An alpha particle is a nucleus of doubly ionized helium. It has mass of 6.681027kg and charge of 3.21019C. Compare the force of electrostatic repulsion between the two alpha particles with the force of gravitational attraction between them.

Given,

Mass of the alpha particle = 6.681027kg
Charge of the alpha particle = 3.21019C
We have,
Electrostatic Force (Ef)=14πϵ0q1q2R2
Electrostatic Force (Ef)=9109q2R2 = 9109(3.21019)2R2 ......... (i)

Gravitational force (Gf)=GM1M2R2
Gravitational force (Gf)=6.671011(6.681027)2R2 .......... (ii)

Dividing equation (i) and (ii), we get
EfGf=9.21610282.9761063
=3.0961035
Ef=3.0961035Gf

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