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Calculate the electric potential energy ...

Calculate the electric potential energy of electron-proton system of hydrogen atom. The radius of the electron orbit `r= 0.53xx10^-10m`, Electron charge `e= 1.6xx 10^-19C`

Text Solution

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`r= 5.92xx10^-10m, e= 1.6xx1.^-19C`
The electric potential energy of electron-proton system
`U= 1/(4piepsilon_0)(q_1q_2)/r`
`= (-(1.6xx10^-19)(1.6xx10^-19)xx9xx10^9)/(5.29xx10^-11)`joule
`= (-(1.6xx10^-19)^2xx9xx10^9)/(5.29xx10^-11xx1.6xx10^-19)eV`
`(1eV= 1..6xx10^-19J)`
= 27.22 eV
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