An electron is circulating around the nucleus of the hydrogen atom in a circular orbit of radius 5.3×10^-11 m calculate the electric potential at this radius and electric potential energy of the atom in EV.

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Solution

For an electron revolving in a circular orbit of radius, r around a nucleus with Z positive charge,

PE = -Ze2/r

And for H atom, Z = 1

Therefore electric PE =
-[1 × (1.6 × 10^-19)^2] / [5.3 × 10^-11]
= -4.83 × 10^-28 joules

1 joule = 6.24 × 10^18 eV

So -4.83 × 10^-28 joules =
( -4.83 × 10^-28) × (6.24 × 10^18)
= -3.014 × 10 ^-10 eV

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