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. $n{a}_0$
• B. $\sqrt{n}{a}_0$
• C. $n^2{a}_0$
• D. $n^3{a}_0$

Answer 1

Answer: (C)

The radius of $n^{th}$ orbit $r_n=n^2\frac{\hslash 4\pi {\epsilon }_0}{m{e}^2}$
where $\frac{\hslash 4\pi {\epsilon }_0}{m{e}^2}=a_0$ ( Bohr radius)
Hence, $r_n=n^2{a}_0$.