Chapter 8, Problem 12P

(a)

To determine

Sketch the graph for wave function versus radial coordinate of the electron.

(b)

To determine

To show that the probability of finding the electron between $r$ and $r+dr$ is given by ${\left|\psi \left(r\right)\right|}^{2}4\pi r^{2}dr$.

(c)

To determine

Sketch the probability versus radial coordinate and calculate the radius at which the electron is most likely to be found.

(d)

To determine

Show that the given wave function is normalised.

(e)

To determine

The probability of locating the electron between $r_1=a_0/2$ and $r_2=3a_0/2$.