In a region of space

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

In a region of space, the electric field varies with position according to

E(x) = kx^{2}

and points in the

+x

direction, where

k = 5.0\times10^{2}\,\text{N/C}\!\cdot\!\text{m}^{-2}

. At what

x

-coordinate should a particle carrying a charge of

-2.0\,\mu\text{C}

be placed so that it experiences a force of

6.0\times10^{-4}\,\text{N}

directed toward the

-x

direction? (a)

6.0\times10^{-1}\,\text{m}

(b)

1.3\,\text{m}

(c)

7.8\times10^{-1}\,\text{m}

(d)

2.4\times10^{-1}\,\text{m}