The ratio of gravitational force and electrostatic repulsive force between two electrons is approximately (gravitational constant = 6 . 7 × 10 - 11   Nm 2   kg - 2 , mass of an electron = 9 . 1 × 10 - 31   kg , charge on an electron = 1 . 6 × 10 - 19   C )

Step-by-step solution

Gravitational force F G = G m 1 m 2 r 2 Electrostatic force F e = 1 4 π ε 0 q 1 q 2 r 2 ∴   F G F e = G m 1 m 2 · 4 π ϵ 0 q 1 q 2 = 6 . 7 × 10 - 11 × 9 . 1 × 10 - 31 × 9 . 1 × 10 - 31 1 . 6 × 10 - 19 × 1 . 6 × 10 - 19 × 9 × 10 9 = 24 × 10 - 44