Exam 16: Atoms

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The energy of a quantum of radiation in a vacuum that has a wavelength of 447 nm is approximately

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What is the magnitude of the change in potential energy for the electron in the hydrogen atom as it moves from the n = 2 to n = 3 orbit? (The radius of the 1st Bohr orbit is 0.0529 nm.)

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What is the energy difference between the transition with the longest wavelength and the transition with the shortest wavelength in the Balmer series?

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The wavelength of the visible line in the hydrogen spectrum that corresponds to m = 4 in the Balmer equation is

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The critical experiments that established the nuclear nature of atoms were performed by

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An electron in a hydrogen atom jumps from the n = 5 to n = 3 level. Is a photon absorbed or emitted in this process? What is the wavelength of the photon? State whether the photon is in the visible, ultraviolet, or infrared range of the electro-magnetic spectrum.

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What is the wavelength of the most energetic X rays emitted from an X-ray tube operated at 40 kV?

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The constant in the Rydberg-Ritz formula is RH = 10.96776 µm-1. The wavelength predicted by this formula for n1 = 5 and n2 = 3 is

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According to the Bohr theory, the allowed energy states for the hydrogen atom are given by the relation According to the Bohr theory, the allowed energy states for the hydrogen atom are given by the relation   . This formula can be readily extended to other hydrogenic (one-electron) systems. The energy of the second level (n = 2) for the doubly ionized lithium atom is . This formula can be readily extended to other hydrogenic (one-electron) systems. The energy of the second level (n = 2) for the doubly ionized lithium atom is

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If the angular momentum is characterized by the quantum number If the angular momentum is characterized by the quantum number   = 3, what is the largest possible angle between   and the +z axis? = 3, what is the largest possible angle between If the angular momentum is characterized by the quantum number   = 3, what is the largest possible angle between   and the +z axis? and the +z axis?

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The wavelength of the visible line in the hydrogen spectrum that corresponds to m = 5 in the Balmer equation is

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According to the Bohr theory, a hydrogen atom

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The symbol that represents the orbital angular momentum is

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The order-of-magnitude of the diameter of the nucleus is closest to

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For the principal quantum number n = 4, the number of values the magnetic quantum number m can have is

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The principle quantum number of an electron is 3. The possible magnitudes of the orbital angular momentum, L, are

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Use the following figure for the next two problems. Use the following figure for the next two problems.   -The energy of a hydrogen atom in the n = 5 state is approximately -The energy of a hydrogen atom in the n = 5 state is approximately

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The limit (n = ∞\infty ) of a particular spectral series is the line of

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  The X-ray spectrum of an X-ray tube with a molybdenum target is shown. The K edge (K-electron binding energy) is 0.0617 nm. The lowest voltage that could produce the spectrum shown is The X-ray spectrum of an X-ray tube with a molybdenum target is shown. The K edge (K-electron binding energy) is 0.0617 nm. The lowest voltage that could produce the spectrum shown is

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For the hydrogen atom in the ground state, the radial probability density is  For the hydrogen atom in the ground state, the radial probability density is   The probability of finding the electron in the range  \Delta r = 0.04a<sub>0</sub> at r = a<sub>0</sub> is The probability of finding the electron in the range Δ\Delta r = 0.04a0 at r = a0 is

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