A particle of charge q and mass m is subjected to an electric field E = E0 (1 – $a$x2) in the x-direction, where $a$ and E0 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 :

Question

A particle of charge q and mass m is subjected to an electric field
E = E₀ (1 – $a$x²) in the x-direction, where $a$ and E₀ 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 {{2 \over a}} $

$\sqrt {{3 \over a}} $

$\sqrt {{1 \over a}} $

Solution

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