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 |
 75%
Level 2: 60%+
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A cylindrical magnet is kept along the axis of a circular coil. On rotating the magnet about its axis, the coil will have induced in it:

1. No current
2.  A current
3.  Only an emf
4. Both an emf and a current
Subtopic:  Motional emf |
 60%
Level 2: 60%+
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The magnetic flux through a coil varies with time \(t\) as shown in the diagram. Which graph best represents the variation of the emf \(E\) induced in the coil with time \(t\)?

      

1. 2.
3. 4.
Subtopic:  Faraday's Law & Lenz Law |
 70%
Level 2: 60%+
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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 |
 50%
Level 3: 35%-60%
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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 |
 74%
Level 2: 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 |
 69%
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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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 |
 65%
Level 2: 60%+
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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 |
 79%
Level 2: 60%+
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