The radius of hydrogen atom in the ground state is 0.53 mathringA . The radius of Li 2+ ion (at. no. =3 ) in a similar state is

Question

The radius of hydrogen atom in the ground state is 0.53 mathringA . The radius of Li 2+ ion (at. no. =3 ) in a similar state is (A) 0.17 mathringA  (B) 0.53 mathringA  (C) 0.265 mathringA  (D) 1.06 mathringA

Tardigrade Admin · Accepted Answer

We know that In( H-like )=(rn( H - text atom ) × n2/Z) For ground state, n=1 ∴ rn( Li 2+) =(0.53 mathringA ×(1)2/3) ( Li , Z=3) =0.17 mathringA

Q. The radius of hydrogen atom in the ground state is $0.53 \overset{˚}{A}$ . The radius of $L i^{2 +}$ ion (at. no. $= 3$ ) in a similar state is

$0.17 \overset{˚}{A}$

$0.53 \overset{˚}{A}$

$0.265 \overset{˚}{A}$

$1.06 \overset{˚}{A}$

We know that $I_{n} (H$ -like $) = \frac{r _{n} ( H - atom ) \times n ^{2}}{Z}$
For ground state, $n = 1$
$∴ r_{n} (L i^{2 +}) = \frac{0.53 A ˚ \times ( 1 ) ^{2}}{3}$
$(L i, Z = 3) = 0.17 \overset{˚}{A}$

Q. The radius of hydrogen atom in the ground state is 0.53A˚. The radius of Li2+ ion (at. no. =3 ) in a similar state is

0.17A˚

0.53A˚

0.265A˚

1.06A˚