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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

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a

$\frac{9}{4} X$

b

$\frac{16}{27} X$

c

$\frac{27}{16} X$

d

$\frac{4}{9} X$

answer is C.

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Detailed Solution

$r_{n} = \frac{0.53 \times n^{2}}{Z} A^{0}$

$r_{2} o f L i^{2 +} = \frac{0.53 \times 2^{2}}{3} A^{0}$

$\frac{0.53 \times 4}{3} A^{0} = X$

$r_{3} o f B e^{3 +} = \frac{0.53 \times 9}{4}$

$= \frac{27}{16} X$

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The radius of the 2nd orbit of Li2+ is X, the expected radius of the 3rd orbit of Be3+ is