The size of Rutherford\'s atom is about 0.1 nm. (a) Calculate the attractive ele

Question

The size of Rutherford's atom is about 0.1 nm. (a) Calculate the attractive electrostatic force between an electron and a proton at that distance. (b) Calculate the electrostatic potential energy of that atom. Express the result in unit eV. (c) The size of Rutherford's atomic nucleus is about 1 fm. Calculate the repulsive electrostatic force between two protons at that distance. (d) Calculate the electrostatic potential energy of a pair of protons in such a nucleus. Express the result in unit MeV.

Explanation / Answer

part a )

F = kq1q2/r^2

|q1| = |q2| = q = 1.6 x 10^-19 C

r = 0.1 nm = 1x 10^-10 m

F = 2.304 x 10^-8 N

part b )

U = F*r

U = 2.304 x 10^-18 J

U = 14.4 eV

part c )

F = kq^2/r^2

r = 1fm = 10^-15m

F = 230.4 N

part d )

U = F.r

U = 2.304 x 10^-13 J

U = 1.44 Mev

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