For a particle in the lowest energy level of a one dimensional box 1 Angstrons wide, calculate the probability of finding the particle between 0.40A and 0.60A

1 answer

http://itl.chem.ufl.edu/4412_aa/partinbox.html

find the prob from .4A to .6A, evaluate the integral

Pr= INT (2/L sin^2 (PIx/L) dx from.4L to .6L

Pr= 2/L INT sin^2 (PI x/L) dx
= 2/L (x/2 - L/4PI * sin 2PI x/L)
then evaluate over the limits. check that integral http://integral-table.com/