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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 \(1~\text{MeV}\) and the radius of the circular orbits for both particles is equal, the energy of the alpha particle will be:

1. \(4~\text{MeV}\)

2. \(0.5~\text{MeV}\)

3. \(1.5~\text{MeV}\)

4. \(1~\text{MeV}\)

Subtopic: Lorentz Force |

70%

From NCERT

NEET - 2015

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A circuit contains an ammeter, a battery of \(30~\text{V}\), and a resistance \(40.8~\Omega\)$$ all connected in series. If the ammeter has a coil of resistance \(480~\Omega\)$$ and a shunt of \(20~\Omega\)$$, then the reading in the ammeter will be:

1. \(0.5~\text{A}\)

2. \(0.02~\text{A}\)

3. \(2~\text{A}\)

4. \(1~\text{A}\)

Subtopic: Conversion to Ammeter & Voltmeter |

61%

From NCERT

NEET - 2015

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

1. \(0.15~\text{N-m}\)

2. \(0.20~\text{N-m}\)

3. \(0.24~\text{N-m}\)

4. \(0.12~\text{N-m}\)

Subtopic: Current Carrying Loop: Force & Torque |

From NCERT

NEET - 2015

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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 \(Y\text-Z\) 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 |

66%

From NCERT

NEET - 2015

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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. \(\frac{\mu_0ne}{2\pi r}\)

2. zero

3. \(\frac{n^2e}{r}\)

4. \(\frac{\mu_0ne}{2r}\)

Subtopic: Magnetic Field due to various cases |

65%

From NCERT

NEET - 2015

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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. | \({1 \over 499}G\) | 2. | \({499 \over 500}G\) |

3. | \({1 \over 500}G\) | 4. | \({500 \over 499}G\) |

Subtopic: Conversion to Ammeter & Voltmeter |

53%

From NCERT

AIPMT - 2014

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Two identical long conducting wires \(\mathrm{AOB}\) and \(\mathrm{COD}\) 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. \(\frac{\mu_0}{2\pi d}\left(\frac{I_1}{I_2}\right )\)

2. \(\frac{\mu_0}{2\pi d}\left[I_1+I_2\right ]\)

3. \(\frac{\mu_0}{2\pi d}\left[I^2_1+I^2_2\right ]\)

4. \(\frac{\mu_0}{2\pi d}\sqrt{\left[I^2_1+I^2_2\right ]}\)

Subtopic: Magnetic Field due to various cases |

75%

From NCERT

AIPMT - 2014

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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: Current Carrying Loop: Force & Torque |

74%

From NCERT

AIPMT - 2013

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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. | \(\frac{M a_0}{e} ~\text{west,}~ \frac{M a_0}{e v_0}~\text{up}\) |

2. | \(\frac{M a_0}{e} ~\text {west,} ~\frac{2 M a_0}{e v_0}~\text{down}\) |

3. | \(\frac{M a_0}{e} ~\text{east,} \frac{2 M a_0}{e v_0}~\text{up}\) |

4. | \(\frac{M a_0}{e} ~\text {east,} \frac{3 M a_0}{e v_0} ~\text {down}\) |

Subtopic: Lorentz Force |

56%

From NCERT

AIPMT - 2013

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A long straight wire carries a certain current and produces a magnetic field \(2 \times 10^{-4} \) Wb/m^{2} at a perpendicular distance of \(5\) cm from the wire. An electron situated at \(5\) cm from the wire moves with a velocity \(10^7 \) m/s towards the wire along perpendicular to it. The force experienced by the electron will be:

(Charge on electron = \(1.6 \times 10^{-19} \) C)

1. \(3.2\) N

2. \(3.2 \times 10^{-16} \) N

3. \(1.6 \times 10^{-16} \) N

4. zero

(Charge on electron = \(1.6 \times 10^{-19} \) C)

1. \(3.2\) N

2. \(3.2 \times 10^{-16} \) N

3. \(1.6 \times 10^{-16} \) N

4. zero

Subtopic: Lorentz Force |

73%

From NCERT

NEET - 2013

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