Question 1

If the kinetic energy of an electron is quadrupled, its de Broglie wavelength is

Accepted Answer

A)  quadrupled. 
B)  doubled. 
C)  halved. 
D)  quartered. 
A)  quadrupled. 
B)  doubled. 
C)  halved. 
D)  quartered.

Question 2

For Bohr's atom, the lowest three energy levels (in eV) are approximately

Accepted Answer

A)  -12, -3, -1. 
B)  -12, -6, -4. 
C)  -12, -24, -36. 
D)  -12, -48, -108. 
A)  -12, -3, -1. 
B)  -12, -6, -4. 
C)  -12, -24, -36. 
D)  -12, -48, -108.

Question 3

Bohr's Correspondence Principle states that the results of quantum theory must agree with those obtained from classical theory

Accepted Answer

A)  in the limit of large quantum numbers. 
B)  in the limit of small quantum numbers. 
C)  if the quantum numbers can be canceled from the equations. 
D)  Hold it! The correspondence principle does not insist upon agreement under any circumstances. 
A)  in the limit of large quantum numbers. 
B)  in the limit of small quantum numbers. 
C)  if the quantum numbers can be canceled from the equations. 
D)  Hold it! The correspondence principle does not insist upon agreement under any circumstances.

Question 4

For the de Broglie wavelengths of an electron and of a proton to be equal, the electron must travel

Accepted Answer

A)  much faster than the proton. 
B)  much slower than the proton. 
C)  at the same speed as the proton. 
D)  Hold it! Speed is irrelevant; mass is what counts. 
A)  much faster than the proton. 
B)  much slower than the proton. 
C)  at the same speed as the proton. 
D)  Hold it! Speed is irrelevant; mass is what counts.

Question 5

The radii of the electron orbits in the hydrogen atom are related to the quantum number n by being proportional to

Accepted Answer

A)  n2 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$ 
A)  n2 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$

Question 6

The numbers of available states for the n = 2 and the n = 3 shells are, respectively,

Accepted Answer

A)  2 and 8. 
B)  8 and 18. 
C)  10 and 26. 
D)  10 and 28. 
A)  2 and 8. 
B)  8 and 18. 
C)  10 and 26. 
D)  10 and 28.

Question 7

The energy of the stationary states of the hydrogen atom is determined principally by the quantum number

Accepted Answer

A)  l. 
B)  m. 
C)  n. 
D)  s. 
A)  l. 
B)  m. 
C)  n. 
D)  s.

Question 8

The de Broglie wavelength of a proton (which has a mass > than that of an electron) is

Accepted Answer

A) > the de Broglie wavelength of an electron. B) $\approx$ the de Broglie wavelength of an electron. C) < the de Broglie wavelength of an electron. D) Hold it! No such generalization is valid. A) > the de Broglie wavelength of an electron. B) $\approx$ the de Broglie wavelength of an electron. C) < the de Broglie wavelength of an electron. D) Hold it! No such generalization is valid.

Question 9

The space quantization of the orbits for the stationary states of the hydrogen atom is determined principally by the quantum number

Accepted Answer

A)  l. 
B)  m. 
C)  n. 
D)  s. 
A)  l. 
B)  m. 
C)  n. 
D)  s.

Question 10

The approximate radius of the lowest Bohr orbit in the hydrogen atom is

Accepted Answer

A)  1/1000 angstrom. 
B)  an angstrom. 
C)  1000 angstroms. 
D)  1,000,000 angstroms. 
A)  1/1000 angstrom. 
B)  an angstrom. 
C)  1000 angstroms. 
D)  1,000,000 angstroms.

Question 11

An electron in the Bohr model is in an $n = 3$ state. The electron then jumps down to the $n = 1$ state and gives off a photon of wavelength

Accepted Answer

A)  412 nm. 
B)  318 nm. 
C)  103 nm. 
D)  285 nm. 
A)  412 nm. 
B)  318 nm. 
C)  103 nm. 
D)  285 nm.

Question 12

The phrase similar electron configurations in reference to different elements describes a similar

Accepted Answer

A)  number of electrons in the outermost shell. 
B)  missing number of electrons in the outermost shell. 
C)  Either of the first two responses may be valid. 
D)  Neither of the first two responses is valid. 
A)  number of electrons in the outermost shell. 
B)  missing number of electrons in the outermost shell. 
C)  Either of the first two responses may be valid. 
D)  Neither of the first two responses is valid.

Question 13

The absorption of certain wavelengths of white light produces dark lines in the spectrum. These dark lines are called

Accepted Answer

A)  Airy lines. 
B)  Fraunhofer lines. 
C)  Rydberg lines. 
D)  polarization lines. 
A)  Airy lines. 
B)  Fraunhofer lines. 
C)  Rydberg lines. 
D)  polarization lines.

Question 14

The spacing of the energy levels for an excited atom and for a rotating molecule, as the level gets higher, is, respectively,

Accepted Answer

A)  closer together and closer together. 
B)  closer together and farther apart. 
C)  farther apart and closer together. 
D)  farther apart and farther apart. 
A)  closer together and closer together. 
B)  closer together and farther apart. 
C)  farther apart and closer together. 
D)  farther apart and farther apart.

Question 15

The transitions associated with allowed energy level changes for the vibrational and the rotational states of a specific molecular type involve frequencies that, respectively,

Accepted Answer

A)  have a single value and have a single value. 
B)  have a single value and range over a spectrum. 
C)  range over a spectrum and have a single value. 
D)  range over a spectrum and range over a spectrum. 
A)  have a single value and have a single value. 
B)  have a single value and range over a spectrum. 
C)  range over a spectrum and have a single value. 
D)  range over a spectrum and range over a spectrum.

Question 16

The energy levels in the hydrogen atom are related to the quantum number n by being proportional to

Accepted Answer

A)  n2. 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$ 
A)  n2. 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$

Question 17

An electron has energy of 105 eV. The frequency associated with this electron is

Accepted Answer

A)  $1.5 \times 10 ^ { 15 }$ Hz. 
B)  $2.5 \times 10 ^ { 16 }$ Hz. 
C)  $7.4 \times 10 ^ { 15 }$ Hz. 
D)  $6.6 \times 10 ^ { 16 }$ Hz. 
A)  $1.5 \times 10 ^ { 15 }$ Hz. 
B)  $2.5 \times 10 ^ { 16 }$ Hz. 
C)  $7.4 \times 10 ^ { 15 }$ Hz. 
D)  $6.6 \times 10 ^ { 16 }$ Hz.

Question 18

Thomson's "plum pudding" model, and electromagnetic theory, accounted for all of the following features of the atom except

Accepted Answer

A)  the order of magnitude of the frequency of the emitted radiation. 
B)  the electrical neutrality. 
C)  the stability. 
D)  Hold it! There are no exceptions. 
A)  the order of magnitude of the frequency of the emitted radiation. 
B)  the electrical neutrality. 
C)  the stability. 
D)  Hold it! There are no exceptions.

Question 19

The shortest possible wavelength of the spectral lines in the Paschen series is

Accepted Answer

A)  785 nm. 
B)  862 nm. 
C)  821 nm. 
D)  762 nm. 
A)  785 nm. 
B)  862 nm. 
C)  821 nm. 
D)  762 nm.

Question 20

The de Broglie wavelength of an electron associated with a hydrogen atom in the ground state is

Accepted Answer

A) > the atomic radius. B) $\approx$ the atomic radius. C) < the atomic radius. D) Hold it! Insufficient information is given to answer this question unambiguously. A) > the atomic radius. B) $\approx$ the atomic radius. C) < the atomic radius. D) Hold it! Insufficient information is given to answer this question unambiguously.

Exam 38: Spectral Lines, Bohrs Theory, and Quantum Mechanics

If the kinetic energy of an electron is quadrupled, its de Broglie wavelength is

For Bohr's atom, the lowest three energy levels (in eV) are approximately

Bohr's Correspondence Principle states that the results of quantum theory must agree with those obtained from classical theory

For the de Broglie wavelengths of an electron and of a proton to be equal, the electron must travel

The radii of the electron orbits in the hydrogen atom are related to the quantum number n by being proportional to

The numbers of available states for the n = 2 and the n = 3 shells are, respectively,

The energy of the stationary states of the hydrogen atom is determined principally by the quantum number

The de Broglie wavelength of a proton (which has a mass > than that of an electron) is

The space quantization of the orbits for the stationary states of the hydrogen atom is determined principally by the quantum number

The approximate radius of the lowest Bohr orbit in the hydrogen atom is

An electron in the Bohr model is in an n=3n = 3n=3 state. The electron then jumps down to the n=1n = 1n=1 state and gives off a photon of wavelength

The phrase similar electron configurations in reference to different elements describes a similar

The absorption of certain wavelengths of white light produces dark lines in the spectrum. These dark lines are called

The spacing of the energy levels for an excited atom and for a rotating molecule, as the level gets higher, is, respectively,

The transitions associated with allowed energy level changes for the vibrational and the rotational states of a specific molecular type involve frequencies that, respectively,

The energy levels in the hydrogen atom are related to the quantum number n by being proportional to

An electron has energy of 105 eV. The frequency associated with this electron is

Thomson's "plum pudding" model, and electromagnetic theory, accounted for all of the following features of the atom except

The shortest possible wavelength of the spectral lines in the Paschen series is

The de Broglie wavelength of an electron associated with a hydrogen atom in the ground state is

Space, Time, and Mass

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Newtons Laws of Motion

Further Applications of Newtons Laws

Work and Energy

Conservation of Energy

Gravitation

Systems of Particles

Collisions

Rotation of a Rigid Body

Dynamics of a Rigid Body

Statics and Elasticity

Oscillations

Waves

Sound

Fluid Mechanics

The Ideal Gas

Heat

Thermodynamics

Electric Force and the Electric Charge

The Electric Field

Gauss Law

Electrostatic Potential and Energy

Capacitors and Dielectrics

Currents and Ohms Law

Direct Current Circuits

Magnetic Force and Field

Charges and Currents in Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

Reflection, Refraction, and Optics

Interference and Diffraction

The Theory of Special Relativity

Quanta of Light

Quantum Structure of Atoms, Molecules, and Solids

Nuclei

Elementary Particles and Cosmology

Filters

An electron in the Bohr model is in an $n = 3$ state. The electron then jumps down to the $n = 1$ state and gives off a photon of wavelength