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When electrons fill a subshell in which the orbitals have equal energy,the order in which the orbitals are filled is such that


A) a minimum number of electrons has unpaired spins.
B) a minimum number of electrons has intrinsic angular momentum.
C) a maximum number of electrons has unpaired spins.
D) a maximum number of electrons first fills the next energy level.
E) the maximum number of electrons has the same set of quantum numbers.

F) B) and C)
G) A) and B)

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Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. Is Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. ) Which one,if either,is correct,and why?


A) Ruth,because the maximum value of L is Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. .
B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. has its maximum value along the field.
C) Zeke,because the maximum magnitude of Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. is L = Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. .
D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. has its maximum value along the field.
E) Neither,because they have interchanged the maximum magnitude of Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. , Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. ,and Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =   ) Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector   Is   ) Which one,if either,is correct,and why? A) Ruth,because the maximum value of L is   . B) Ruth,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. C) Zeke,because the maximum magnitude of   is L =   . D) Zeke,because the orbital angular momentum always lines up with a magnetic field so that   has its maximum value along the field. E) Neither,because they have interchanged the maximum magnitude of   ,   ,and   ,its maximum projection along a magnetic field direction. ,its maximum projection along a magnetic field direction.

F) A) and B)
G) A) and C)

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Suppose a beam of electrons is incident on a collection of hydrogen atoms,all of which are in the lowest energy state (n = 1).What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

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Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   ) Eve says that the Snake told her that a state with a given value of   Could have any value of n.Which one,if either,is correct,and why? A) Adam,because the man is always right. B) Adam because n ≤   − 1. C) Eve,because n ≤   − 1. D) Eve,because   ≤ n − 1. E) Neither,because Adam is wrong and the Snake told a subtle lie. ) Eve says that the Snake told her that a state with a given value of Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   ) Eve says that the Snake told her that a state with a given value of   Could have any value of n.Which one,if either,is correct,and why? A) Adam,because the man is always right. B) Adam because n ≤   − 1. C) Eve,because n ≤   − 1. D) Eve,because   ≤ n − 1. E) Neither,because Adam is wrong and the Snake told a subtle lie. Could have any value of n.Which one,if either,is correct,and why?


A) Adam,because the man is always right.
B) Adam because n ≤ Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   ) Eve says that the Snake told her that a state with a given value of   Could have any value of n.Which one,if either,is correct,and why? A) Adam,because the man is always right. B) Adam because n ≤   − 1. C) Eve,because n ≤   − 1. D) Eve,because   ≤ n − 1. E) Neither,because Adam is wrong and the Snake told a subtle lie. − 1.
C) Eve,because n ≤ Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   ) Eve says that the Snake told her that a state with a given value of   Could have any value of n.Which one,if either,is correct,and why? A) Adam,because the man is always right. B) Adam because n ≤   − 1. C) Eve,because n ≤   − 1. D) Eve,because   ≤ n − 1. E) Neither,because Adam is wrong and the Snake told a subtle lie. − 1.
D) Eve,because Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number   ) Eve says that the Snake told her that a state with a given value of   Could have any value of n.Which one,if either,is correct,and why? A) Adam,because the man is always right. B) Adam because n ≤   − 1. C) Eve,because n ≤   − 1. D) Eve,because   ≤ n − 1. E) Neither,because Adam is wrong and the Snake told a subtle lie. ≤ n − 1.
E) Neither,because Adam is wrong and the Snake told a subtle lie.

F) B) and E)
G) D) and E)

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Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 × 107 m−1)


A) 5
B) 2
C) 4
D) 3
E) 6

F) B) and D)
G) D) and E)

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All quantum states forming a shell have the same


A) principal quantum number n.
B) orbital quantum number All quantum states forming a shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. .
C) orbital magnetic quantum number All quantum states forming a shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. .
D) n, All quantum states forming a shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. and All quantum states forming a shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only.
E) n and All quantum states forming a shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. only.

F) A) and D)
G) A) and E)

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An electron is moving at a speed of 2.1 × 106 m/s in the first Bohr orbit.Determine its de Broglie wavelength.


A) 0.30 × 10−10 m
B) 1.7 × 10−10 m
C) 0.50 × 10−10 m
D) 3.5 × 10−10 m
E) 1.5 × 10−10 m

F) None of the above
G) C) and D)

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The energy difference between the upper and lower levels in a certain laser is 1.9593 eV.What is the wavelength of the light emitted by the laser?

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A hydrogen atom is in its first excited state (n = 2) .The linear momentum of the electron is (in kg ⋅ m/s)


A) 3 × 10−24
B) 2 × 10−24
C) 1 × 10−24
D) 4 × 10−24
E) 3 × 10−15

F) A) and D)
G) B) and D)

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Of the following states,5s,3p,4f,5p,4g,3d,and 2p,the one which is NOT allowed is


A) 3p
B) 4f
C) 3d
D) 4g
E) 2p

F) A) and B)
G) None of the above

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The s,p,d,f,symbols represent values of the quantum number


A) ms
B) n
C) The s,p,d,f,symbols represent values of the quantum number A) m<sub>s</sub> B) n C)    D)    E) m<sub>j</sub>
D) The s,p,d,f,symbols represent values of the quantum number A) m<sub>s</sub> B) n C)    D)    E) m<sub>j</sub>
E) mj

F) A) and D)
G) B) and D)

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The K,L,M symbols represent values of the quantum number


A) n
B) The K,L,M symbols represent values of the quantum number A) n B)    C)    D) m<sub>s</sub> E) m<sub>j</sub>
C) The K,L,M symbols represent values of the quantum number A) n B)    C)    D) m<sub>s</sub> E) m<sub>j</sub>
D) ms
E) mj

F) D) and E)
G) B) and E)

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All quantum states forming a sub-shell have the same


A) principal quantum number n.
B) orbital quantum number All quantum states forming a sub-shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. .
C) orbital magnetic quantum number All quantum states forming a sub-shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. .
D) n, All quantum states forming a sub-shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. and All quantum states forming a sub-shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only.
E) n and All quantum states forming a sub-shell have the same A) principal quantum number n. B) orbital quantum number   . C) orbital magnetic quantum number   . D) n,   and   E) n and   only. only.

F) C) and D)
G) B) and E)

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E

How fast is the electron moving in the first Bohr orbit?


A) 3.3 × 106 m/s
B) 2.2 × 106 m/s
C) 4.4 × 106 m/s
D) 5.5 × 106 m/s
E) 5.5 × 1015 m/s

F) A) and E)
G) C) and D)

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B

In the subshell of the Li2+ ion with orbital quantum number In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 ,the allowed values of the magnetic quantum number In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 Are


A) − In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 to In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1
B) −( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + 1) to ( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + l)
C) −( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + 2) to ( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + 2)
D) −( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + 3) to ( In the subshell of the Li<sup>2+</sup> ion with orbital quantum number   ,the allowed values of the magnetic quantum number   Are A) −   to   B) −(   + 1) to (   + l)  C) −(   + 2) to (   + 2)  D) −(   + 3) to (   + 3)  E) 0 to n − 1 + 3)
E) 0 to n − 1

F) A) and C)
G) A) and E)

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An electron in a hydrogen atom makes a transition from the n = 3 to the n = 1 energy state.Determine the wavelength of the emitted photon (in nm) .


A) 1006
B) 209
C) 306
D) 103
E) 821

F) A) and B)
G) A) and C)

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The allowed values of The allowed values of   For the n = 3 shell in a Li<sup>2+</sup> ion are A) 1,2 B) 0,1 C) 0,1,2 D) 0,1,2,3 E) 1,2,3 For the n = 3 shell in a Li2+ ion are


A) 1,2
B) 0,1
C) 0,1,2
D) 0,1,2,3
E) 1,2,3

F) None of the above
G) All of the above

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In a completely filled atomic shell,


A) the intrinsic spin of the electrons does not produce a resultant magnetic moment.
B) the orbital motion of the electrons does not produce a resultant magnetic moment.
C) the atom will be an alkali metal.
D) only (a) and (b) are correct.
E) none of the above are correct.

F) B) and E)
G) B) and D)

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Suppose Bohr had chosen the potential energy of the electron in the hydrogen atom to be V = 0 when the electron is in the orbit with n = 1.He could do this by


A) choosing n = 1 for the orbit where the kinetic energy of the electron is zero.
B) adding a constant 13.6 eV to the potential energy for all values of n.
C) adding a constant 27.2 eV to the potential energy for all values of n.
D) subtracting a constant 13.6 eV from the potential energy for all values of n.
E) subtracting a constant 27.2 eV from the potential energy for all values of n.

F) A) and E)
G) All of the above

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The ground state configuration of chlorine (Z = 17) is


A) 1s2 2s2 2p5 3s2 3p6
B) 1s2 2s2 2p6 3s2 3p5
C) 1s2 2s2 2p6 3s2 3p4 3d1
D) 1s2 2s2 2p6 3s2 3p5 4s1
E) 1s2 2s2 2p6 3s1 3p7

F) A) and B)
G) None of the above

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B

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