1. Tardigrade
  2. Question
  3. Physics
  4. The radius of nth orbit rn in terms of Bohr radius (a0) for a hydrogen atom is given by the relation

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Atoms

Solution:

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