An electric charge distribution produces an electric field $\vec{E}=$ $E_0 e^{-\alpha r} \vec{r} / r^3$. Here $\alpha$ is a non-zero constant. The charge $Q$ contained in a spherical region of radius $1 / \alpha$ is

• Correct answer
  A

  $4 \pi E_0 \epsilon_0(e-1) /(e \alpha)$
• B

  $4 \pi E_0 \epsilon_0(e-1) / \alpha$
• C

  $4 \pi E_0 \epsilon_0 / \alpha$
• D

  $4 \pi E_0 \epsilon_0 /(e \alpha)$

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