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A circular disc of radius \(0.2\) m is placed in a uniform magnetic field of induction \(\frac{1}{\pi} \left(\frac{\text{Wb}}{\text{m}^{2}}\right)\) in such a way that its axis makes an angle of \(60^{\circ}\) with \(\vec {B}.\) The magnetic flux linked to the disc will be:

1. | \(0.02\) Wb | 2. | \(0.06\) Wb |

3. | \(0.08\) Wb | 4. | \(0.01\) Wb |

Subtopic: Magnetic Flux |

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NEET - 2008

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If a current is passed through a circular loop of radius \(R\) then magnetic flux through a coplanar square loop of side \(l\) as shown in the figure \((l<<R)\) is:

1. | \(\frac{\mu_{0} l}{2} \frac{R^{2}}{l}\) | 2. | \(\frac{\mu_{0} I l^{2}}{2 R}\) |

3. | \(\frac{\mu_{0} l \pi R^{2}}{2 l}\) | 4. | \(\frac{\mu_{0} \pi R^{2} I}{l}\) |

Subtopic: Magnetic Flux |

82%

From NCERT

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The radius of a loop as shown in the figure is \(10~\text{cm}.\) If the magnetic field is uniform and has a value \(10^{-2}~ \text{T},\) then the flux through the loop will be:

1. | \(2 \pi \times 10^{-2}~\text{Wb}\) | 2. | \(3 \pi \times 10^{-4}~\text{Wb}\) |

3. | \(5 \pi \times 10^{-5}~\text{Wb}\) | 4. | \(5 \pi \times 10^{-4}~\text{Wb}\) |

Subtopic: Magnetic Flux |

77%

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What is the dimensional formula of magnetic flux?

1. \(\left[ M L^2 T^{-2}A^{-1}\right]\)

2. \(\left[ M L^1 T^{-1}A^{-2}\right]\)

3. \(\left[ M L^2 T^{-3}A^{-1}\right]\)

4. \(\left[ M L^{-2} T^{-2}A^{-2}\right]\)$$

Subtopic: Magnetic Flux |

73%

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The magnetic flux linked with a coil varies with time as \(\phi = 2t^2-6t+5,\) where \(\phi \) is in Weber and \(t\) is in seconds. The induced current is zero at:

1. | \(t=0\) | 2. | \(t= 1.5~\text{s}\) |

3. | \(t=3~\text{s}\) | 4. | \(t=5~\text{s}\) |

Subtopic: Faraday's Law & Lenz Law |

89%

From NCERT

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A coil having number of turns \(N\) and cross-sectional area \(A\) is rotated in a uniform magnetic field \(B\) with an angular velocity \(\omega\). The maximum value of the emf induced in it is:

1. \(\frac{NBA}{\omega}\)

2. \(NBAω\)

3. \(\frac{NBA}{\omega^{2}}\)

4. \(NBAω^{2}\)

Subtopic: Faraday's Law & Lenz Law |

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The current in a coil varies with time \(t\) as \(I= 3 t^{2} +2t\). If the inductance of coil be \(10\) mH, the value of induced emf at \(t=2~\text{s}\) will be:

1. \(0.14~\text{V}\)

2. \(0.12~\text{V}\)

3. \(0.11~\text{V}\)

4. \(0.13~\text{V}\)

Subtopic: Faraday's Law & Lenz Law |

87%

From NCERT

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A bar magnet is released along the vertical axis of the conducting coil. The acceleration of the bar magnet is:

1. | greater than \(g\). | 2. | less than \(g\). |

3. | equal to \(g\). | 4. | zero. |

Subtopic: Faraday's Law & Lenz Law |

86%

From NCERT

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A coil having an area \(A_0\) is placed in a magnetic field which changes from \(B_0~\text{to}~4B_0\) in time interval \(t\). The average EMF induced in the coil will be:

1. \(\frac{3 A_{0} B_{0}}{t}\)

2. \(\frac{4 A_{0} B_{0}}{t}\)

3. \(\frac{3 B_{0}}{A_{0} t}\)

4. \(\frac{4 B_{0}}{A_{0} t}\)

1. \(\frac{3 A_{0} B_{0}}{t}\)

2. \(\frac{4 A_{0} B_{0}}{t}\)

3. \(\frac{3 B_{0}}{A_{0} t}\)

4. \(\frac{4 B_{0}}{A_{0} t}\)

Subtopic: Faraday's Law & Lenz Law |

88%

From NCERT

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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:

1. | Twice per revolution | 2. | Four times per revolution |

3. | Six times per revolution | 4. | Once per revolution |

Subtopic: Faraday's Law & Lenz Law |

73%

From NCERT

AIPMT - 2013

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