A particle of charge and mass is subjected to an electric field in the -direction

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Electric Potential · Electric Potential

Problem

A particle of charge qq and mass mm is subjected to an electric field E=E0(1−ax2)E = E_0 (1 - ax^2) in the xx-direction, where aa and E0E_0 are constants. Initially the particle was at rest at x=0x = 0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is : [Main Sep. 04, 2020 (II)] (1) aa (2) 2a\sqrt{\frac{2}{a}} (3) 3a\sqrt{\frac{3}{a}} (4) 1a\sqrt{\frac{1}{a}}

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