- 1(current)
Q. No.1. \(\large\frac{B\omega L^2}{8}\)
2. \(\large\frac{B\omega L^2}{2}\)
3. \(\large\frac{B\omega L^2}{4}\)
4. zero
1. \(3.14\) V
2. \(31.4\) V
3. \(62.8\) V
4. \(6.28\) V
A wheel with \(20\) metallic spokes, each \(1\) m long, is rotated with a speed of \(120\) rpm in a plane perpendicular to a magnetic field of \(0.4~\text{G}\). The induced emf between the axle and rim of the wheel will be:
\((1~\text{G}=10^{-4}~\text{T})\)
1. \(2.51 \times10^{-4}\) V
2. \(2.51 \times10^{-5}\) V
3. \(4.0 \times10^{-5}\) V
4. \(2.51\) V
A cycle wheel of radius \(0.5\) m is rotated with a constant angular velocity of \(10\) rad/s in a region of a magnetic field of \(0.1\) T which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is:
| 1. | \(0.25\) V | 2. | \(0.125\) V |
| 3. | \(0.5\) V | 4. | zero |
A conducting square frame of side \(a\) and a long straight wire carrying current \(I\) are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity \(v.\) The emf induced in the frame will be proportional to:
1. \( \frac{1}{x^2} \)
2. \( \frac{1}{(2 x-a)^2} \)
3. \( \frac{1}{(2 x+a)^2} \)
4. \(\frac{1}{(2 x-a)(2 x+a)}\)
A thin semicircular conducting the ring \((PQR)\) of radius \(r\) is falling with its plane vertical in a horizontal magnetic field \(B,\) as shown in the figure. The potential difference developed across the ring when it moves with speed \(v\) is:
| 1. | zero |
| 2. | \(Bv\pi r^{2}/2\) and \(P\) is at a higher potential |
| 3. | \(\pi rvB\) and \(R\) is at a higher potential |
| 4. | \(2BvR\) and \(R\) is at higher potential |
| 1. | the rectangular, circular, and elliptical loops. |
| 2. | the circular and the elliptical loops. |
| 3. | only the elliptical loop. |
| 4. | any of the four loops. |
1. \(\propto \Delta t\)
2. \(\propto \frac{1}{\Delta t}\)
3. \(\propto (\Delta t)^0\)
4. \(\propto (\Delta t)^{2}\)
- 1(current)
Q. No.
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