00:01
So in this question, you have hydrogen atom in a state described by this wave function, which is basically the, it's basically the agon states, actually, of the wave function.
00:19
It's basically the eigenway function of the state, you know, with principle, quantum number two and angular number one.
00:28
Right and has this kind of a forum so you ask you to look at the uh basically to ask you to evaluate this uh probably amputed right which is basically integral of this function with function with the ground states of the hydrogen atom right um you know the grand state of hydrogen atom you can you know that it's basically one minus all over a, right? and multiplied by a constant, which is one over so granted way function of hydrogen am is given by, there's a pie here, and you have explanation and divided by a square root of the cube of a, right? and then you need to do the integration between these two way functions, which is already given in this question.
01:39
So, and you see that these wave functions here and this one, they don't depend on the angles, right, c -105.
01:47
So the integration of the angle is just, just works out.
01:50
And if you do the integration, what you get is just the solid angle, the full solid angle, which is 4 pi, right? so actually, you'll find that the overlap between these wave functions is simply given by 4 pi times from the infinite, just the integration of arrow, right? r squared as well.
02:08
And you have this 1 -0 -0 arrow and times the psi arrow 0, right? it's already given in this equation, right? it's already given this equation.
02:24
I'll just put out there.
02:28
The next thing you need to do is to, first you need to plug all of these constants, right? all of these constants and all of these constants here.
02:37
You need to plug them in front to, you can pull them in front of, the integral, right? so i will just, i would just drop those constants.
02:46
You need to put them back up course...