A liquid drop of diameter \( 2 \, \text{mm} \) breaks into \( 512 \) droplets. The change in surface energy is \( \alpha \times 10^{-6} \, \text{J} \). The value of \( \alpha \) is ______. (Take surface tension of liquid = \( 0.08 \, \text{N/m} \))
\( 10 \)
\( 7 \)
\( 8 \)
\( 11 \)
