At $\mathrm{T}(\mathrm{K})$ in a saturated solution of $\mathrm{MgCO}_3$ and $\mathrm{Ag}_2 \mathrm{CO}_3$, if the concentration of $\mathrm{Mg}^{2+}$ ion is $3.2 \times 10^{-5} \mathrm{M}$, then the concentration of $\mathrm{Ag}^{+}$ion in the solution will be [Given: $\mathrm{K}_{\mathrm{sp}}\left(\mathrm{MgCO}_3\right)=1.6 \times 10^{-6}$ and $\mathrm{K}_{\mathrm{sp}}\left(\mathrm{Ag}_2 \mathrm{CO}_3\right)=8.0 \times 10^{-12}$ at $\mathrm{T}(\mathrm{K})$ ]

• A

  $\sqrt{1.3} \times 10^{-7} \mathrm{M}$
• B

  $\sqrt{1.5} \times 10^{-6} \mathrm{M}$
• C

  $\sqrt{1.6} \times 10^{-6} \mathrm{M}$
• Correct answer
  D

  $\sqrt{1.6} \times 10^{-5} \mathrm{M}$

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