With the decrease of current in the primary coil from \(2\) A to zero in \(0.01\) s, the emf generated in the secondary coil is \(1000~\text{V}\). The mutual inductance of the two coils is:
1. \(1.25\) H
2. \(2.50\) H
3. \(5.00\) H
4. \(10.00\) H

Subtopic:  Mutual Inductance |
 90%
Level 1: 80%+
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Two coaxial coils are very close to each other and their mutual inductance is \(5\) mH. If a current \(50\sin(500 t)\) is passed in one of the coils, then the peak value of induced emf in the secondary coil will be:
1. \(5000\) V 2. \(500\) V
3. \(150\) V 4. \(125\) V
Subtopic:  Mutual Inductance |
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Level 1: 80%+
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Two identical conductors \(P\) and \(Q\) are placed on two frictionless (conducting) rails \(R\) and \(S\) in a uniform magnetic field directed into the plane. If \(P\) is moved in the direction as shown in the figure with a constant speed, then rod \(Q\):

              

1. will be attracted toward \(P\).
2. will be repelled away from \(P\).
3. will remain stationary.
4. maybe repelled or attracted towards \(P\).
Subtopic:  Motional emf |
Level 3: 35%-60%
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The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field \(B\) decreasing with time.
         
The direction of the induced current \(I\) in the figure is:
1.  From \(a\) to \(b\) and from \(c\) to \(d\)
2. From \(a\) to \(b\) and from \(f\) to \(e\)
3.  From \(b\) to \(a\) and from \(d\) to \(c\)
4. From \(b\) to \(a\) and from \(e\) to \(f\)
Subtopic:  Faraday's Law & Lenz Law |
 69%
Level 2: 60%+
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A long solenoid has self-inductance \(L\). If its length is doubled keeping total number of turns constant, then its new self-inductance will be:
1. \(\frac{L}{2}\)
2. \(2L\)
3. \(L\)
4. \(\frac{L}{4}\)

Subtopic:  Self - Inductance |
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Level 2: 60%+
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An inductor is connected to a direct voltage source through a switch. Then:

1. a very large emf is induced in inductor when the switch is closed.
2. a large emf is induced when the switch is opened.
3. a large emf is induced whether the switch is closed or opened.
4. no emf is induced whether the switch is closed or opened.
Subtopic:  LR circuit |
Level 3: 35%-60%
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The magnetic energy stored in a long solenoid of an area of cross-section \(A\) in a small region of length \(L\) is:
1. \(\dfrac{B^{2} AL}{2\mu_{0}^{2}}\) 2. \(\dfrac{AL}{2 \mu_{0}}\)
3. \(\dfrac{1}{2} \mu_{0} B^{2} AL\) 4. \(\dfrac{B^{2} AL}{2 \mu_{0}}\)
Subtopic:  Self - Inductance |
 70%
Level 2: 60%+
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Eddy currents are induced when:
1. A metal block is kept in a changing magnetic field.
2. A metal block is kept in a uniform magnetic field.
3. A coil is kept in a uniform magnetic field.
4. Current is passed in a coil.
Subtopic:  Eddy Current |
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Level 1: 80%+
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When a conducting wire \(XY\) is moved towards the right, a current flows in the anti-clockwise direction. Direction of magnetic field at point \(O\) is:

1.  parallel to the motion of wire.
2.  along with \(XY\).
3.  perpendicular outside the paper.
4.  perpendicular inside the paper.
Subtopic:  Motional emf |
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A bar magnet is made to fall through a long surface copper tube. The speed \((v)\) of the magnet as a function of time \((t)\) is best represented by:

       
1. \(a\)
2. \(b\)
3. \(c\)
4. \(d\)

Subtopic:  Faraday's Law & Lenz Law |
 51%
Level 3: 35%-60%
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