Exam 16: Atoms

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For the hydrogen atom in the state n = 2, l = 0, m = 0, the radial probability density is  For the hydrogen atom in the state n = 2, l = 0, m = 0, the radial probability density is   The probability of finding the electron in the range  \Delta r = 0.04a<sub>0</sub> at r = 2a<sub>0</sub> is The probability of finding the electron in the range Δ\Delta r = 0.04a0 at r = 2a0 is

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E

The kinetic energy of an electron moving in a circular orbit of radius r about a positive charge Ze varies

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C

The energy of an electron in an atom is determined primarily by the quantum numbers

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B

If you measure the angular momentum of an electron in units of If you measure the angular momentum of an electron in units of   , you find that the angular momentum is quantized to the value _______ units and that its component along any direction can have only the _______ values ranging from -   to +   units. , you find that the angular momentum is quantized to the value _______ units and that its component along any direction can have only the _______ values ranging from - If you measure the angular momentum of an electron in units of   , you find that the angular momentum is quantized to the value _______ units and that its component along any direction can have only the _______ values ranging from -   to +   units. to + If you measure the angular momentum of an electron in units of   , you find that the angular momentum is quantized to the value _______ units and that its component along any direction can have only the _______ values ranging from -   to +   units. units.

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For the hydrogen atom in the ground state, the wave function is For the hydrogen atom in the ground state, the wave function is   The probability of finding the electron from r = 0 to r = 2a<sub>0</sub> is approximately Note:  The probability of finding the electron from r = 0 to r = 2a0 is approximately Note: For the hydrogen atom in the ground state, the wave function is   The probability of finding the electron from r = 0 to r = 2a<sub>0</sub> is approximately Note:

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The binding energy of hydrogen is 13.6 eV. The wavelength of the emission line corresponding to the transition from n = 4 to n = 3 is

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A hydrogen atom is in an excited state having a binding energy of 0.85 eV in this state. The atom makes a transition to a state whose excitation energy is 10.2 eV. The energy of the photon emitted in this transition is approximately

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  The dashed curve on the graph shows the probability of finding the electron at a distance r for The dashed curve on the graph shows the probability of finding the electron at a distance r for

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Use the following figure for the next two problems. Use the following figure for the next two problems.   -What is the longest wavelength needed for an electron to make the transition labeled (f)? -What is the longest wavelength needed for an electron to make the transition labeled (f)?

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The symbol that represents the principal quantum number is

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  The set of quantum numbers for the probability density shown is The set of quantum numbers for the probability density shown is

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Z for the element whose electronic configuration is 1s22s22p63s23p2 Must be

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Consider a beryllium (Z = 4) ion with all but one of its electrons removed. What is the kinetic energy of the electron in the n = 1 orbit. (The radius of the 1st Bohr orbit in Be3+ is 0.0132 nm.)

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A hydrogen atom is in the state n = 4, A hydrogen atom is in the state n = 4,   = 3. The two spectral states due to spin-orbit coupling are = 3. The two spectral states due to spin-orbit coupling are

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   The figure shows the energy-level diagram of an X-ray machine with a nickel target that is being operated at a potential of 50 keV. The photon wavelength of the allowed K <sub> \alpha </sub>  emission X rays is approximately The figure shows the energy-level diagram of an X-ray machine with a nickel target that is being operated at a potential of 50 keV. The photon wavelength of the allowed K α\alpha emission X rays is approximately

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  The set of quantum numbers for the probability density shown is The set of quantum numbers for the probability density shown is

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Using Bohr's model, the speed of an electron in the first orbit is

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The number of oxygen's eight electrons that are found in the p state is

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A compact disc of a CD player has a moment of inertia I = 2.5 *10-5 kg · m2 and rotates at 500 rev/min. Taking L = I ω \omega and using the quantization of angular momentum, the approximate value of L is (  A compact disc of a CD player has a moment of inertia I = 2.5 *10<sup>-5</sup> kg · m<sup>2</sup> and rotates at 500 rev/min. Taking L = I  \omega   and using the quantization of angular momentum, the approximate value of L is (   = 1.055* 10<sup>-34</sup> J · s) = 1.055* 10-34 J · s)

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The first Bohr radius, r0, is 0.0529 nm and the corresponding energy, E0, is 13.6 eV. The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 4 to n = 2 is

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