In the given circuit, $rms$ value of current $\left(I_{rms}\right)$ through the resistor $R$ is :

In an ac generator, a rectangular coil of $100$ turns each having area $14\times {10}^{–2} {\mathrm{m}}^2$ is rotated at $360 \mathrm{rev} {\min }^{-1}$ about an axis perpendicular to a uniform magnetic field of magnitude $3.0 \mathrm{T}$. The maximum value of the emf produced will be ______ $\mathrm{V}$.

[Take $\mathrm{\pi }=\frac{22}{7}$]

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following {Assume negligible air friction}

For the given circuit, in the steady state, $\left|V_B-V_D\right|=$ _____ $\mathrm{V}$.

Match the List-I with List-II.

Choose the correct answer from the options given below: