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Q.

Which hydrogen like species will species will have same radius as that of Bohr orbit of hydrogen in one second

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a

$n = 2, L i^{2 +}$

b

$N = 3, L i^{2 +}$

c

$n = 2, B e^{3 +}$

d

$n = 2, H e^{+}$

answer is B.

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Detailed Solution

Radius of orbit (r) $= \frac{n^{2} h^{2}}{4 π^{2} m e^{2}} \times \frac{1}{Z}$

$= \frac{0.529}{Z} n^{2} Å$

For H atom, $H = \frac{0.528 n^{2}}{1} Å$

$r B e^{3 +} = 0.529 n^{2} 4 / Å a n d r_{n} = r B e^{3 +}$

$∴ n = 2$

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