the ratio of electrostatic force FE to gravitational force FG between two protons each of charge e and mass m, at a distance d is
Answer Details
The electrostatic force between two protons is given by Coulomb's law, FE = (1/4πε0) (e2/d2), where ε0 is the permittivity of free space, e is the charge on each proton and d is the distance between them. The gravitational force between the two protons is given by the law of gravitation, FG = Gm2/d2, where G is the universal gravitational constant and m is the mass of each proton. Thus, the ratio of electrostatic force to gravitational force between the two protons is (FE/FG) = [(1/4πε0) (e2/d2)]/[Gm2/d2]. Simplifying this expression, we get e2 / (4πε0Gm2). Therefore, the correct option is e2/4πԐoeGm2.