Physics - Modern Physics Question with Solution | TestHub

A particle of mass $M_1$ and charge $z_1$ possess initial velocity $u$, when it is at a large distance from the nucleus of an atom having atomic number ${\mathrm{z}}_2$. At the distance of closest approach, the kinetic energy of particle is completely converted to potential energy. Mathematically, $$\frac{1}{2}{\mathrm{M}}_1{\mathrm{u}}^2=\frac{1}{4\pi {\epsilon }_0}\frac{{\mathrm{z}}_1{\mathrm{z}}_2}{{\mathrm{r}}_0}$$ So the energy of the particle is directly proportional to ${\mathrm{z}}_1{\mathrm{z}}_2$.