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The energy of an electron in the 3rd orb...

The energy of an electron in the 3rd orbit of an atom is `-E`. The energy of an electron in the first orbit will be

A

`-3E`

B

`-E/3`

C

`-E/9`

D

`-9E`

Text Solution

Verified by Experts

The correct Answer is:
D
`E_(3)=-E=-13.6xxZ^(2)/3^(2)`
`rArr-E=E_(0)xxZ^(2)/9" "["where "E_(0)=-13.6]`
`rArrE_(0)=(-9E)/Z^(2)" "....(i)`
According to question,
`E_(1)=-13.6xxZ^(2)/1^(2)=E_(0)xxZ^(2)`
`=(-9E)/Z^(2)xxZ^(2)rArrE_(1)=-9E`.
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