A cylindrical tube that rolls down a slope with inclination $\theta$ travels a distance $L$ in a time $T$. These quantities are connected by $L\left(3 + \frac{a^{2}}{P}\right) = QT^{2}\sin \theta$. In this expression, $a$ is the tube’s internal radius, and $P$ and $Q$ are constants. Which line gives the correct units for $P$ and $Q$?
- A$P: \text{m}^{2},\; Q: \text{m}^{2}\,\text{s}^{-2}$
- B$P: \text{m}^{2},\; Q: \text{m}\,\text{s}^{-2}$
- C$P: \text{m}^{2},\; Q: \text{m}^{3}\,\text{s}^{-2}$
- D$P: \text{m}^{3},\; Q: \text{m}\,\text{s}^{-2}$