The electric potential $V$ at any point $\left(x, y, z\right)$ in space is given by $V=4x^2 \mathrm{V}$. The electric field $E$ (in $\frac{\mathrm{V}}{\mathrm{m}}$) at the point $\left(1, 0, 2\right)$ is

• A

  $+8$ in $x$ direction
• Correct answer
  B

  $8$ in $-x$ direction
• C

  $16$ in $+x$ direction
• D

  $16$ in $-x$ direction

Hence, the correct answer is option: 'B'.