Question

The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of

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

Answer 1

The correct option is D

frequency

$\frac{nh}{2\pi }=L=mvr$

Dimensions of h = dimensions of L

$\frac{h}{I}=\frac{mvr}{m{r}^2}=\frac{v}{r}=\omega \to f$

Thus the ratio has the dimension of frequency.