What is Part A? t PSS 40.1 Quantum mechanics Problems Learning Goal: To practice

Question

What is Part A?

t PSS 40.1 Quantum mechanics Problems Learning Goal: To practice Problem-Solving Strategy 40.1 for guantum mechanics problems. A particle of mass m in its first excited state is confined to a one-dimensional box of length L: an infinite square well, where the potential energy of a particle inside the box is zero, and the potential energy of a particle outside is infinite. Determine the probability PL/10 of finding the particle within L/10 from the center of the box. Figure 1 of 1 UCX) E K inside the box

Explanation / Answer

AC

Anywhere inside the box, the particle's potential energy is zero, meaning that inside the box, the particle has only kinetic energy. Plus, we must remember the first excited state is n=2. Also, because of the infinitely high potential-energy barriers that prevent the particle from ever being outside the box, no matter how much kinetic energy it may have, there is zero probability of finding the particle at either x<0 or x>L.

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