Electric potential $V$ at some point in space is zero. Then at that point :

Electric intensity is necessarily zero.

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Electric intensity is necessarily non zero.

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Electric intensity may or may not be zero.

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Electric intensity is necessarily infinite.

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Solution

The correct option is C Electric intensity may or may not be zero.
$E = - \frac{d V}{d l}$
where $E =$ Electric field intensity ; $V =$ Electric Potential ; $l =$ distance traveled in direction of electric field
Electric intensity at a point is the negative of rate of change of the electric potential at a point. So if a function is zero at a given point, the slope will not necessarily be zero.

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Electric potential V at some point in space is zero. Then at that point :

Electric potential $V$ at some point in space is zero. Then at that point :