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## Homework Statement

2. Homework Equations [/B]

Uploaded as a picture as it's pretty hard to type out

## The Attempt at a Solution

So to normalise a wavefunction it has to equal 1 when squared.

A is the normalisation factor so we have:

A.x

^{2}e

^{-x/2a0}.x

^{2}e

^{-x/2a0}= 1

∫ψ*ψdx = A

^{2}∫x

^{4}e

^{-ax}dx = 1

Then I've been given the integral of this between 0 and ∞: ∫x

^{n}e

^{-ax}dx = n!/a

^{n+1}

∫ψ*ψdx = A

^{2}.4!/a

^{5}

= A

^{2}.24/a

^{5}

A = √a

^{5}/24

Have I done this right? I don't even know where to start with (ii). Any help would be greatly appreciated!