A cube is placed inside an electric field, $\overrightarrow{E}=150y^2\hat{\mathrm{j}}$ The side of the cube is $0.5 \mathrm{m}$ and is placed in the field as shown in the given figure. The charge inside the cube is:

• Correct answer
  A

  $8.3\times {10}^{-11}\mathrm{C}$
• B

  $3.8\times {10}^{-11}\mathrm{C}$
• C

  $3.8\times {10}^{-12}\mathrm{C}$
• D

  $8.3\times {10}^{-12}\mathrm{C}$

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