In an inertial frame, uniform electric and magnetic fields \(\rm\overrightarrow{E}\) and \(\rm\overrightarrow{B}\) are perpendicular to each other and satisfy \(|\rm\overrightarrow{E}|^2−|\rm\overrightarrow{B}|^2\) = 29 (in suitable units). In another inertial frame. which moves at a constant velocity with respect to the first frame, the magnetic field is 2√5k̂. In the second frame, an electric field consistent with the previous observations is

1
\(​\frac{7}{\sqrt{2}}\)(î + ĵ)
2
7(î + k̂)
3
\(\frac{7}{\sqrt{2}}\)(î + k̂)
4
More than one of the above
5
None of the above

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