${\mathrm{F}}_{\mathrm{g}}$ and ${\mathrm{F}}_{\mathrm{e}}$ represents gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. The ratio of ${\mathrm{F}}_{\mathrm{g}}/{\mathrm{F}}_{\mathrm{e}}$ is of the order of 

Gravitational force between electrons ${\mathrm{F}}_{\mathrm{G}}=\frac{\mathrm{G}{\left({\mathrm{m}}_{\mathrm{e}}\right)}^2}{{\mathrm{r}}^2}$

Electrostatics force between electrons ${\mathrm{F}}_{\mathrm{e}}=\mathrm{k}.\frac{{\mathrm{e}}^2}{{\mathrm{r}}^2}$

$\frac{{\mathrm{F}}_{\mathrm{G}}}{{\mathrm{F}}_{\mathrm{e}}}=\frac{\mathrm{G}{\left({\mathrm{m}}_{\mathrm{e}}\right)}^2}{\mathrm{k}.{\mathrm{e}}^2}=\frac{6.67\times {10}^{-11}\times {(9.1\times {10}^{-31})}^2}{9\times {10}^9\times {(1.6\times {10}^{-19})}^2}=2.39\times {10}^{-43}$