Consider a singly charged Helium nucleus (He+). Argue that the Bohr model will work in describing spectroscopic emissions from this system. Now compute the frequency, wavelength and momentum of light emitted as the electron jumps from the n=5 to n=4 level. Do this by using the electron mass as well as the reduced mass. Why should the reduced mass give better results? Compute the percentage difference between the two. Using the Heisenberg Uncertainty relationship (ΔxΔp≥ℏ/2), estimate the radius of He+ for the n=5 level. You may assume the uncertainty in energy to be the same order as the energy of this level.

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Chapter8: Atomic Structure
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Problem 101AP: A student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the...
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Consider a singly charged Helium nucleus (He+). Argue that the Bohr model will work in describing spectroscopic emissions from this system. Now compute the frequency, wavelength and momentum of light emitted as the electron jumps from the n=5 to n=4 level. Do this by using the electron mass as well as the reduced mass. Why should the reduced mass give better results? Compute the percentage difference between the two. Using the Heisenberg Uncertainty relationship (ΔxΔp≥ℏ/2), estimate the radius of He+ for the n=5 level. You may assume the uncertainty in energy to be the same order as the energy of this level.

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