The potential $V$ is varying with $x$ and $y$ as $V = \frac{1}{2}({y^2} - 4x)\,volts$ The field at $(1\,m,\,1\,m)$ is

  • A

    $2\hat i\, + \,\hat j\,\,V/m$

  • B

    $-\,2\hat i\, + \,\hat j\,\,V/m$

  • C

    $2\hat i\, - \,\hat j\,\,V/m$

  • D

    $-\,2\hat i\, + \,2\hat j\,\,V/m$

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