The magnetic field, through a closed loop of conducting wire covering an area of \(100\) cm2, is \(5\times10^{-2}\) T and it is uniform and normal to the area. If the field is switched off in a time of \(10\) ms, the average emf induced is:
1. \(5\) V
2. \(0.5\) V
3. \(0.05\) V
4. \(5\times10^{-4}\) V

Subtopic:  Faraday's Law & Lenz Law |
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A straight horizontal wire \(\mathrm{AB}\) of length \(l\) falls from rest under gravity. A uniform horizontal magnetic field \(B\) acts perpendicular to the plane of motion of \(\mathrm{AB}\), as shown. The induced emf across \(\mathrm{AB}\), \(E\), is proportional to:
  
1. \(B\)
2. \(l\)
3. time, \(t\)
4. all of the above
Subtopic:  Motional emf |
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The dimensions of mutual inductance \((M)\) are:
1. \([M^2LT^{-2}A^{-2}]\)
2. \([MLT^{-2}A^{2}]\)
3. \([M^{2}L^{2}T^{-2}A^{2}]\)
4. \([ML^{2}T^{-2}A^{-2}]\)

Subtopic:  Mutual Inductance |
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NEET - 2022
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The current in an inductor of self-inductance \(4~\mathrm{H}\) changes from \(4~ \mathrm{A}\) to \(2~\mathrm{A}\) in \(1~ \mathrm s\) . The emf induced in the coil is:
1. \(-2~\mathrm V\)
2. \(2~\mathrm V\)
3. \(-4~\mathrm V\)
4. \(8~\mathrm V\)

Subtopic:  Self - Inductance |
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A big circular coil of \(1000\) turns and average radius \(10~\text{m}\)  is rotating about its horizontal diameter at \(2~\text{rad s}^{-1}\). If the vertical component of earth's magnetic field at that place is \(2\times 10^{-5}~\text{T}\) and electrical resistance of the coil is \(12.56~\Omega,\) then the maximum induced current in the coil will be:
1. \(2~\text{A}\)
2. \(0.25~\text{A}\)
3. \(1.5~\text{A}\)
4. \(1~\text{A}\)
Subtopic:  Faraday's Law & Lenz Law |
 51%
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NEET - 2022
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A square loop of side \(1\) m and resistance \(1\) \(\Omega\) is placed in a magnetic field of \(0.5\) T. If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1. \(0\) 2. \(2\) weber
3. \(0.5\) weber 4. \(1\) weber
Subtopic:  Magnetic Flux |
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An \(L\)-shaped rod \((ABC;AB=BC=a)\) moves in its own plane with a velocity \(v\) parallel to \(AB.\) There is a uniform magnetic field \(B\) acting into the plane as shown. The emf developed between \(A,C\) is:
                            
1. \(Bav\)
2. \(\sqrt2Bav\)
3. \(\frac{Bav}{2}\)
4. zero
Subtopic:  Motional emf |
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A conducting circular wire of radius \(r\) is moving with constant velocity \(v\) towards the right in a uniform magnetic field \(B.\) We consider two points \(X,Y\) such that chord \(XY\) is perpendicular to the velocity \(v\) and is at a distance \(x\) from the centre \((O)\) of the circle. The EMF induced between \(X,Y\) is \(\varepsilon.\) Then, \(\varepsilon\) is proportional to:
              
1. \(x\)
2. \(\sqrt{r^2-x^2}\)
3. \(r\)
4. \(x\sqrt{r^2-x^2}\)
Subtopic:  Motional emf |
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The self-inductance of a long solenoid of cross-section \(A,\) total length \(L\) and total number of turns \(N,\) is (approximately):
1.  \(\frac{\mu_0A}{L}\cdot N\)
2.  \(\frac{\mu_0A}{L}\cdot N^2\)
3.  \(\frac{\mu_0L^3}{A}\cdot N\)
4.  \(\frac{\mu_0L^3}{A}\cdot N^2\)
Subtopic:  Self - Inductance |
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A straight horizontal wire of mass \(m\) and length \(l,\) and having a negligible resistance can slide freely on a pair of conducting parallel rails, placed vertically. The rails are connected at the top by a capacitor \(C.\) A uniform magnetic field \(B\) exists in the region, perpendicular to the plane of the rails. The wire
           
1. falls with uniform velocity.
2. accelerates down with acceleration less than \(g\).
3. accelerates down with acceleration equal to \(g\).
4. moves down and eventually comes to rest.
Subtopic:  Motional emf |
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