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If an electron has an initial velocity in a direction different from that of an electric field, the path of the electron is
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a parabola
The path is a parabola, because initial velocity can be resolved into two rectangular components, one along $\overrightarrow{\mathrm{E}}$ and other $\perp$ to $\overrightarrow{\mathrm{E}}$. The former decreases at a constant rate and latter is unaffected. The resultant path is therefore a parabola.
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