# Young's double slit experiment (prob density)

by t_n_p
Tags: density, double, experiment, prob, slit, young
 P: 581 Got it! Thanks a WHOLE lot! There's another follow on question.. Show that interference maxima is given by Ignoring part c) for the time being, how exactly is pr density related to the interference maxima equation?
 Emeritus Sci Advisor PF Gold P: 9,772 Check out the slit interference pages at hyperphysics: http://hyperphysics.phy-astr.gsu.edu...opt/slits.html
 P: 581 hmmm, still don't get it.
Emeritus
PF Gold
P: 9,772
 Quote by t_n_p hmmm, still don't get it.
What specifically don't you understand?
 P: 581 how the prob density equation just found is related to the interference equation.
Emeritus
PF Gold
P: 9,772
 Quote by t_n_p how the prob density equation just found is related to the interference equation.
There's no need to relate the probability density to the interference pattern, the question simply asks you to derive the fringe separation, which can be done without using the probability density.
 P: 581 hmm? It says "Using the results obtained in (a) [The pr density part], show that the interference maxima are given by..."
Emeritus
PF Gold
P: 9,772
 Quote by t_n_p hmm? It says "Using the results obtained in (a) [The pr density part], show that the interference maxima are given by..."
Okay, how does the maxima relate to $\rho$? What is a maxima?
P: 581
 Quote by Hootenanny Okay, how does the maxima relate to $\rho$? What is a maxima?
So derive $\rho$ in terms of $\psi$ and set to zero?
 P: 581 Also, where would lambda come from?
Emeritus
PF Gold
P: 9,772
 Quote by t_n_p So derive $\rho$ in terms of $\psi$ and set to zero?
Who would one set $\rho$ to zero? Wouldn't a maxima occur when $\rho$ is greatest?
 Quote by t_n_p What about A (imaginary number?)
What is the maximum value of $\rho$?
P: 581
 Quote by Hootenanny Who would one set $\rho$ to zero? Wouldn't a maxima occur when $\rho$ is greatest? What is the maximum value of $\rho$?
The maximum value of $\rho$ is 1, or at least that is what I think. But where to from there?
Emeritus
PF Gold
P: 9,772
 Quote by t_n_p The maximum value of $\rho$ is 1, or at least that is what I think.
No it isn't
P: 581
 Quote by Hootenanny No it isn't
infinity????

 Emeritus Sci Advisor PF Gold P: 9,772 What is the maximum value of $\cos^2\theta$?
P: 581
 Quote by Hootenanny What is the maximum value of $\cos^2\theta$?
1!!!!!!!!
Emeritus
Correct, therefore the maximum value of $\rho$ is...?