JEE MAIN - Physics (2021 - 17th March Morning Shift - No. 18)
Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?
8
6
1
4
Explanation
$${E_n} = - 13.6{{{Z^2}} \over {{n^2}}}$$
Enth of Carbon = E1st of Hydrogen
$$ \Rightarrow $$ $$ - 13.6 \times {{{6^2}} \over {{n^2}}} = - 13.6 \times {{{1^2}} \over {{1^2}}}$$
$$ \Rightarrow $$ n = 6
Enth of Carbon = E1st of Hydrogen
$$ \Rightarrow $$ $$ - 13.6 \times {{{6^2}} \over {{n^2}}} = - 13.6 \times {{{1^2}} \over {{1^2}}}$$
$$ \Rightarrow $$ n = 6
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