The given ratio is

It is the ratio of electric force i.e.to gravitational force i.e.

between a proton and an electron with the distance between them as constant.

This is because

Here, G = Gravitational constant. (Unit = Nm²kg^-2 )

m_e and m_p are the mass of electron and proton respectively. (Unit = Kg)

e = Electric charge (Unit = Coulomb)

K is a constant =

is the permittivity of space. Its units are Nm² C^-2.

Let us substitute the units into the ratio in order to deduce the dimensions,

All the units get cancelled, and we see that the given ratio is dimensionless i.e. M⁰ L⁰ T⁰

Let us now calculate the value of the given ratio,

G = 6.67 × 10¹¹ Nm² Kg^-2

e = 1.6 × 10¹⁹ C

m_e = 9.1 × 10^-31 kg

m_p = 1.66 × 10^-27 kg

On substituting these values into the ratio, we get

Note:

This implies that the electric force between a proton and an electron is 10⁴⁰ times greater than the gravitational force.