An electron is trapped in the ground state of a one-dimensional infinite potential well that is L=120 pm wide (with walls at x=0 and x=L).What is the probability that one will find the electron in an interval between x = 0 and x = 0.25L?
A)0.091
B)0.16
C)0.25
D)0.36
E)0.50

Question

Quizplus · Accepted Answer

The probability of finding the electron in an interval of length x is given by:$$P = \frac{x}{L}$$So, the probability of finding the electron in an interval between x = 0 and x = 0.25L is:$$P = \frac{0.25L}{L} = 0.25$$

An Electron Is Trapped in the Ground State of a One-Dimensional