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Which is the correct relationship? (a). ...

Which is the correct relationship?
(a). `E_(1)` of `H=1//2E_(2)` of `He^(+)=1//3E_(3)`of `Li^(2+)=1//4E_(4)`of `Be^(3+)`
(b). `E_(1)(H)=E_(2)(He^(+))=E_(3)(Li^(2+))=E_(4)(Be^(3+))`
(c). `E_(1)(H)=2E_(2)(He^(+))=3E_(3)(Li^(2+))=4E_(4)(Be^(3+))`
(d). No relation

A

`E_(1) "of" H=1//2 E_(2) "of" He^(+)=1//3 E_(3) "of" Li^(2+)1//4 E_(4) "of" Be^(3+)`

B

`E_(1)(H)=E_(2)(He^(+))=E_(3)(Li^(2+))=E_(4)(Be^(3+))`

C

`E_(1)(H)=2E_(2)(He^(+))=3E_(3)(Li^(2+))=4E_(4)(Be^(3+))`

D

No relation

Text Solution

Verified by Experts

The correct Answer is:
B

`E_(1)(H)=-13.6xx1^(2)/1^(2)=-13.6 eV" " , " "E_(2)(He^(+))=-13.6xx2^(2)/2^(2)=-13.6 eV`
`E_(3)(Li^(2+))=-13.6xx3^(2)/3^(2)=-13.6 eV " " , " " E_(4)(Be^(3+))=-13.6xx4^(2)/4^(2)=-13.6 eV`
`:. E_(1)(H)=E_(2)(He^(+))=E_(3)(Li^(2+))=E_(4)(Be^(3+))`
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