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An electron is injected directly towards the centre of a large metal plate having a uniform surface charge density of $$-2.0\times 10^{-6}\ \text{C/m}^2$$. The initial kinetic energy of the electron is $$1.6\times 10^{-17}$$ J. The electron is observed to stop as it just reaches the plate. Therefore, the distance between the plate and the point from where the electron was injected is
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