Physics · UNITS AND MEASUREMENT

In a new system of units, the unit of mass is chosen as \( \alpha\text{ kg} \), the unit of length as \( \beta\text{ m} \), and the unit of time as \( \gamma\text{ s} \). The magnitude of a energy of \( 4.2\text{ J} \) in this new system of units will be:

1. A
   \( 4.2 \, \alpha^{-1} \beta^{-2} \gamma^2 \)
2. B
   \( 4.2 \, \alpha \beta^2 \gamma^{-2} \)
3. C
   \( 4.2 \, \alpha^{-1} \beta^2 \gamma^{-2} \)
4. D
   \( 4.2 \, \alpha \beta^{-2} \gamma^2 \)