Electrostatics

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet \(\mathrm{S}\) having surface charge density \(+\sigma\). The electron at \(t=0\) is at a distance of \(1 \mathrm{~m}\) from \(S\) and has a speed of \(1 \mathrm{~m} / \mathrm{s}\). The maximum value of \(\sigma\) if the electron strikes \(S\) at \(t=1 \mathrm{~s}\) is \(\alpha\left[\frac{m \epsilon_0}{e}\right] \frac{C}{m^2}\), the value of \(\alpha\) is ___________.