1.

Energy of an electron in a one-electron system can becalculated as E_(n) = (-2.18 xx 10^(-18) Z^(2))/(n^(2)) Which of the following correctly states the relationship between the n=2 level of He^(+) atom (Z=2) and n=2 level of Li^(2+) ion (Z=3)?

Answer»

`E_(He^(+)) = (9)/(4)E_(LI^(2+))`
`E_(He^(+)) = (4)/(9) E_(Li^(2+))`
`E_(He^(+)) = (9)/(2)E_(Li^(2+))`
`E_(He^(+)) = (2)/(9)E_(Li^(2+))`

SOLUTION :`E_(He^(+)) = (K(2)^(2))/((2)^(2)) = k`
`E_(Li^(2+)) = (K(3)^(2))/((2)^(2)) = (9)/(4)K`
`rArr E_(He^(+)) = (4)/(9) E_(Li^(2+))`


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