question_answer

Name the quantities represented by the dimensional formula\[[{{M}^{1}}{{L}^{2}}{{T}^{-1}}]\]; \[\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{\text{2}}}{{T}^{-2}} \right]\]; \[\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{-3}}{{T}^{0}} \right]\].

Answer:

                \[\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{2}}{{T}^{-1}} \right]=\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{2}}{{T}^{-2}} \right]\to \]joule-see which are the units of Planck's constant. \[\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{2}}{{T}^{-2}} \right]\] is the dimensional formula of work or energy. \[\left[ {{\text{M}}^{\text{1}}}{{\text{L}}^{-3}}{{T}^{0}} \right]\]is the dimensional formula of density.