Consider the circuit shown in the figure below :
All the resistors are identical. The charge stored in the capacitor, once it is fully charged, is

• A

  0
• B

  $\frac{5}{13} \mathrm{CV}$
• C

  $\frac{2}{3} \mathrm{CV}$
• Correct answer
  D

  $\frac{5}{8} \mathrm{CV}$

Solution

$V_{A B}=\frac{5 \frac{R}{3}}{\frac{5 R}{3}+R} \times V=\frac{5}{8} V$ $Q=\frac{5}{8} C V$

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