Structure Of Atom Ques 11

11. The radius of hydrogen atom in the ground state is $0.53 $ $\AA$. The radius of $Li^{2+}$ ion (atomic number $=3$ ) in a similar state is

[1995]

(a) $0.17 $ $\AA$

(b) $0.265 $ $\AA$

(c) $0.53 $ $\AA$

(d) $1.06 $ $\AA$

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Answer:

Correct Answer: 11.(a)

Solution:

  1. (a) State of hydrogen atom $(n)=1$

(due to ground state)

Radius of hydrogen atom $(r)=0.53 $ $\AA$.

Atomic number of $Li(Z)=3$.

Radius of $Li^{2+}$ ion

$=r \times \frac{n^{2}}{Z}=0.53 \times \frac{(1)^{2}}{3}=0.17 $ $\AA$.