$\mathrm{h}=\frac{\mathrm{E}}{\mathrm{\nu }}=\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-2}}{{\mathrm{T}}^{-1}}={\text{ ML}}^{\text{2}}{\text{T}}^{–\text{1}}$

c = LT^–1

 ^{$\text{G }=\frac{{\mathrm{Fr}}^2}{{\mathrm{m}}_1{\mathrm{m}}_2}=\frac{{\mathrm{ML}}^3{\mathrm{T}}^{-2}}{{\mathrm{M}}^2}={\mathrm{M}}^{-1}{\mathrm{L}}^3{\mathrm{T}}^{-2}$}

hc = ML³T^–2        ; G = M^–1L³T^–2

 ^{$\Rightarrow \frac{\mathrm{hc}}{\mathrm{G}}\mathrm{ }={\text{ M}}^{\text{2}}\mathrm{ }\Rightarrow \text{M }=\sqrt{\frac{\mathrm{hc}}{\mathrm{G}}}$}

$\frac{\mathrm{h}}{\mathrm{c}}=\text{ ML}$                      So, $\text{L }=\frac{\mathrm{h}}{\mathrm{c}}\sqrt{\frac{\mathrm{G}}{\mathrm{hc}}}=\sqrt{\frac{\mathrm{Gh}}{{\mathrm{c}}^3}}$

 $\mathrm{{\rm M}}\propto \sqrt{\mathrm{c}}$

 $\text{L\hspace{0.05em}}\propto \sqrt{\mathrm{h}}$

 $\text{L\hspace{0.17em}}\propto \sqrt{\mathrm{G}}$