Problem 4 For hydrogen-like atoms (ie, system with one electron and one nucleus), the radial probability density (RPD) is given by: RPD = 'IRO) a. Write the term Rm (r) for the is orbital of a hydrogen-like atom in terms of nuclear charge (2) and the Bohr radius (a.). (Hint: remember that intim = ROY...) and use the tables at the end of the exam). b. Write the expression of the radial probability density (RPD) for als orbital. Show that the most probable distance from the nucleus to the electron is di compute the most probable distance for H, LP and N. (Hint: be careful when computing the nuclear charge) e. Explain the physically why the trend observed in the point (d) makes sense. m of the