A) \[0.27\overset{o}{\mathop{\text{A}}}\,\]
B) \[1.27\overset{o}{\mathop{\text{A}}}\,\]
C) \[2.12\overset{o}{\mathop{\text{A}}}\,\]
D) \[3.12\overset{o}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
The radius of\[{{n}^{th}}\]orbit of hydrogen atom \[{{r}_{n}}={{a}_{0}}\times {{n}^{2}}\] \[{{a}_{0}}=\] Bohrs radius \[=0.53\overset{o}{\mathop{\text{A}}}\,\] \[\therefore \] the radius for first excited state \[n=2,{{r}_{2}}={{a}_{0}}\times {{2}^{2}}\] \[{{r}_{2}}=0.53\times 4\] \[\overset{o}{\mathop{\text{A}}}\,=2.12\overset{o}{\mathop{\text{A}}}\,\]
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