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Question

Question: Which is the correct relationship...

Which is the correct relationship

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

Answer

E1(H) = E2(He+) = E3 (Li2+) = E4(Be3+)

Explanation

Solution

E3 (Li2+) = - 13.6 × 3232 = - 13.6 eV;E_{3}\ (\text{L}\text{i}^{\text{2+}})\text{ = - 13.6 }\text{×}\text{ }\frac{3^{2}}{3^{2}}\text{ = - 13.6 eV;} E4 (Be3+) = - 13.6 × 4242 = - 13.6 eVE_{4}\ (\text{B}\text{e}^{\text{3+}})\text{ = - 13.6 }\text{×}\text{ }\frac{4^{2}}{4^{2}}\text{ = - 13.6 eV}

}{= E_{3}\left( Li^{2 +} \right) = E_{4}\left( Be^{3 +} \right)}$$