Question

In the case of a particle in a one-dimensional infinite potential well (box), what is the probability of finding the particle in the first half of the box for the ground state?

• A. \( \frac{1}{2} \)
• B. \( \frac{1}{3} \)
• C. \( \frac{1}{4} \)
• D. \( 1 \)

Hint:

In quantum mechanics, the probability of finding a particle in a given region is proportional to the square of the wave function. For the ground state in a box, the probability is evenly distributed over the entire box for simple problems like this.