Solved: Recall that is the probability of finding the

QUESTION:

Recall that |\(\Psi\)|\(^{2} dx\) is the probability of finding the particle that has normalized wave function \(\Psi (x)\) in the interval x to x + dx. Consider a particle in a box with rigid walls at x = 0 and x = L. Let the particle be in the ground level and use \(\Psi_{x}\) as given in Eq. (40.35). (a) For which values of x, if any, in the range from 0 to L is the probability of finding the particle zero? (b) For which values of x is the probability highest? (c) In parts (a) and (b) are your answers consistent with Fig. 40.12? Explain.