Combination of Capacitors question from NEET 2024

Answer: (a)

1. This is a Wheatstone bridge with all arms $2\ \mu\text{F}$: $\frac{2}{2} = \frac{2}{2}$, so it is balanced and the middle capacitor carries no charge.
2. Each path: two $2\ \mu\text{F}$ in series $= 1\ \mu\text{F}$.
3. Two paths in parallel: $C_{AB} = 2\ \mu\text{F}$.
4. So the answer is (a) 2 $\mu$F.