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The radius of the hydrogen atom in its ground state is m. After collision with an electron it is fouAtomic Structure Chemistry Question

Question

The radius of the hydrogen atom in its ground state is $5.3 \times 10^{-11}$ m. After collision with an electron it is found to have a radius of $21.2 \times 10^{-11}$ m. The principal quantum number of final state of the atom is

Answer: A

💡 Solution & Explanation

Radius of an orbit $r_n = r_1 \times n^2$. We are given $21.2 \times 10^{-11} = 5.3 \times 10^{-11} \times n^2 \implies n^2 = \frac{21.2}{5.3} = 4 \implies n = 2$. Therefore, correct answer is A.

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