1. | \(\left[M^2LT^{-2}A^{-2}\right]\) | 2. | \(\left[MLT^{-2}A^{2}\right]\) |
3. | \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\) | 4. | \(\left[ML^{2}T^{-2}A^{-2}\right]\) |
1. | \(10~\text{J}\) | 2. | \(2.5~\text{J}\) |
3. | \(20~\text{J}\) | 4. | \(5~\text{J}\) |
1. | \(5\) V | 2. | \(0.5\) V |
3. | \(0.05\) V | 4. | \(5\times10^{-4}\) V |
Assertion (A): | A small resistor (i.e., a lamp) is usually applied in parallel to the current-carrying coil of an electromagnet. |
Reason (R): | During switching off, high voltage is induced across the open switch causing sparks and damage to the insulation. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | \(B\) | 2. | \(l\) |
3. | time, \(t\) | 4. | all of the above |
1. | \(\dfrac{2\sqrt{2}\mu _{0}L^{2}}{\pi \ell}\) | 2. | \(\dfrac{\mu_{0} \ell^{2}}{2 \sqrt{2} \pi {L}} \) |
3. | \(\dfrac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi {L}} \) | 4. | \(\dfrac{\mu_{0} L^{2}}{2 \sqrt{2} \pi \ell}\) |
Assertion (A): | \(\dfrac12B\omega L.\) | The average induced electric field within the wire has a magnitude of
Reason (R): | \(\dfrac12B\omega L^2.\) | The induced electric field is the motional EMF per unit length, and the motional EMF is
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
1. | \(\sqrt2\times10^{-2}\) Wb | 2. | \(\sqrt2\times10^{-3}\) Wb |
3. | \(\dfrac{1}{\sqrt{2}}\times10^{-2}\) Wb | 4. | \(\dfrac{1}{\sqrt{2}}\times10^{-3}\) Wb |