c
\(E =\frac{1}{2} L i ^{2} \Rightarrow L =\frac{2 E }{ i ^{2}}\)

dimension of \(L=\frac{M L T^{-2}}{Q^{2}} \cdot T^{2}=M L T^{0} Q^{-2}\)

\(E = i ^{2} R T \Rightarrow R =\frac{ E }{ i ^{2} t }\)

dimension of \(R =\frac{ M L T ^{-2}}{ Q ^{2}} \cdot T ^{-1}= M L T ^{-1} Q ^{-2}\)

\(\left(\frac{L}{R}\right)=\frac{M L T^{0} Q^{-2}}{M L T^{-1} Q^{-2}}=[T]\)