An inductor coil of self-inductance \(10~\text{H}\) carries a current of \(1~\text{A}\). The magnetic field energy stored in the coil is:
1. \(10~\text{J}\)
2. \(2.5~\text{J}\)
3. \(20~\text{J}\)
4. \(5~\text{J}\)

The dimensions of mutual inductance \((M)\) are:
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. \(\left[ML^{2}T^{-2}A^{-2}\right]\)

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

Kamla peddles a stationary bicycle. The pedals of the bicycle are attached to a \(100\) turn coil of an area of \(0.10~\text{m}^2\). The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of \(0.01~\text{T}\) perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?
1. \(0.628~\text{V}\)
2. \(0.421~\text{V}\)
3. \(0.314~\text{V}\)
4. \(0\) 

The ratio of magnetic energy per unit volume and electrostatic energy stored per unit volume in a parallel plate capacitor is:
1. \(\left(\dfrac{1}{\varepsilon_0 \mu_0}\right)\dfrac{B^2}{E}\)

2. \(\left(\dfrac{1}{\varepsilon_0 \mu_0}\right)\dfrac{E^2}{B}\)

3. \(\left(\dfrac{1}{2\varepsilon_0 \mu_0}\right)\dfrac{B^2}{E}\)

4. \(\left(\dfrac{1}{2\varepsilon_0 \mu_0}\right)\dfrac{E^2}{B}\)$\mathrm{}$