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Question: If the radius of the first Bohr orbit of the H atom is r then for the Li<sup>2+</sup> ion it will be...

If the radius of the first Bohr orbit of the H atom is r then for the Li2+ ion it will be –

A

3r

B

9r

C

r/3

D

r/9

Answer

r/3

Explanation

Solution

Q = r µ n2Z\frac{n^{2}}{Z} \ rHrLi2+\frac{r_{H}}{r_{Li^{2 +}}} = ZLiZH\frac{Z_{Li}}{Z_{H}}

̃ rLi2+r_{Li^{2 +}} = rH × ZHZLi\frac{Z_{H}}{Z_{Li}} = r3\frac{r}{3}