Solution Found!
FIGURE is the velocity-versus-time graph for a 2.0 kg
Chapter 11, Problem 13E(choose chapter or problem)
One measure of the intensity of a transition of frequency v is the oscillator strength, f, which is defined as
\(f=\frac{8 \pi^2 m_{\mathrm{e}} v\left|\boldsymbol{\mu}_{\mathrm{f}}\right|^2}{3 h e^2}\)
Consider an electron in an atom to be oscillating harmonically in one dimension (the three-dimensional version of this model was used in early attempts to describe atomic structure). The wavefunctions for such an electron are those in Table 9.1. Show that the oscillator strength for the transition of this electron from its ground state is exactly \(\frac{1}{3}\).
Questions & Answers
QUESTION:
One measure of the intensity of a transition of frequency v is the oscillator strength, f, which is defined as
\(f=\frac{8 \pi^2 m_{\mathrm{e}} v\left|\boldsymbol{\mu}_{\mathrm{f}}\right|^2}{3 h e^2}\)
Consider an electron in an atom to be oscillating harmonically in one dimension (the three-dimensional version of this model was used in early attempts to describe atomic structure). The wavefunctions for such an electron are those in Table 9.1. Show that the oscillator strength for the transition of this electron from its ground state is exactly \(\frac{1}{3}\).
ANSWER:Step 1 of 5
We have to determine the work done on the object during each of the four intervals AB, BC, CD, and DE.
The work done on the object during each of the four intervals AB, BC, CD, and DE can be determined by WorkEnergy Theorem.
WorkEnergy Theorem states that “the total work done an object is equal to change in the kinetic energy of the body”.
\(W =\Delta K E\)
\(=\frac{1}{2} m v_{f}^{2}-\frac{1}{2} m v_{i}^{2}\)
Where,
\(m =\text { mass of the object }\)
\(=2 \mathrm{~kg}\)
\(v_{i} =\text { initial velocity in } \mathrm{m} / \mathrm{s}\)
\(v_{f} =\text { final velocity } \mathrm{in} \mathrm{m} / \mathrm{s}\)