For this problem, inspect the quantum harmonic oscillator solution with quantum

Question

For this problem, inspect the quantum harmonic oscillator solution with quantum number 10 -5-3-135 D | Question 1 1 pts This figure ilustrates the O probablity of frég the particle at a- position along O absence of nodes for omharonic oscillator solutions O the existence of aero pint ene for the quantum harmonic osc O the wave function withm umber 10 O the wave function with quntum mumber 2 D Question 2 1 pts The probability of finding the particle is highest O where the potential enengy is lowest O where the totail energy is lowest 0 where the kinetk energy ¡¡west interference symmetry

Explanation / Answer

Option (a) is correct as it is the modulus of the wavefunction squared that gives the probability of finding a particle in a region. Since it has ten nodes, it corresponds to the wave function with quantum number 10.

----------------

The graph indicates a very large amplitude at the two ends of he harmonic oscillator potential. Thus, the particle has the greatest lrobabiprob of getting detected there. In an harmonic oscillator, the ends are associated with greatest potential energy and least kinetic energy.

Thus, the correct option is (c) with lowest kinetic energy.

In a given state, the particle has constant energy, that does not change with position. Thus option (b) is wrong.

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.