Variation of electrostatic potential along $x−$direction is shown in the figure. The correct statement about electric field is(are):

A

$x−$component at point $B$ is maximum

B

$x−$component at point $A$ is towards positive $x−$axis

C

$x−$component at point $C$ is along negative $x−$axis

D

$x−$component at point $C$ is along positive $x−$axis

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Solution

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Correct option is D)

We know, $E=−dxdV .$ At $B,dV/dx=0,$ hence $E_{x}=0$ At $A,dV/dx$ is positive, hence $E_{x}$ is negative. At $C,dV/dx$ is negative, hence $E_{x}$ is positive.