In the formula $\mathrm{X}=5\mathrm{Y}{\mathrm{Z}}^2$ , $\mathrm{X}$ and $\mathrm{Z}$ have dimensions of capacitance and magnetic field, respectively. What are the dimensions of $\mathrm{Y}$ in SI units?

• A

  $\left[{\mathrm{M}}^{-1}{\mathrm{ }\mathrm{L}}^{-2}{\mathrm{ }\mathrm{T}}^{4\mathrm{ }}{\mathrm{A}}^2\right]$
• B

  $\left[{\mathrm{M}}^{-2}\mathrm{ }{\mathrm{L}}^0{\mathrm{ }\mathrm{T}}^{-4}{\mathrm{ }\mathrm{A}}^{-2}\right]$
• C

  $\left[{\mathrm{M}}^{-2}{\mathrm{ }\mathrm{L}}^{-2}{\mathrm{ }\mathrm{T}}^6{\mathrm{ }\mathrm{A}}^3\right]$
• Correct answer
  D

  $\left[{\mathrm{M}}^{-3}{\mathrm{ }\mathrm{L}}^{-2}{\mathrm{ }\mathrm{T}}^8{\mathrm{ }\mathrm{A}}^4\right]$

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