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Q. No.Given below are two statements:
Statement I:
A charged particle moving in a magnetic field experiences a force which is zero only when it moves in the direction of the field or against it.
Statement II:
Whenever a charged particle moves in a uniform magnetic field, its trajectory may be a circle, a straight line or a helix.
1.
Statement I is incorrect and Statement II is correct.
2.
Both Statement I and Statement II are correct.
3.
Both Statement I and Statement II are incorrect.
4.
Statement I is correct and Statement II is incorrect.
Subtopic: Â Lorentz Force |
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The shape of the magnetic field lines due to an infinite long, straight current carrying conductor is:
1. a straight line
2. circular
3. elliptical
4. a plane
1. a straight line
2. circular
3. elliptical
4. a plane
Subtopic: Â Magnetic Field due to various cases |
 69%
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Two very long, straight, parallel conductor \(\mathrm{A}\) and \(\mathrm{B}\) carry current of \(5~\text{A}\) and \(10~\text{A}\) respectively and are at a distance of \(10~\mathrm{cm}\) from each other. The direction of the current in the two conductors is the same. The force acting per unit length between two conductors is:
(\(\mu_0=4\pi \times 10^{-7}\) SI unit)
(\(\mu_0=4\pi \times 10^{-7}\) SI unit)
| 1. | \(2\times10^{-4}~\text{Nm}^{-1}\) and is attractive |
| 2. | \(2\times10^{-4}~\text{Nm}^{-1}\) and is repulsive |
| 3. | \(1\times10^{-4}~\text{Nm}^{-1}\) and is attractive |
| 4. | \(1\times10^{-4}~\text{Nm}^{-1}\) and is repulsive |
Subtopic: Â Force between Current Carrying Wires |
 71%
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Two long parallel wires carrying currents \(I_1\) and \(I_2\) give a magnetic field of \(3\) G at a point exactly mid-way between the two wires. When one of the currents is reversed, the field becomes \(5\) G. The ratio of the large current to the smaller one is:
| 1. | \(2\) | 2. | \(\frac43\) |
| 3. | \(\frac32\) | 4. | \(4\) |
Subtopic: Â Magnetic Field due to various cases |
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A strong magnetic field is applied along the direction of the velocity of an electron. The electron would move along:
| 1. | a parabolic path |
| 2. | the original path |
| 3. | a helical path |
| 4. | a circular path |
Subtopic: Â Lorentz Force |
 65%
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The ratio of the radii of two circular coils is \(1:2\). The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:
1. \(4:1\)
2. \(2:1\)
3. \(1:2\)
4. \(1:4\)
Subtopic: Â Magnetic Moment |
 61%
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From Ampere's circuital law, for a long straight wire of circular cross-section carrying a steady current, the variation of the magnetic field inside and outside the region of the wire is:
| 1. | a linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region. |
| 2. | uniform and remains constant for both regions. |
| 3. | a linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region. |
| 4. | a linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region. |
Subtopic: Â Ampere Circuital Law |
 62%
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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: Â Biot-Savart Law |
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A long solenoid of radius \(1~\text{mm}\) has \(100\) turns per mm. If \(1~\text{A}\) current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
| 1. | \(6.28 \times 10^{-4} ~\text{T} \) | 2. | \(6.28 \times 10^{-2}~\text{T}\) |
| 3. | \(12.56 \times 10^{-2}~\text{T}\) | 4. | \(12.56 \times 10^{-4} ~\text{T}\) |
Subtopic: Â Magnetic Field due to various cases |
 63%
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A galvanometer \(G\) (having very small resistance), when connected with a resistance of \(10~\text k\Omega\) in series, can function as a voltmeter measuring a maximum voltage of \(20\) V. The current required to give a full scale deflection on the galvanometer is:
1. \(0.1\) mA
2. \(0.2\) mA
3. \(1\) mA
4. \(2\) mA
1. \(0.1\) mA
2. \(0.2\) mA
3. \(1\) mA
4. \(2\) mA
Subtopic: Â Moving Coil Galvanometer |
 79%
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