a
\(E\,\, = \,{G^p}{h^q}{C^r}\,\)

\(\left[ {{M^1}{L^2}{T^{ - 2}}} \right]\,\, = \,\,{\left[ {{M^{ - 1}}{L^3}{T^{ - 2}}} \right]^p}{\left[ {{M^1}{L^2}{T^{ - 1}}} \right]^q}\,\,{\left[ {{L^1}{T^{ - 1}}} \right]^r}\)

\(m\) નો પાવર \( \Rightarrow \,\,1\, =  - p\,\, + \;\;q\,\, + \;\,0\,\,\,........\left( i \right)\)

\(L\) નો પાવર \(\, \Rightarrow \,\,2\,\, = \,\,3p\,\, + \,\,2q\,\, + \,\,r\,\,...........\left( {ii} \right)\)

\(T\) નો પાવર  \( \Rightarrow  - 2\,\, =  - 2P\,\, - \,\,q\,\, - \,\,r\,\,\,\,.............\left( {iii} \right)\)

આ સમીકરણ ને ઉકેલવા \(\,\,p\,\, = \,\, - \frac{1}{2},\,\,q\,\, = \,\,\frac{1}{2}\,\,r\,\, = \,\,\frac{5}{2}\)