Geo-Scientist Prelims 2024 General Studies Q27: At a given point in space, the electric field associated with an…

At a given point in space, the electric field associated with an electromagnetic wave is given by \(\vec{E} = (2\hat{i} - 1.5\hat{j})e^{i[k_0(3x+4y)-\omega t]}\). At the same point, which one among the following is the correct value of the unit vector (\(\hat{B}\)) of the magnetic field associated with this electromagnetic wave ?

1. (a) \(-\hat{k}\)
2. (b) \(1.5\hat{i} + 2\hat{j}\)
3. (c) \(1.5\hat{i} - 2\hat{j}\)
4. (d) \(3\hat{i} - 4\hat{j}\)