The radial wave function corresponding to the (Z = 1) n = 3 and l = 1 states R31(r) and radial probability distribution

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The radial wave function corresponding to the (Z = 1) n = 3 and
l = 1 states R31(r) and radial probability distribution
𝜌 of the hydrogen atom are respectively,
,
.

a) Find the places where the radial probability density 𝜌 is zero
in terms of Bohr radius 𝑎.
b) Find the places that maximize the radial probability density 𝜌
in terms of 𝑎.
c) Determine the maximum values of radial probability density
𝜌.
d) Now take 𝑎 = 0.529 to obtain the 𝜌 − 𝑟 graph on the
computer.