Find the ratio of the magnitude of the electric force to the gravitational force acting between two protons.
Coulomb’s force of repulsion between two protons is given by –
Where,
q1 and q2 = are the charges
k = proportionality constant = 9×109
r= distance between the charges
Now, gravitational force,
Where,
G = universal gravitation constant =
m1 =mass of first object
m2 = mass of second object
r = distance between the objects
Now, we know that-
Charge of the proton, q = 1.6×10-19 C
Mass of the proton = 1.67×10-27 kg
Let r be the distance between two protons
Coulomb force of repulsion between the two protons is given by –
fe=14π∈0×q2r2=9×109× (1.6)2×10-38r2
Gravitational force between the protons is given by –
Dividing the equations -