The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is φ (r)= (1/ πao^3) exp (-r/ao)

Required:

a. What is the probability of finding the electron inside a sphere of volume 1.0 pm^3 , centered at the nucleus.

1pm= 10^-12m

b. What is the probability of finding the electron in a volume of 1.0 pm3 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction?

c. What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?