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

\(E = h v\), where \(h\) is the Planck constant, is a known equation.
\(h\) has a dimension of \(\frac{E }{ v}\) =\(\frac{ [ M L^2 T^{-2} ]}{[ T ^{-1} ]}\) = \([ M L^2 T^{-1 }]\)
The moment of inertia's dimension is \([ M L^2 ]\).
The ratio is \(\frac{ [ M L^2 T^{-1} ]}{[M L^2 ]} = [T^{-1}]\)
dimension of Frequency = \([T^{-1}]\)

Therefore, the correct option is (A): frequency.