For hypothetical hydrogen-like atom, the potential energy of the system is given by $\text{U}\left(\text{r}\right)=\frac{-{\text{Ke}}^2}{{\text{r}}^3}$, where, r is the distance between the two particles. If Bohr's model of quantization of angular momentum is applicable, then the velocity of the particle is given by

Consider third orbit of ${\mathrm{He}}^{+}$ (helium), using non-relativistic approach, the speed of electron in this orbit will be given constant $K{\text{=9×10}}^{\text{9}}$, $Z=2$ and $h$ (Planck's Constant)$\text{= 6}\text{.6 }\times {\text{ 10}}^{-34}\text{ J s}$

The magnitude of acceleration of the electron in the $n^{\text{th}}$ orbit of hydrogen atom is $a_{\mathrm{H}}$ and that of singly ionised helium atom is $a_{\mathrm{He}}$. The ratio $a_{\mathrm{H}}:a_{\mathrm{He}}$ is,