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Q. No.Two particles of equal mass \(m\) and charge \(q\) move in a circular orbit of radius \(r\) under the influence of a magnetic field \(B\). The kinetic energy of the particles is proportional to (assume that the particles don't exert electrostatic forces on each other):
1. \(q^{2}\)
2. \(B^{2}\)
3. \(r^{2}\)
4. All of the above
Subtopic: Â Lorentz Force |
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The magnetic field at a point (\(P\)) on the axis of a circular current carrying wire is \(\dfrac18\) of the field at its centre. The radius of the circular curve is \(R.\) The distance between \(P\) and the cente of the circle \((OP).\) is:
Then,
Then,
| 1. | \(OP=R\) | 2. | \(OP=\dfrac R2\) |
| 3. | \(OP=\sqrt3R\) | 4. | \(OP=8R\) |
Subtopic: Â Magnetic Field due to various cases |
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A current \(i\) flows through a semi-circular loop of radius \(r,\) attached to two long straight wires along the open diameter of the loop. The magnetic field at the centre of the loop is:
1. \(\frac{\mu_0i}{4r}\)
2. \(\frac{\mu_0i}{4r}+\frac{\mu_0i}{2\pi r}\)
3. \(\frac{\mu_0i}{4r}+\frac{\mu_0i}{4\pi r}\)
4. \(\Big[\Big(\frac{\mu_0i}{4r}\Big)^2+\Big(\frac{\mu_0i}{4\pi r}\Big)^2\Big]^{\frac12}\)
1. \(\frac{\mu_0i}{4r}\)
2. \(\frac{\mu_0i}{4r}+\frac{\mu_0i}{2\pi r}\)
3. \(\frac{\mu_0i}{4r}+\frac{\mu_0i}{4\pi r}\)
4. \(\Big[\Big(\frac{\mu_0i}{4r}\Big)^2+\Big(\frac{\mu_0i}{4\pi r}\Big)^2\Big]^{\frac12}\)
Subtopic: Â Magnetic Field due to various cases |
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A charged particle moves in a circular path of radius \(r\) in a uniform magnetic field \(B,\) perpendicular to the plane of motion. The same particle is observed to move in a circular path around an infinite line charge \(\lambda\) (charge/unit length), moving with the same kinetic energy as before. The charge to mass ratio of the particle is proportional to:
1. \(\lambda Br\)
2. \(\frac{\lambda Br}{r}\)
3. \(\frac{\lambda}{Br}\)
4. \(\frac{\lambda}{B^2r^2}\)
1. \(\lambda Br\)
2. \(\frac{\lambda Br}{r}\)
3. \(\frac{\lambda}{Br}\)
4. \(\frac{\lambda}{B^2r^2}\)
Subtopic: Â Lorentz Force |
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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 |
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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 |
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NEET - 2022
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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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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 |
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NEET - 2022
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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 |
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NEET - 2022
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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%
From NCERT
NEET - 2022
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