An electron (mass \(9 \times 10^{-31} kg\) and charge \(1.6 \times 10^{-19} C\) ) moving with speed \(c / 100( c =\) speed of light) is injected into a magnetic field \(\vec{B}\) of magnitude \(9 \times 10^{-4} T\) perpendicular to its direction of motion. We wish to apply an uniform electric field \(\vec{E}\) together with the magnetic field so that the electron does not deflect from its path. Then (speed of light \(c =3 \times 10^8 ms^{-1}\) )

1. A \(\vec{E}\) is perpendicular to \(\vec{B}\) and its magnitude is \(27 \times 10^4 V m ^{-1}\)
2. B \(\overrightarrow{ E }\) is parallel to \(\overrightarrow{ B }\) and its magnitude is \(27 \times 10^2 V m ^{-1}\)
3. C \(\overrightarrow{ E }\) is perpendicular to \(\overrightarrow{ B }\) and its magnitude is \(27 \times 10^2 Vm ^{-1}\)
4. D \(\overrightarrow{ E }\) is parallel to \(\overrightarrow{ B }\) and its magnitude is \(27 \times 10^4 V m ^{-1}\)