Question

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

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

Answer 1

The correct option is B frequency

We know that
$E=h\nu$
where h is the planck's constant.
The dimension of h is Dimension of $E/\nu$
$=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[T^{-1}\right]}=\left[M{L}^2{T}^{-1}\right]$
The dimension of moment of inertia is
$=\left[M{L}^2\right]$
The ratio
$=\frac{\left[M{L}^2{T}^{-1}\right]}{\left[M{L}^2\right]}$
$=T^{-1}$