Exam 28: Atomic Physics

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In a plot of probability of finding the electron in the hydrogen ground state versus the distance from the nucleus,the maximum occurs:

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In the n = 4 shell,how many distinct values of mt are possible?

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The ionization energy of the hydrogen atom is 13.6 eV.What is the wavelength of a photon having this much energy? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.6 × 10−19 J,and 1 nm = 10−9 m)

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A photon is emitted from a hydrogen atom that undergoes a transition from n = 3 to n = 2.Calculate the energy and wavelength of the photon.(The ionization energy of hydrogen is 13.6 eV,and h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

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A ruby laser can deliver an 4.33 J pulse in approximately 50 nanoseconds.The wavelength of the light is 694 nm.At least how many atoms within the ruby rod had to be excited to allow this high-energy laser pulse? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.6 × 10−19 J,and 1 nm = 10−9 m)

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The Lyman series of hydrogen corresponds to electron transitions from higher levels to n = 1.What is the longest wavelength in that series? (R = 1.097 × 107 m−1 and 1 nm = 10−9 m)

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In an analysis relating Bohr's theory to the de Broglie wavelength of electrons,when an electron moves from the n = 1 level to the n = 2 level,the circumference for its orbit becomes 4 times greater.This occurs because:

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An energy of 13.6 eV is needed to remove an electron from the n = 3 state of a lithium atom.If a single photon accomplishes this task,what wavelength is needed? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.6 × 10−19 J,and 1 nm = 10−9 m)

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Of the various wavelengths emitted from a hydrogen gas discharge tube,those that are associated with transitions from higher levels down to the n = 1 level produce which of the following?

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A hydrogen atom in the ground state absorbs a 13.32-eV photon.To what level is the electron promoted? (The ionization energy of hydrogen is 13.6-eV).

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If a target element with atomic number Z used in the production of x-rays is replaced by another element for which the atomic number = 5Z,by what factor is the wavelength of the K-alpha x-ray line changed?

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What is the energy needed to change an He+ ion into an He++ ion? (The ionization energy of hydrogen is 13.6 eV).

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The quantum mechanical model of the hydrogen atom requires that if the orbital magnetic quantum number is 3,there will be how many permitted spin magnetic quantum numbers?

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The Paschen series of hydrogen corresponds to electron transitions from higher levels to n = 3.What is the shortest wavelength in that series? (R = 1.097 × 107 m−1 and 1 nm = 10−9 m)

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When an electron moves from the n = 1 to the n = 2 orbit:

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According to the Rutherford model of the atom,most of the volume of an atom:

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Characteristic x-rays are the result of:

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Of the various wavelengths emitted from a hydrogen gas discharge tube,those associated with transitions from higher levels down to the n = 2 level produce which of the following?

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Using quantum theories to study the hydrogen atom allows the prediction and experimental verification of many data about atoms such as He+ and Li2+.Some quantities that can successfully be predicted about He+ and Li2+ in this manner are:

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The ionization energy of the hydrogen atom is 13.6 eV.What is the energy of a photon emitted corresponding to a transition from the n = 5 to n = 3 state?

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