Which is the correct relationship-

Options

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

Answer

B

Explanation

`E_(n) = - 13.6 xx(Z^(2))/(n^(2))`
`E_(1)(H) =-13.6xx(1)/(1)=-13.6eV`
`E_(2)(He^(+))=-13.6xx(4)/(4)=-13.6eV`
`E_(3)(Li^(2+))=-13.6xx(3^(2))/(3^(2))=-13.6eV`
`E_(4)(Be^(3+))=-13.6xx(4^(2))/(4^(2))=-13.6eV`
`therefore` Ans `B`