QJEEM21Ph8492: JEE Main 2021 Physics - Class 12 JEEM21Ph8492 Solution: Which level of the single ionized carbon has the same energy as …

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Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

Accepted Answer

E_{n} = - 13.6 \frac{Z^{2}}{n^{2}}

E_n^th of Carbon = E_1^st of Hydrogen

\Rightarrow

- 13.6 \times \frac{6^{2}}{n^{2}} = - 13.6 \times \frac{1^{2}}{1^{2}}

\Rightarrow

n = 6

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