A particle of charge \( \mathrm{q} \) and mass \( \mathrm{m} \) is ...

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A particle of charge \( \mathrm{q} \) and mass \( \mathrm{m} \) is subjected to an electric field \( E=E_{0}\left(1-a x^{2}\right) \) in the \( x \)-direction, where a
\( P \) and \( E_{\text {}} \) are constants. Initially the particle was at rest at

W \( \mathrm{x}=0 \). Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is
[JEE Main-2020 (September)]
(1) \( \sqrt{\frac{3}{a}} \)
(2) \( \sqrt{\frac{2}{a}} \)
(3) \( \sqrt{\frac{1}{a}} \)
(4) \( a \)
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