Chapter 40, Problem 40.51P

(a)

To determine

The probability of finding the particle in a box of length $L$ in the region between $\frac{L}{4}$ and $\frac{3L}{4}$ when the particle is in ground level.

(b)

To determine

The probability of finding the particle in a box of length $L$ in the region between $\frac{L}{4}$ and $\frac{3L}{4}$ when the particle is in first excited level.

(c)

To determine

Whether the probabilities obtained in the part (a) , part (b) are consistent with figure $40.12\text{b}$ in the text book.