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
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(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:
- (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 $ $\AA$.