The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is \( 2.4 \times 10^{39} \). The ratio of the proportionality constant, \( K=\frac{1}{4 \pi \varepsilon_{0}} \) to the Gravitational constant G is nearly (Given that the charge of the proton and electron each \( =1.6 \times 10^{-19} \) \( C \), the mass of the electron \( =9.11 \times 10^{-31} kg \), the mass of the proton \( =1.67 \times 10^{-27} kg \) ): [NEET-2022 (Phase-2)] (1) 10 (2) \( 10^{20} \) (3) \( 10^{30} \) (4) \( 10^{40} \)

Question

The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is \( 2.4 \times 10^{39} \). The ratio of the proportionality constant, \( K=\frac{1}{4 \pi \varepsilon_{0}} \) to the Gravitational constant G is nearly (Given that the charge of the proton and electron each \( =1.6 \times 10^{-19} \) \( C \), the mass of the electron \( =9.11 \times 10^{-31} kg \), the mass of the proton \( =1.67 \times 10^{-27} kg \) ): [NEET-2022 (Phase-2)] (1) 10 (2) \( 10^{20} \) (3) \( 10^{30} \) (4) \( 10^{40} \)