Thus the angular momentum (L) has the same dimensions as that of Planck's constant (h)
\((B)\): Impulse \(I =\Delta P\)
Thus impulse \((I)\) has the same dimensions as that of linear momentum \((P)\)
\((C)\): Using \(\tau=I \alpha \quad \Rightarrow I=\frac{\tau}{\alpha}\)
where angular acceleration is not dimensionless.
Thus the dimensions of moment of inertia are different from those of
moment of force
(OR torque)
\((D):\) Dimension of energy \(E =\left[ ML ^2 T ^{-2}\right]\)
Dimension of torque \(\tau= Fr =\left[ ML ^2 T ^{-2}\right]\)
Hence, torqua and energy have same dimensions.