Physics Question from JEE Main 2026 · 22 January, Shift 2

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 $\alpha \times 10^{-5}\,C$ (assume capacitor $Q$ does not have any charge initially). The value of $\alpha$ is _____.