Find the ratio of the electric and gravitational forces between two protons.

Given:


Mass of proton,


Charge on proton,


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Formula used:


By Coulomb’s law, the electric force is given by:



Where ϵ0 is the permittivity of free space


k is the electrostatic constant


q1 and q2 are the magnitude of charges


r is the distance of separation between the charges


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Formula used:


By Newton’s law of gravitation, the gravitational force is given by:



Where G is the Gravitational constant


m1 and m2 are the magnitude of charges


r is the distance of separation between the masses


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The electric force is given by:



The gravitational force is given by:



Dividing (2) by (1), we get





Hence the ratio of electric force to gravitational force between two protons is about 1.23 × 1036.


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