In hydrogen atoms, the radius of the smallest | vedclass

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(D) Concept: Bohr orbit radius.In Bohr's model, the radius of the $n^{th}$ orbit is given by the formula:$r_n = a_0 \cdot \frac{n^2}{Z}$For a hydrogen

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$9 a_0$

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(D) Concept: Bohr orbit radius.In Bohr's model, the radius of the $n^{th}$ orbit is given by the formula:$r_n = a_0 \cdot \frac{n^2}{Z}$For a hydrogen atom, the atomic number $Z = 1$.Therefore, the radius of the $n^{th}$ orbit is $r_n = a_0 n^2$.For the smallest orbit (ground state), $n = 1$, so $r_1 = a_0 (1)^2 = a_0$.For the third orbit, $n = 3$, so the radius is:$r_3 = a_0 (3)^2 = 9 a_0$.Thus, the correct option is $D$.

In hydrogen atoms, the radius of the smallest orbit of the electron is $a_0$. The radius of the third orbit is:

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