Easy MCQ +4 / -1 PYQ · JEE Mains 2021

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

  1. A 8
  2. B 6 Correct answer
  3. C 1
  4. D 4

Solution

${E_n} = - 13.6{{{Z^2}} \over {{n^2}}}$<br><br>E<sub>n<sup>th</sup></sub> of Carbon = E<sub>1<sup>st</sup></sub> of Hydrogen<br><br>$\Rightarrow$ $- 13.6 \times {{{6^2}} \over {{n^2}}} = - 13.6 \times {{{1^2}} \over {{1^2}}}$<br><br>$\Rightarrow$ n = 6

About this question

Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom

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