Question

Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is 9/x x 10^-10 m. The value of the x is _____.

(1eV = 1.6 x 10^-19J, 1/4π∈₀ = 9 x 109 NM² / C² and electronic charge = 1.6 x 10^-19JC) 

Answer 1

Correct answer is 16

Binding energy of system = \(\frac{Ke^2}{2r}\) joule and \(\frac{Ke^2}{2r}\) = 12.8 ev