Question

The radius of $n^{th}$ orbit $r_n$ in terms of Bohr radius $(a_0)$ for a hydrogen atom is given by the relation

• A. $na_0$
• B. $\sqrt{n}a_0$
• C. $n^2 a_0$
• D. $n^3 a_0$

Answer 1

Answer: (C)

$n^2 a_0$

Answer 2

The radius of $n^{th}$ orbit $r_n = n^2 \frac{h 4\pi \varepsilon_{0}}{me^2}$ where $\frac{h 4\pi \varepsilon_{0}}{me^2} = a_0$ ( Bohr radius) Hence, $r_n = n^2 a_0$.