Determine the probability that a particle in 1-dimension box of length a, with no forces acting on it, in state corresponding to n=10,will be found in the region between a/3 and 2a/3

Step-by-step explanation:

From the Schrodinger equation, we have that the the wave function for a particle in 1-dimension box of length a, with no forces acting on it, is given by

where

In this case, we have a state corresponding to . Hence,

To find the probability that a particle will be found in a region between and , we need to calculate the following integral

where is the conjugate wave equation of . Thus,

and we have

To solve the integral above, use the trigonometric identity

Therefore,

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

you'll have to attache the image of the bar graph in order for us to answer : )

step-by-step explanation: