Physics · UNITS AND MEASUREMENT

In a new system of units, the unit of mass is \( \alpha\text{ kg} \), the unit of length is \( \beta\text{ m} \), and the unit of time is \( \gamma\text{ s} \). The numerical value of \( 1\text{ Joule} \) of energy in this new system is:

1. A
   \( \alpha^{-1}\beta^{-2}\gamma^2 \)
2. B
   \( \alpha \beta^2 \gamma^{-2} \)
3. C
   \( \alpha^{-1}\beta^{2}\gamma^{-2} \)
4. D
   \( \alpha \beta^{-2} \gamma^2 \)