If {E}, {L}, {m} and {G} denote the quantitie | vedclass

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Question

${E}={ML}^{2} {T}^{-2}$

${L}={ML}^{2} {T}^{-1}$

${m}={M}$

${G}={M}^{-1} {L}^{+3} {T}^{-2}$

${P}=\frac{{EL}^{2}}{{M}^{5} {G}^{2}}$

${[{P

Vedclass · Accepted Answer

$\left[{M}^{0} {L}^{0} {T}^{0}\right]$

Vedclass · Answer

${E}={ML}^{2} {T}^{-2}$

${L}={ML}^{2} {T}^{-1}$

${m}={M}$

${G}={M}^{-1} {L}^{+3} {T}^{-2}$

${P}=\frac{{EL}^{2}}{{M}^{5} {G}^{2}}$

${[{P}]=\frac{\left({ML}^{2} {T}^{-2}\right)\left({M}^{2} {L}^{4} {T}^{-2}\right)}{{M}^{5}\left({M}^{-2} {L}^{6} {T}^{-4}\right)}={M}^{0} {L}^{0} {T}^{0}}$

If ${E}, {L}, {m}$ and ${G}$ denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of ${P}$ in the formula ${P}={EL}^{2} {m}^{-5} {G}^{-2}$ are

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