular magnetic field, the momentum of the particle is not changing. |
| Reason (R): | The velocity of the particle is not changing in the magnetic field. |
| 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: Lorentz Force |
66%
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A current-carrying wire is placed in a uniform magnetic field and the force on the wire is measured at different angular positions of the wire, as it is rotated in the \(x-y\) plane. Initially, the wire is along the \(x\)-axis. The magnitude of the magnetic force\((F)\) is plotted as a function of the angle\((\theta)\) made by the current-carrying wire with the \(x\)-axis.
Which of the following is the possible magnetic field (in tesla)?
1. \(2\hat j\)
2. \(2\hat k\)
3. \(2\hat i+2\hat k\)
4. \(2\hat j+2\hat k\)
Which of the following is the possible magnetic field (in tesla)?
1. \(2\hat j\)
2. \(2\hat k\)
3. \(2\hat i+2\hat k\)
4. \(2\hat j+2\hat k\)
Subtopic: Magnetic Field due to various cases |
From NCERT
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Given below are two statements:
| Statement I: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only. |
| Statement II: | Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\) |
| 1. | Statement I is false but Statement II is true. |
| 2. | Both Statement I and Statement II are true. |
| 3. | Both Statement I and Statement II are false. |
| 4. | Statement I is true but Statement II is false. |
Subtopic: Biot-Savart Law |
52%
From NCERT
NEET - 2022
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