Introduction to Electrodynamics · Problem 9.24

Potentials and Fields — David J. Griffiths

Physics · dispersion-model-hydrogen

Problem

If you take the model in Ex. 4.1 at face value, what natural frequency do you get? Put in the actual numbers. Where, in the electromagnetic spectrum, does this lie, assuming the radius of the atom is 0.5 Å? Find the coefficients of refraction and dispersion, and compare them with the measured values for hydrogen at 0∘0^\circC and atmospheric pressure: A=1.36×10−4A = 1.36 \times 10^{-4}, B=7.7×10−15m2B = 7.7 \times 10^{-15}\text{m}^2.

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