Question

The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of

• A. frequency
• B. velocity
• C. angular momentum
• D. time

Answer 1

The correct option is A frequency

$E=h\nu$ or $\left[h\right]=\left[\frac{E}{\nu }\right]$
$\left[I\right]=\left[M{R}^2\right]$
Thus, $\frac{\left[h\right]}{\left[I\right]}=\frac{M{L}^2{T}^{-2}}{T^{-1}M{L}^2}=T^{-1}$, which is the dimension of frequency.