A particle of charge \( \mathrm{q} \) and mass \( m \) is subjected to an electric field \( E=E_... VIDEO
A particle of charge \( \mathrm{q} \) and mass \( m \) is subjected to an electric field \( E=E_{0}\left(1-a x^{2}\right) \) in the \( x \)-direction, where a and \( E_{0} \) are constants. Initially the particle was at rest at \( x=0 \). Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is
(a) \( \sqrt{\frac{3}{a}} \)
(b) \( \sqrt{\frac{2}{a}} \)
(c) \( \sqrt{\frac{1}{a}} \)
(d) \( a \)
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