$\begin{array}{1 1} \text{There cannot be a dimension less quantity. quantity of dimension $[T^{-1}]=w$} \\ \text{There cannot be a dimension less quantity. quantity of dimension $[T^{-1}]=\alpha$} \\ \text{There cannot be a dimension less quantity. quantity of dimension $[T^{-1}]=F$} \\ none\;of\; the \;above \end{array} $