The behaviour of an electron in a hydrogen atom can be described by the radial function R(r) = N



r a0

2 e

−r a0 , where N > 0 is a constant and a0 > 0 is the Bohr radius

(another constant). For simplicity, set a0 = 1.

a. Calculate limr→0 R(r).

b. What is R(10)? What is R(100)? What can you say about the value of limr→∞ R(r)?

c. Set N = a0 = 1 and plot R(r).