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18 - Atomic Physics

# 18 - Atomic Physics - Physics 8B 18 Atomic Physics rev 4.0...

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Physics 8B 18 – Atomic Physics rev 4.0 1 18 – Atomic Physics 1. Q: Lord Rutherford found that most of an atom consists of empty space. This means that the chair on which you are sitting is mostly empty space. Why, therefore, don’t you fall through the chair onto the floor? 2. A 0.5 mW red helium-neon laser has a wavelength of 633nm. a) P: What is the frequency of the laser light? b) P: What is the energy of a photon of the laser light? c) Q: Would a 0.5 mW green laser produce more or fewer photons per sec? Explain.

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Physics 8B 18 – Atomic Physics rev 4.0 2 3. a) Q: The spectrum of an atom contains a number of spectral lines. What do these spectral lines correspond to? b) Q: Hydrogen atoms have only one electron. The spectrum of hydrogen contains a large number of lines. How is this possible? c) Q: The ground state energy level of the electron in a hydrogen atom is negative. What is the significance of the negative sign? d) Q: What does the zero energy state for an electron in a hydrogen atom correspond to?
Physics 8B 18 – Atomic Physics rev 4.0 3 4. A proton, mass m p , is trapped in an infinite energy well of width L. (Recall within the well, U(x) is zero, so the energy the particle has is all kinetic.) a) Q: Draw the wave functions ψ n for n = 1, 2, 3, 4. b) Q: Draw the probability densities ψ 2 n for n = 1, 2, 3, 4. c) For the proton in the n=3 state i) P: What is the deBroglie wavelength of the proton? ii) P: What is the speed of the proton? iii) Q: Where are you most likely to find the proton? iv) Q: Where are you least likely to find the proton? v) P: What is the probability of finding the proton at x = 3L/4 in an interval of width Δ x=L/100? vi) Q: If the proton absorbs a photon of wavelength λ , to jump to the n=4 state, do your answers to i), ii), and v) increase, decrease, or stay the same? Explain.

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