In a reactor and sepertation plant complex, nuclide A is produced in pure form, without any contamination by nuclide B.
A has a half life of 23minutes and B has a half life of 23days. A is a beta only emitter whereas B is a beta and gamma emitter. If A has been purified in a reatcor and...
The average velocity of these particles is zero, because each particle is equally likely to have a positive or negative velocity in any direction.
Actually I think this is the reason
Homework Statement
Why is <vx> = 0 this is a gas molecule
Homework Equations
The Attempt at a Solution
I don't understand how the velocity could ever be zero?
I guess I would put that equation equal to zero and solve for x to find the local max and local min? But I have so many unknowns and its such a complex equation I am not sure if I could do this.
If I did have these values the usual way to find the max and min is to differentiate again then plug...
Its been a while since iv done proper differentiating so not sure if this is right
(4*n*pi/a^2)sin(n*pi/a)x*cos(n*pi/a)x
To ensure its a maxima wouldn't i have to dfferentiate again but i don't know what values to plug in??
So you are saying I should differentiate the function? but what would I do with the constants like a and n like what values would i plug in and how does that relate to xj?
But getting the maxima wouldn't figure out this question as it asking about it in general and not really a specific point and anyway I have no numbers to work with
Homework Statement
Show that the probability of finding a particle p=\Psi^2 is at max at x=xj
where xj=(2j+1/2n)a where j=0,1,2,3...n-1 and a is width of well
Homework Equations
p(x) = (2/a)sin^2((n*pi*x)/a)
The Attempt at a Solution
Im so confused I don't know where to...