The radial distribution function  $\left[P\left(r\right)\right]$ is used to determine the most probable radius which is used to find the electron in a given orbital.  The  $\frac{d\left[P\left(r\right)\right]}{dr}$ is given by  $\frac{d\left[P\left(r\right)\right]}{dr}=\frac{4z^3}{a_0^3}[2r-\frac{2Z{r}^2}{a_0}]e^{\frac{-2Zr}{a_0}}$.  Then, which of the following statements is/are correct?(a₀ is expressed in pm)