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Characteristics of Bohr's Atomic Model

Find the radi...

Question

Find the radius of ${He}^{+}$ ion in its second excited state.
$($ Assume Bohr's model is applicable $)$

A

2.4 A^{\circ}

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B

1.2 A^{\circ}

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C

4.2 A^{\circ}

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D

5.3 A^{\circ}

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Solution

The correct option is A $2.4 A^{\circ}$
$r_{n} = \frac{0.53 n^{2}}{Z} A^{\circ}$
$\Rightarrow r_{3} = \frac{0.53 \times 3^{2}}{2} A^{\circ}$
$\Rightarrow r_{3} = 2.4 A^{\circ}$

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