Q. No.A long thin wire of length \(L\) carrying a current \(i,\) is wrapped uniformly around a long solenoid of volume \(V.\) The radius of the solenoid is \(r.\) The magnetic field at its centre is:
1.
\(\dfrac{\mu_0~L~r~i}{V}\)
2.
\(\dfrac{\mu_0~L~r~i}{2\pi~V}\)
3.
\(\dfrac{\mu_0~L~r~i}{2V}\)
4.
\(\dfrac{\mu_0~L~r~i}{4\pi~V}\)
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| 1. | \(N\) | 2. | \(\dfrac 1N\) |
| 3. | \(2N\) | 4. | \(\dfrac{1}{2N}\) |
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| 1. | \(\lambda Br\) | 2. | \(\dfrac{\lambda Br}{r}\) |
| 3. | \(\dfrac{\lambda}{Br}\) | 4. | \(\dfrac{\lambda}{B^2r^2}\) |
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| 1. | \(\dfrac{q^2\phi}{2m}\) | 2. | \(\dfrac{q^2\phi}{2\pi m}\) |
| 3. | \(\dfrac{q^2\phi}{m}\) | 4. | \(\dfrac{q^2\phi}{\pi m}\) |
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Which of the following is the possible magnetic field (in tesla)?
1. \(2\hat j\)
2. \(2\hat k\)
3. \(2\hat i+2\hat k\)
4. \(2\hat j+2\hat k\)
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| 1. | \(\dfrac{5}{\sqrt3r}\) | 2. | \(\dfrac{5}{\sqrt3\pi r}\) |
| 3. | \(\dfrac{5}{r}\) | 4. | \(\dfrac{5}{\pi r}\) |
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| 1. | a resistance of \(25~\Omega\) in series |
| 2. | a resistance of \(\dfrac1{25}~\Omega\) in series |
| 3. | a resistance of \(25~\Omega\) in parallel |
| 4. | a resistance of \(\dfrac1{25}~\Omega\) in parallel |
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| 1. | \(q\Phi\) | 2. | \(\dfrac{q\Phi}{2\pi}\) |
| 3. | \(\pi q\Phi\) | 4. | \(\dfrac{q\Phi}{\pi}\) |
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1. \(0.1\) mA
2. \(0.2\) mA
3. \(1\) mA
4. \(2\) mA
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| (I) | at two adjacent vertices \(A,B\) |
| (II) | at two points \(A,C\) at the ends of a diagonal. |
| 1. | \(2\) | 2. | \(\dfrac12\) |
| 3. | \(\dfrac{1}{\sqrt2}\) | 4. | \(1\) |
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