17. Periodic Motion

FIGURE EX15.7 is the position-versus-time graph of a particle in simple harmonic motion. What is the phase constant?

What are the (a) amplitude, (b) frequency, and (c) phase constant of the oscillation shown in FIGURE EX15.6?

INT An electron is confined in a harmonic potential well that has a spring constant of 2.0 N/m. What are the first three energy levels of the electron?

For the ground level of a harmonic oscillator, $\text{∆}x\text{∆}{p}_x=\text{ħ}/2$. Do a similar analysis for an excited level that has quantum number $$$n$. How does the uncer­tainty product $\text{∆}x\text{∆}{p}_x$ depend on $n$?