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If 13.6eV energy is required to separate...

If `13.6eV` energy is required to separate a hydrogen atom into a proton and an electron, then the orbital radius of electron in a hydrogen atom is

A

`5.3xx10^(-11)m`

B

`5.3xx10^(-12)m`

C

`7.6xx10^(-13)m`

D

`7.6xx10^(-14)m`

Text Solution

Verified by Experts

The correct Answer is:
A
Total energy of electron in hydrogen atom,
`E=-13.6eV=-13.6xx1.6xx10^(-19)J`
`=(-e^2)/(8piepsilon_0 r) therefore r=(e^2)/(8pi epsilon_0 E)`.
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