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Electromagnetic radiation can be specified by its wavelength (λ) , its frequency (υ) or its period (τ) . The period τ is the time it takes one complete wavelength to pass a point in space. Based on this information, what is the mathematical relationship between υ and τ?


A) υ = 1/τ
B) υ= τ
C) τ = υ/ с
D) с = τ × υ
E) τ = с/υ

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

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A wave function for an electron is called an atomic orbital.

A) True
B) False

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Contact lenses can focus light due to the __________ of the waves.


A) diffraction
B) reflection
C) refraction
D) dispersion
E) interference

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

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The ionization energy is the energy needed to remove an electron from an atom. In the Bohr model of the hydrogen atom, this means exciting the electron to the n = ∞ state. What is the ionization energy in kJ/mol, for hydrogen atoms initially in the n = 2 energy level?


A) 290 kJ/mol
B) 328 kJ/mol
C) 656 kJ/mol
D) 983 kJ/mol
E) 1311 kJ/mol

F) B) and E)
G) A) and B)

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Select the arrangement of electromagnetic radiation which starts with the lowest wavelength and increases greatest wavelength.


A) radio, infrared, ultraviolet, gamma rays
B) radio, ultraviolet, infrared, gamma rays
C) gamma rays, radio, ultraviolet, infrared
D) gamma rays, infrared, radio, ultraviolet
E) gamma rays, ultraviolet, infrared, radio

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

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For potassium metal, the work functionΦ (the minimum energy needed to eject an electron from the metal surface) is 3.68 × 1019 J. Which is the longest wavelength of the following which could excite photoelectrons?


A) 550 nm
B) 500 nm
C) 450 nm
D) 400 nm
E) 350 nm

F) A) and E)
G) B) and E)

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The de Broglie equation predicts that the wavelength (in m) of a proton moving at 1000. m/s is


A) 3.96 × 10 10 m.
B) 3.96 × 10 7 m.
C) 2.52 × 10 6 m.
D) 2.52 × 10 9 m.
E) > 10 10 m.

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

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Which of the following is a correct set of quantum numbers for an electron in a 5f orbital?


A) n = 5, l = 3, ml = +1
B) n = 5, l = 2, ml = +3
C) n = 4, l = 3, ml = 0
D) n = 4, l = 2, ml = +1
E) n = 5, l = 4, ml = 3

F) B) and E)
G) A) and E)

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In the Bohr model of the hydrogen atom, the electron moves in a circular path which Bohr referred to as an orbital.

A) True
B) False

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Who proposed the principle that states that one cannot simultaneously know the exact position and velocity of a particle?


A) Einstein
B) Planck
C) Heisenberg
D) Compton
E) de Broglie

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

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Who was the first scientist to propose that an object could emit only certain amounts of energy?


A) Planck
B) Einstein
C) Bohr
D) Rydberg
E) de Broglie

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

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According to the Rydberg equation, the longest wavelength (in nm) in the series of H-atom lines with n1 = 3 is


A) 1875 nm.
B) 1458 nm.
C) 820. nm.
D) 656 nm.
E) 365 nm.

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

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The energy of an electron in the hydrogen atom is determined by


A) the principal quantum number ( n) only.
B) the angular momentum quantum number ( l) only.
C) the principal and angular momentum quantum numbers ( n & l ) .
D) the principal and magnetic quantum numbers ( n & ml) .
E) the principal, angular momentum and magnetic quantum numbers.

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

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If the energy of a photon is 1.32 × 1018 J, what is its wavelength in nm?


A) 1.50 × 10 7 nm
B) 150 nm
C) 1.99 × 10 15 nm
D) 1.99 × 10 24 nm
E) None of these choices are correct.

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

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The Bohr theory of the hydrogen atom predicts the energy difference (in J) between the n = 3 and the n = 5 state to be


A) 8.72 × 10 20 J.
B) 1.36 × 10 19 J.
C) 2.42 × 10 19 J.
D) 1.55 × 10 19 J.
E) 1.09 × 10 18 J.

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

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Which scientist first proposed that the electron in the hydrogen atom can have only certain energies?


A) Planck
B) Einstein
C) Bohr
D) Rydberg
E) Heisenberg

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

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Line spectra from all regions of the electromagnetic spectrum, including the Paschen series of infrared lines for hydrogen, are used by astronomers to identify elements present in the atmospheres of stars. Calculate the wavelength of the photon emitted when the hydrogen atom undergoes a transition from n = 5 to n = 3. (R = 1.096776 × 107 m1)


A) 205.1 nm
B) 384.6 nm
C) 683.8 nm
D) 1282 nm
E) > 1500 nm

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

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Use the Rydberg equation to calculate the frequency of a photon absorbed when the hydrogen atom undergoes a transition from n1 = 2 to n2 = 4. (R = 1.096776 × 107 m1)


A) 2.056 × 10 6 s 1
B) 2.742 × 10 6 s 1
C) 6.165 × 10 14 s 1
D) 8.226 × 10 14 s 1
E) > 10 15 s 1

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

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The interference pattern seen when light passes through narrow, closely spaced slits, is due to


A) diffraction.
B) reflection.
C) refraction.
D) dispersion.
E) deflection.

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

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In the Rydberg equation, for a fixed value of n1, the longest wavelength line has n2 = ∞.

A) True
B) False

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