Chapter 40, Problem 40.46P

(a)

To determine

The probability of finding the particle in the region between $0$ and $\frac{L}{4}$.

(b)

To determine

The probability of finding the particle in the region between $\frac{L}{4}$ and $\frac{L}{2}$.

(c)

To determine

The comparison between the probability of finding the particle from $x=0$ to $x=\frac{L}{4}$ and that from $x=\frac{L}{4}$ to $x=\frac{L}{2}$.

(d)

To determine

The total probability between $x=0$ and $x=\frac{L}{2}$.

(e)

To determine

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