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Bohrs Derivations

The ratio bet...

Question

The ratio between radii of $H e^{+}$ ion and H atom is

$\frac{1}{2}$

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$\frac{3}{2}$

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Solution

The correct option is B
1

Value of Z for hydrogen = 1
Value of Z for helium = 2
Value of n for both is = 1
$r_{H} = \frac{0.5 \times 1^{2}}{1} r_{H e^{+}} = \frac{0.52 \times 1^{2}}{1}$
$\frac{r_{H}}{r_{H e^{+}}} = 1 : 1 o r r_{H e^{+}} : r_{H} = 1 : 1$

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