Wave function of hydrogen in 2s state

[tatiana_eggs]

Homework Statement

Suppose that a hydrogen atom is in the 2s state. Taking r = a0, calculate value for \psi2s(a0)

Homework Equations

I did spherical harmonics for l=0 ml=0 times the radial wavefunction for n=2 l=0. Got the same thing as the solution manual attached but when I started calculating I did not get the same final answer. I would just like someone else to punch in the numbers and see if they get the final answer in the book or perhaps something different, like I did.

The Attempt at a Solution

My final answer turned out to be 1.57*10^14 m^(3/2)

My main question is how the author got e^(-1/2) over 4(2pi)^(1/2) = 0.380, see underlined terms in pic (latex is not working for me today)

 

[Redbelly98]

That's weird, I agree with your answer.

 

[tatiana_eggs]

Phew, that's a relief. I thought I was going crazy. What's funny is I have both the second and third edition of this book and they have that same answer.

Thanks for your help.