List of top Physics Questions on Electromagnetism asked in JEE Advanced

In a vacuum chamber, a particle of charge \(1\,\mu\text{C}\) and mass \(1\,\text{mg}\) is projected with a velocity \((\hat{i}+2\hat{j})\,\text{ms}^{-1}\) from the \(XZ\)-plane at time \(t=0\) in an electric field of \(1\hat{i}\,\text{Vm}^{-1}\). At \(t=0.2\,\text{s}\), the electric field is switched off and a magnetic field of \(6\hat{j}\,\text{T}\) is switched on. The acceleration due to gravity is \(-10\hat{j}\,\text{ms}^{-2}\). Correct option(s) is/are:
A conducting solid sphere of radius $ R $ and mass $ M $ carries a charge $ Q $. The sphere is rotating about an axis passing through its center with a uniform angular speed $\omega$. The ratio of the magnitudes of the magnetic dipole moment to the angular momentum about the same axis is given as $\alpha \frac{Q}{2M}$. The value of $\alpha$ is ___
A conducting solid sphere of radius $ R $ and mass $ M $ carries a charge $ Q $. The sphere is rotating about an axis passing through its center with a uniform angular speed $\omega$. The ratio of the magnitudes of the magnetic dipole moment to the angular momentum about the same axis is given as $\alpha \frac{Q}{2M}$. The value of $\alpha$ is ___