• # question_answer The Bohr orbit radius for the hydrogen atom $(n=1)$ is approximately $0.530{AA}$. The radius for the first excited state $(n=2)$ orbit is               [CBSE PMT 1998; BHU 1999] A) $0.13{AA}$    B) $1.06{AA}$C) $4.77{AA}$    D) $2.12{AA}$

Correct Answer: D

Solution :

${{\text{I}}^{\text{st}}}$excited state means $n=2$                                $r={{r}_{0}}\times {{2}^{2}}$ $=0.53\times 4$ $=2.12\,\text{{ }\!\!\mathrm{AA}\!\!\text{ }}$

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