The radius of the 2 text nd orbit of Li 2+ is x. The expected radius of the 3 text rd orbit of Be 3+ is

Question

The radius of the 2 text nd orbit of Li 2+ is x. The expected radius of the 3 text rd orbit of Be 3+ is (A) (16/27) π (B) (4/9) x (C) (9/4) x (D) (27/16) x

Tardigrade Admin · Accepted Answer

Li 2+ r2= x = k × (22/3)=(4 k /2) Be 3+ r 3= y = k × (32/4) (y/x)=(9/4) × (3/4)=(27/16) y=(27/16) x

Q. The radius of the $2^{nd}$ orbit of $L i^{2 +}$ is $x$ . The expected radius of the $3^{rd}$ orbit of $B e^{3 +}$ is

$\frac{16}{27} π$

$\frac{4}{9} x$

$\frac{9}{4} x$

$\frac{27}{16} x$

$L i^{2 +}$
$r_{2} = x = k \times \frac{2 ^{2}}{3} = \frac{4 k}{2}$
$B e^{3 +}$
$r_{3} = y = k \times \frac{3 ^{2}}{4}$
$\frac{y}{x} = \frac{9}{4} \times \frac{3}{4} = \frac{27}{16}$
$y = \frac{27}{16} x$

Q. The radius of the 2nd orbit of Li2+ is x. The expected radius of the 3rd orbit of Be3+ is

2716​π

94​x

49​x

1627​x