The number of electric lines of force originating from a charge of 1 C is

$1.129 × 10^{11}$

The correct answer is Option (3) → $1.129 × 10^{11}$

The number of electric lines of force originating from a charge $q$ is proportional to the magnitude of the charge:

$N = \frac{q}{\varepsilon_0}$

Given $q = 1 \, \text{C}$, $\varepsilon_0 = 8.854 \times 10^{-12} \, \text{C}^2/\text{N·m}^2$

$N = \frac{1}{8.854 \times 10^{-12}} \approx 1.13 \times 10^{11}$

Number of lines of force ≈ 1.13 × 10¹¹