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Question: The radius of hydrogen atom in ground state is \(0.53\overset{o}{A}\) . What will be the radius of \...

The radius of hydrogen atom in ground state is 0.53Ao0.53\overset{o}{A} . What will be the radius of 3Li2+3Li^{2 +}in the ground state?

A

1.06Ao1.06\overset{o}{A}

B

0.265Ao0.265\overset{o}{A}

C

0.17Ao0.17\overset{o}{A}

D

0.53Ao0.53\overset{o}{A}

Answer

0.17Ao0.17\overset{o}{A}

Explanation

Solution

: Radius of nth orbit is given by rn=r0×n2Zr_{n} = \frac{r_{0} \times n^{2}}{Z}

Fro 3Li2+,r=r03=0.533=0.176Ao3Li^{2 +},r = \frac{r_{0}}{3} = \frac{0.53}{3} = 0.176\overset{o}{A}