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