What we will give you on the front page of the exam

Basically, we will give you all the conversion factors and physical constants that you will need for the exam. We might even give you a few extra ones. We will also list all the formulas that we've been using.

Constants and Conversions

\(h = 6.626\times 10^{-34}\;{\rm J\cdot s}\)

\({\cal R} = 2.18\times 10^{-18}\;{\rm J}\)

\(c = 3.00\times 10^8\;\;{\rm m/s}\)

\(N_{\rm A} = 6.022\times 10^{23}\;{\rm mol}^{-1}\)

\(m_{\rm e} = 9.11\times 10^{-31}\;{\rm kg}\)

\(1 \;{\rm lb} = 453.6\;\;{\rm g}\)

\(1 \;{\rm in} = 2.54\;\;{\rm cm}\)

\(1 \;{\rm u} = 1.66\times 10^{-27}\;{\rm kg}\)

Formulas

\(c = \lambda \cdot \nu \)

\(E = h\nu \)

\( E_{\rm k} = {1\over 2} m_{\rm e}v^2 = h\nu - \Phi \)

\(E_n = -{{\cal R}\over n^2}\)

\(\Delta E = {\cal R} \left({1 \over n_f^2} - {1 \over n_i^2}\right)\)

\(\lambda = {h\over mv} \)

\(\psi_n(x) = \left(2\over L\right)^{1\over 2} \sin\left({n\pi x\over L}\right) \;\;\;n=1,2,\cdots \)

\( E_n = {n^2h^2\over 8mL^2} \;\; n=1,2,3,\cdots \)

\(\Delta x \cdot m\Delta v \geq { h \over 4 \pi } \)

\(-{\hbar^2\over 2m}{{\rm d}^2\psi \over {\rm d}x^2} + V(x)\psi = E\psi\)

1. Electromagnetic radiation – Planck theory of light
2. Electromagnetic radiation – relationship between E, ν, and λ
3. Electromagnetic radiation – relationship between E, ν, and λ
4. Failure of classical physics – photoelectric effect: theory and application
5. Failure of classical mechanics—emission spectra
6. Wave particle duality of light and matter
7. deBroglie equation theory and calculation
8. Uncertainty principle theory and calculation
9. Rydberg equation calculation
10. Bohr model theory
11. Quantum mechanics– Aufbau, Hunds, Pauli
12. Photoelectric effect - description and explanation