A cylindrical tube rolling down a slope with inclination $\theta$ travels a distance $L$ in time $T$. The relationship between these quantities is $L \left( 3 + \frac{a^2}{P} \right) = Q T^2 \sin \theta$ where $a$ represents the internal radius of the tube and $P$ and $Q$ are constants. Which row 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$P$: $\text{m}^3$, $Q$: $\text{m}\,\text{s}^{-2}$