Physics - Modern Physics Question with Solution | TestHub

In the Bohr's model of hydrogen-like atom the force between the nucleus and the electron is modified as $F=\frac{e^2}{4\pi {\epsilon }_0}\left(\frac{1}{r^2}+\frac{\beta }{r^3}\right)$, where $\beta$ is a constant. For this atom, the radius of the $n^{\text{th }}$ orbit in terms of the Bohr radius $\left(a_0=\frac{{\epsilon }_0{h}^2}{m\pi e^2}\right)$ is :