Consider the circuit shown in the figure. The capacitors C1 and C2 have capacitances $2 \mu \mathrm{~F}$ and $8 \mu \mathrm{~F}$, respectively. The switch can connect point X to either Y or Z. Initially XY is connected until the capacitor is fully charged by the battery. Then the switch connects X and Z, and the final charges on C 1 and C 2 are $Q_1$ and $Q_2$, respectively. What is the value of the ratio $\frac{Q_2}{Q_1+Q_2}$ ?

• A

  $\frac{1}{2}$
• B

  $\frac{1}{4}$
• Correct answer
  C

  $\frac{4}{5}$
• D

  $\frac{1}{5}$

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