Question

Which energy level in li^(2+) has same energy as the fourth energy level of h atom

Answer 1

Heya,

In a Bohr atom , energy level is directly proportional to ${ (\frac{z}{n}) }^{2}$

A/Q, Energy of nth level of Li (z= 3) = 4th level of H

${( \frac{3}{n} )}^{2} = { \frac{1}{4} }^{2} \\ \\ = > \frac{9}{ {n}^{2} } = \frac{1}{16} \\ \\ = > {n}^{2} = 144 \\ \\ = > n = \sqrt{144} \\ \\ = > n = 12$

Hence, n = 12 Ans.