Electrostatics: JEE Main 2026 Physics question

A capacitor $P$ with capacitance $10\times10^{-6}$ F is fully charged with a potential difference of $6.0$ V and disconnected from the battery. The charged capacitor $P$ is connected across another capacitor $Q$ with capacitance $20\times10^{-6}$ F. The charge on capacitor $Q$ when equilibrium is established will be $\alpha\times10^{-5}$ C (assume capacitor $Q$ does not have any charge initially), the value of $\alpha$ is ________.