Moving perpendicular to field B, a proton and an alpha particle both enter an area of uniform magnetic field B. If the kinetic energy of the proton is 1 MeV and the radius of the circular orbits for both particles is equal, the energy of the alpha particle will be:

1. 4 MeV

2. 0.5 MeV

3. 1.5 MeV

4. 1 MeV

Subtopic: Lorentz Force |

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A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 Wb/m^{2}. The coil carries a current of 2 A. If the plane of the coil is inclined at an angle of 30^{o} with the direction of the field, the torque required to keep the coil in stable equilibrium will be:

1. 0.15 N-m

2. 0.20 N-m

3. 0.24 N-m

4. 0.12 N-m

Subtopic: Current Carrying Loop: Force & Torque |

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A wire carrying current I has the shape as shown in the adjoining figure. Linear parts of the wire are very long and parallel to X-axis while the semicircular portion of radius R is lying in the Y –Z plane. The magnetic field at point O is:

1. \(B=\frac{\mu i }{4\pi R}\left ( \pi \hat{i}+2\hat{k} \right )\)

2. \(B=-\frac{\mu i }{4\pi R}\left ( \pi \hat{i}-2\hat{k} \right )\)

3. \(B=-\frac{\mu i }{4\pi R}\left ( \pi \hat{i}+2\hat{k} \right )\)

4. \(B=\frac{\mu i }{4\pi R}\left ( \pi \hat{i}-2\hat{k} \right )\)
2. \(B=-\frac{\mu i }{4\pi R}\left ( \pi \hat{i}-2\hat{k} \right )\)

3. \(B=-\frac{\mu i }{4\pi R}\left ( \pi \hat{i}+2\hat{k} \right )\)

Subtopic: Magnetic Field due to various cases |

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An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the centre has a magnitude:

1. μ_{0}ne/2πr

2. zero

3. n^{2}e/r

4. μ_{0}ne/2r

Subtopic: Magnetic Field due to various cases |

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In an ammeter, 0.2% of the main current passes through the galvanometer. If the resistance of the galvanometer is G, the resistance of the ammeter will be:

1. $\frac{1}{499}G$

2. $\frac{499}{500}G$

3. $\frac{1}{500}G$

4. $\frac{500}{499}G$

Subtopic: Conversion to Ammeter & Voltmeter |

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Two identical long conducting wires AOB and COD are placed at a right angle to each other, with one above the other such that 'O' is the common point for the two. The wires carry I_{1} and *I*_{2} currents, respectively.
Point 'P' is lying at a distance 'd' from 'O' along a direction perpendicular to the plane containing the wires. What will be the magnetic field at the point "P"?

1. $\frac{{\mu}_{0}}{2\mathrm{\pi d}}\left(\frac{{I}_{1}}{{I}_{2}}\right)$

2. $\frac{{\mu}_{0}}{2\mathrm{\pi d}}\left({I}_{1}+{I}_{2}\right)$

3. $\frac{{\mu}_{0}}{2\mathrm{\pi d}}\left({I}_{1}^{2}+{I}_{2}^{2}\right)$

4. $\frac{{\mu}_{0}}{2\mathrm{\pi d}}{\left({I}_{1}^{2}+{I}_{2}^{2}\right)}^{1/2}$

Subtopic: Magnetic Field due to various cases |

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A current loop in a magnetic field:

1. | can be in equilibrium in one orientation. |

2. | can be in equilibrium in two orientations, both the equilibrium states are unstable. |

3. | can be in equilibrium in two orientations, one stable while the other is unstable. |

4. | experiences a torque whether the field is uniform or non-uniform in all orientations. |

Subtopic: Magnetic Field due to various cases | Current Carrying Loop: Force & Torque |

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When a proton is released from rest in a room, it starts with an initial acceleration a_{0} towards the east. When it is projected towards the north with a speed of v_{0}, it moves with an initial acceleration of 3a_{0} towards the east. What are the electric and magnetic fields in the room?

1. \(\frac{Ma_{0}}{e}~west,~\frac{Ma_{0}}{ev_{0}}~up\)

2. \(\frac{Ma_{0}}{e}~west,~\frac{2Ma_{0}}{ev_{0}}~down\)

3. \(\frac{Ma_{0}}{e}~east,~\frac{2Ma_{0}}{ev_{0}}~up\)

4. \(\frac{Ma_{0}}{e}~east,~\frac{3Ma_{0}}{ev_{0}}~down\)

Subtopic: Lorentz Force |

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Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. What will be the resultant magnetic field induction at the centre?

1. $\frac{\sqrt{5}{\mu}_{0}I}{2R}$

2. $\frac{3{\mu}_{0}I}{2R}$

3. $\frac{{\mu}_{0}I}{2R}$

4. $\frac{{\mu}_{0}I}{R}$

Subtopic: Magnetic Field due to various cases |

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A millivoltmeter of 25 mV range is to be converted into an ammeter of 25 A range. The value (in ohm) of necessary shunt will be:

1. 0.001

2. 0.01

3. 1

4. 0.05

Subtopic: Conversion to Ammeter & Voltmeter |

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