Explanation

Dimensions of Planck’s constant $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ h = Dimensions\ of\frac{E}{v}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{\left\lbrack ML^{2}T^{- 2} \right\rbrack}{\left\lbrack T^{- 1} \right\rbrack} = \left\lbrack ML^{2}T^{- 1} \right\rbrack$ Dimensions of angular momentum $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = Dimension\ of\ mvr$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack MLT^{- 1} \right\rbrack\ .\lbrack L\rbrack$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack ML^{2}T^{- 1} \right\rbrack$