GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

An electron (q₁) is moving in free space with velocity 10⁵ m/s towards a stationary electron (q₂) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is _________ × 10^-8 m.
[Given, mass of electron m = 9.11 × 10^-31 kg, charge of electron e = -1.6 × 10^-19 C, and permittivity ε₀ = (1/36π) × 10^-9 F/m]