Atomic StructureHard
Question
Which is the correct relationship :
Options
A.E1 of H = 1/2 E2 of He+ = 1/3 E3 of Li2+ = 1/4 E4 of Be3+
B.E1(H) = E2(He+) = E3 (Li2+) = E4(Be3+)
C.E1(H) = 2E2(He+) = 3E3 (Li2+) = 4E4(Be3+)
D.No relation
Solution
E1 (H) = - 13.6 × 
= - 13.6 eV ; E2 (He+) = - 13.6 × 
= - 13.6 eV
E3 (Li2+) = - 13.6 ×
= - 13.6 eV ; E4 (Be3+) = - 13.6 × 
= - 13.6 eV
∴ E1(H) = E2(He+) = E3 (Li2+) = E4(Be3+)
= - 13.6 eV ; E2 (He+) = - 13.6 × = - 13.6 eVE3 (Li2+) = - 13.6 ×
= - 13.6 eV ; E4 (Be3+) = - 13.6 × = - 13.6 eV∴ E1(H) = E2(He+) = E3 (Li2+) = E4(Be3+)
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