Question 1

A photoelectron produced by ionization in a photoelectron spectrometer is ejected with a velocity of 861 km s-1. Calculate the de Broglie wavelength of the electron.

Accepted Answer

A)  8.45 nm 
B)  8.45 Å 
C)  8.45 pm 
D)  0.845 F1F1F1S1F1F1F10m 
A)  8.45 nm 
B)  8.45 Å 
C)  8.45 pm 
D)  0.845 F1F1F1S1F1F1F10m B

Question 2

The red radiation emitted by a HeNe laser is of wavelength 6328 Å. Calculate the energy of the photons that are emitted.

Accepted Answer

A)  3.139 F1F1F1S1F1F1F10 10-19 J 
B)  3.139 F1F1F1S1F1F1F10 10-29 J 
C)  4.193 F1F1F1S1F1F1F10 10-40 J 
D)  4.193 F1F1F1S1F1F1F10 10-20 J 
A)  3.139 F1F1F1S1F1F1F10 10-19 J 
B)  3.139 F1F1F1S1F1F1F10 10-29 J 
C)  4.193 F1F1F1S1F1F1F10 10-40 J 
D)  4.193 F1F1F1S1F1F1F10 10-20 J A

Question 3

A F1F1F1S1F1F1F10 electron in a conjugated hydrocarbon is confined to an effective distance of 8.27 Å. Use the uncertainty principle to calculate the minimum uncertainty in the speed of the electron.

Accepted Answer

A)  44.0 km s-1 
B)  7.00 F1F1F1S1F1F1F10 10-6 m s-1 
C)  70.0 km s-1 
D)  1.46 F1F1F1S1F1F1F10 1016 m s-1 
A)  44.0 km s-1 
B)  7.00 F1F1F1S1F1F1F10 10-6 m s-1 
C)  70.0 km s-1 
D)  1.46 F1F1F1S1F1F1F10 1016 m s-1 C

Question 4

The vibrational energy of a carbon monoxide, CO, molecule in its first excited vibrational state is 3.42 F1F1F1S1F1F1F10 10-20 J. Assuming that a carbon monoxide molecule may be treated as a harmonic oscillator with a force constant of k = 2170 N m-1, calculate the classical amplitude of vibration for the molecule in this state.

Accepted Answer

A)  5.61 nm 
B)  5.61 pm 
C)  5.61 Å 
D)  56.1 nm 
A)  5.61 nm 
B)  5.61 pm 
C)  5.61 Å 
D)  56.1 nm

Question 5

A quantum-mechanical particle rotating in three dimensions has an orbital angular momentum quantum number l = 2. What is the magnitude of the angular momentum?

Accepted Answer

A)  2 kg m2 
B)  2 ℏ 
C)  3 ℏ 
D)  61/2 ℏ 
A)  2 kg m2 
B)  2 ℏ 
C)  3 ℏ 
D)  61/2 ℏ

Question 6

Ultraviolet radiation of wavelength 121 nm is used to irradiate a sample of potassium metal. The work function of potassium is 2.25 eV. Calculate the speed of the electrons emitted through the photoelectric effect.

Accepted Answer

A)  1.89 F1F1F1S1F1F1F10 106 m s-1 
B)  1.18 F1F1F1S1F1F1F10 106 m s-1 
C)  0.890 F1F1F1S1F1F1F10 106 m s-1 
D)  1.68 F1F1F1S1F1F1F10 106 m s-1 
A)  1.89 F1F1F1S1F1F1F10 106 m s-1 
B)  1.18 F1F1F1S1F1F1F10 106 m s-1 
C)  0.890 F1F1F1S1F1F1F10 106 m s-1 
D)  1.68 F1F1F1S1F1F1F10 106 m s-1

Question 7

Estimate the de Broglie wavelength of a neutron that has a kinetic energy of 0.025 eV.

Accepted Answer

A)  1.8 Å 
B)  78 Å 
C)  7.0 F1F1F1S1F1F1F10 106 m 
D)  72 F1F1F1S1F1F1F10 10-21 m 
A)  1.8 Å 
B)  78 Å 
C)  7.0 F1F1F1S1F1F1F10 106 m 
D)  72 F1F1F1S1F1F1F10 10-21 m

Question 8

For a particle rotating in three dimensions, what is the degeneracy of the level with orbital angular momentum quantum number l = 3?

Accepted Answer

A)  1 
B)  0 
C)  7 
D)  2 
A)  1 
B)  0 
C)  7 
D)  2

Question 9

The effective length of the F1F1F1S1F1F1F10 system in the conjugated linear hydrocarbon hexa-1,3,5-triene, C6H8, is 7.4 Å. By treating the F1F1F1S1F1F1F10 electrons as particles in a one-dimensional box, calculate the wavelength of the lowest energy absorption in the electronic spectrum of hexa-1,3,5-triene.

Accepted Answer

A)  260 nm 
B)  1820 nm 
C)  140 nm 
D)  202 nm 
A)  260 nm 
B)  1820 nm 
C)  140 nm 
D)  202 nm

Question 10

A quantum-mechanical particle of mass m is contained within a three-dimensional box with all sides of the same length L. What is the degeneracy of the level with energy 9h2 / 8mL2?

Accepted Answer

A)  9 
B)  2 
C)  1 
D)  6 
A)  9 
B)  2 
C)  1 
D)  6

A photoelectron produced by ionization in a photoelectron spectrometer is ejected with a velocity of 861 km s^-1. Calculate the de Broglie wavelength of the electron.

The red radiation emitted by a HeNe laser is of wavelength 6328 Å. Calculate the energy of the photons that are emitted.

A  electron in a conjugated hydrocarbon is confined to an effective distance of 8.27 Å. Use the uncertainty principle to calculate the minimum uncertainty in the speed of the electron.

A quantum-mechanical particle rotating in three dimensions has an orbital angular momentum quantum number l = 2. What is the magnitude of the angular momentum?

Ultraviolet radiation of wavelength 121 nm is used to irradiate a sample of potassium metal. The work function of potassium is 2.25 eV. Calculate the speed of the electrons emitted through the photoelectric effect.

Estimate the de Broglie wavelength of a neutron that has a kinetic energy of 0.025 eV.

For a particle rotating in three dimensions, what is the degeneracy of the level with orbital angular momentum quantum number l = 3?

The effective length of the  system in the conjugated linear hydrocarbon hexa-1,3,5-triene, C₆H₈, is 7.4 Å. By treating the  electrons as particles in a one-dimensional box, calculate the wavelength of the lowest energy absorption in the electronic spectrum of hexa-1,3,5-triene.

A quantum-mechanical particle of mass m is contained within a three-dimensional box with all sides of the same length L. What is the degeneracy of the level with energy 9h² / 8mL²?

The Propertiesof Gases

The First Law of Thermodynamics

The Second Law of Thermodynamics

Physical Transformations

Chemical Change

Chemical Kinetics

Atomic Structure

The Chemical Bond

Molecular Interactions

Molecular Spectroscopy

Statistical Thermodynamics

Filters

Exam 7: Quantum Theory

A photoelectron produced by ionization in a photoelectron spectrometer is ejected with a velocity of 861 km s-1. Calculate the de Broglie wavelength of the electron.

The red radiation emitted by a HeNe laser is of wavelength 6328 Å. Calculate the energy of the photons that are emitted.

A  electron in a conjugated hydrocarbon is confined to an effective distance of 8.27 Å. Use the uncertainty principle to calculate the minimum uncertainty in the speed of the electron.

A quantum-mechanical particle rotating in three dimensions has an orbital angular momentum quantum number l = 2. What is the magnitude of the angular momentum?

Ultraviolet radiation of wavelength 121 nm is used to irradiate a sample of potassium metal. The work function of potassium is 2.25 eV. Calculate the speed of the electrons emitted through the photoelectric effect.

Estimate the de Broglie wavelength of a neutron that has a kinetic energy of 0.025 eV.

For a particle rotating in three dimensions, what is the degeneracy of the level with orbital angular momentum quantum number l = 3?

The effective length of the  system in the conjugated linear hydrocarbon hexa-1,3,5-triene, C6H8, is 7.4 Å. By treating the  electrons as particles in a one-dimensional box, calculate the wavelength of the lowest energy absorption in the electronic spectrum of hexa-1,3,5-triene.

A quantum-mechanical particle of mass m is contained within a three-dimensional box with all sides of the same length L. What is the degeneracy of the level with energy 9h2 / 8mL2?

The Propertiesof Gases

The First Law of Thermodynamics

The Second Law of Thermodynamics

Physical Transformations

Chemical Change

Chemical Kinetics

Atomic Structure

The Chemical Bond

Molecular Interactions

Molecular Spectroscopy

Statistical Thermodynamics

Filters

A photoelectron produced by ionization in a photoelectron spectrometer is ejected with a velocity of 861 km s^-1. Calculate the de Broglie wavelength of the electron.

The effective length of the  system in the conjugated linear hydrocarbon hexa-1,3,5-triene, C₆H₈, is 7.4 Å. By treating the  electrons as particles in a one-dimensional box, calculate the wavelength of the lowest energy absorption in the electronic spectrum of hexa-1,3,5-triene.

A quantum-mechanical particle of mass m is contained within a three-dimensional box with all sides of the same length L. What is the degeneracy of the level with energy 9h² / 8mL²?