Consider an atom of ${L i}^{2 +}$ which is a uni-electron system and hence Bohr's model is applicable to it.
If $r_{0} =$ radius of first orbit in hydrogen atom, what is the radius of revolution of electron in second excited state in ${L i}^{2 +}$ ?

r_{0}

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2 r_{0}

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3 r_{0}

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9 r_{0}

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Solution

The correct option is C $3 r_{0}$
$2nd excited state means 3rd normal state i.e n=3$
$r_{n} = r_{0} \frac{n^{2}}{Z}$ ...........(1)
put in the equation-1 $Z = 3 (L i t h i u m), n = 3$ we get $r_{3} = 3 r_{0}$
Option C is correct.

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