Question:
Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?
Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?
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Use E_n proportional to Z^2/n^2 with Z = 6 and compare with hydrogen n = 1, Z = 1.
Updated On: Nov 4, 2026
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The Correct Option is B
Solution and Explanation
Bohr energy: \(E_n=-13.6\frac{Z^2}{n^2}\) eV. For hydrogen ground state, \(Z=1,\ n=1\): \(E=-13.6\) eV.
For carbon, \(Z=6\): \(E_n=-13.6\frac{36}{n^2}\).
Equate: \(\frac{36}{n^2}=1\), so \(n=6\).
Answer: (2) 6
For carbon, \(Z=6\): \(E_n=-13.6\frac{36}{n^2}\).
Equate: \(\frac{36}{n^2}=1\), so \(n=6\).
Answer: (2) 6
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