Question 1

A rotating diatomic molecule has rotational quantum number l. The energy DIFFERENCE between adjacent energy levels

Accepted Answer

A)  increases as l increases. 
B)  decreases as l increases. 
C)  is the same for all changes in l. 
D)  is independent of l. 
A)  increases as l increases. 
B)  decreases as l increases. 
C)  is the same for all changes in l. 
D)  is independent of l. A

Question 2

The vibrational frequency of an HF molecule is 8.72 × 1013 Hz and the reduced mass of the molecule is 1.589 × 10-27 kg. What is the ground state vibrational energy of an HF molecule? (1 eV = 1.60 × 10-19 J,   = 1.055 × 10-34 J ∙ s, h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A)  0.12 eV 
B)  0.18 eV 
C)  0.24 eV 
D)  0.30 eV 
E)  0.36 eV 
A)  0.12 eV 
B)  0.18 eV 
C)  0.24 eV 
D)  0.30 eV 
E)  0.36 eV B

Question 3

Covalent bonding is due to

Accepted Answer

A)  the sharing of electrons between atoms. 
B)  the transfer of electrons between atoms. 
C)  atoms bonding to hydrogen molecules. 
D)  atoms bonding to oxygen molecules. 
A)  the sharing of electrons between atoms. 
B)  the transfer of electrons between atoms. 
C)  atoms bonding to hydrogen molecules. 
D)  atoms bonding to oxygen molecules. A

Question 4

An unfilled electron state in the valence band is called

Accepted Answer

A)  a hole. 
B)  an empty electron. 
C)  a conduction electron. 
D)  a positron. 
E)  an empty positron. 
A)  a hole. 
B)  an empty electron. 
C)  a conduction electron. 
D)  a positron. 
E)  an empty positron.

Question 5

A diatomic molecule has 18 × 10-5 eV of rotational energy in the l = 2 quantum state. What is its rotational energy in the l = 0 quantum state?

Accepted Answer

A)  90 µeV 
B)  60 µeV 
C)  30 µeV 
D)  15 µeV 
E)  0 eV 
A)  90 µeV 
B)  60 µeV 
C)  30 µeV 
D)  15 µeV 
E)  0 eV

Question 6

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state. What is the frequency of vibration of the molecule? (h = 6.626 × 10-34 J ∙ s,   = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  1.93 × 1014 Hz 
B)  2.90 × 1014 Hz 
C)  4.35 × 1014 Hz 
D)  1.82 × 1015 Hz 
E)  2.73 × 1015 Hz 
A)  1.93 × 1014 Hz 
B)  2.90 × 1014 Hz 
C)  4.35 × 1014 Hz 
D)  1.82 × 1015 Hz 
E)  2.73 × 1015 Hz

Question 7

The moment of inertia of a fluorine (F2) molecule is 3.167 × 10-46. What is the rotational energy of a fluorine molecule for the l = 19 state? (h = 6.626 × 10-34 J ∙ s,   = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  4.2 × 10-2 eV 
B)  2.1 × 10-3 eV 
C)  4.6 × 10-2 eV 
D)  5.1 × 10-2 eV 
E)  5.6 × 10-2 eV 
A)  4.2 × 10-2 eV 
B)  2.1 × 10-3 eV 
C)  4.6 × 10-2 eV 
D)  5.1 × 10-2 eV 
E)  5.6 × 10-2 eV

Question 8

A diatomic has a moment of inertia of 7.73 × 10-45 kg∙ m2. What is its rotational energy in the quantum state characterized by l = 2? (h = 6.626 × 10-34 J ∙ s,   = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  22.7 µeV 
B)  27.0 µeV 
C)  587 µeV 
D)  72.2 µeV 
E)  87.1 µeV 
A)  22.7 µeV 
B)  27.0 µeV 
C)  587 µeV 
D)  72.2 µeV 
E)  87.1 µeV

Question 9

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state. If the molecule made a transition from the n = 2 state to the n = 1 state, what would be the energy of the photon it would emit? (h = 6.626 × 10-34 J ∙ s,   = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  3.60 eV 
B)  2.40 eV 
C)  1.20 eV 
D)  0.60 eV 
E)  0.30 eV 
A)  3.60 eV 
B)  2.40 eV 
C)  1.20 eV 
D)  0.60 eV 
E)  0.30 eV

Question 10

Estimate the rotational energy (in eV) for a diatomic hydrogen molecule in the l = 2 quantum state. (The equilibrium separation for the H2 molecule is 0.074 nm.) (1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s,  = 1.055 × 10-34 J ∙ s, mH ≈ mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  0.011 eV 
B)  0.026 eV 
C)  0.032 eV 
D)  0.046 eV 
E)  0.055 eV 
A)  0.011 eV 
B)  0.026 eV 
C)  0.032 eV 
D)  0.046 eV 
E)  0.055 eV

Question 11

A p-type semiconductor has a net positive charge.

Accepted Answer

A) True 
 B)False

Question 12

When a certain diatomic molecule undergoes a transition from the l = 5 to the l = 3 rotational level, the emitted photon has wavelength 2.87 × 10-4 m. Calculate the moment of inertia of the molecule. (c = 3.00 × 108 m/s, e = 1.60 × 10-19 C, h = 6.626 × 10-34 J ∙ s,   = 1.055 × 10-34 J ∙ s)

Accepted Answer

Question 13

What is the occupancy probability at an energy of 12.00 eV for a material with a Fermi energy (level) of 11.63 eV at a temperature of 500 K? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, Boltzmann constant = 1.38 × 10-23, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  0.00030% 
B)  0.019% 
C)  2.0% 
D)  6.0% 
E)  12% 
A)  0.00030% 
B)  0.019% 
C)  2.0% 
D)  6.0% 
E)  12%

Question 14

Approximately how many states in the range from 5.0 eV to 5.2 eV are there in a copper bar of volume 5.3 cm3? (h = 6.626 × 10-34 J ∙ s,  = 1.055 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  5.1 × 1022 
B)  3.2 × 1022 
C)  1.6 × 1022 
D)  8.2 × 1021 
E)  3.2 × 1021 
A)  5.1 × 1022 
B)  3.2 × 1022 
C)  1.6 × 1022 
D)  8.2 × 1021 
E)  3.2 × 1021

Question 15

A rotating diatomic molecule in its l = 1 quantum state has energy E. What is the energy of the same molecule in its l = 2 quantum state?

Accepted Answer

A)  2E 
B)  3E 
C)  4E 
D)  6E 
E)  8E 
A)  2E 
B)  3E 
C)  4E 
D)  6E 
E)  8E

Question 16

A metal has a Fermi level (energy) of 5.50 eV. At 1200 K, what energy will have a 90% occupancy probability? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, Boltzmann constant = 1.38 × 10-23, 1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  5.79 eV 
B)  5.73 eV 
C)  5.56 eV 
D)  5.44 eV 
E)  5.27 eV 
A)  5.79 eV 
B)  5.73 eV 
C)  5.56 eV 
D)  5.44 eV 
E)  5.27 eV

Question 17

A vibrating diatomic molecule has vibrational quantum number n. The energy DIFFERENCE between adjacent energy levels

Accepted Answer

A)  increases as n increases. 
B)  decreases as n increases. 
C)  is the same for all changes in n. 
D)  is independent of n. 
A)  increases as n increases. 
B)  decreases as n increases. 
C)  is the same for all changes in n. 
D)  is independent of n.

Question 18

The energy gap between the valence and conduction bands in a certain semiconductor is 1.25 eV. What is the threshold wavelength for optical absorption in this substance? (c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A)  599 nm 
B)  639 nm 
C)  959 nm 
D)  873 nm 
E)  994 nm 
A)  599 nm 
B)  639 nm 
C)  959 nm 
D)  873 nm 
E)  994 nm

Question 19

The Fermi level (energy) of a metal is 5.5 eV. What is the number of conduction electrons per unit volume for this metal? (mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A)  5.8 × 1028 / m3 
B)  6.2 × 1028 / m3 
C)  4.1 × 1028 / m3 
D)  8.4 × 1028 / m3 
E)  3.3 × 1028 / m3 
A)  5.8 × 1028 / m3 
B)  6.2 × 1028 / m3 
C)  4.1 × 1028 / m3 
D)  8.4 × 1028 / m3 
E)  3.3 × 1028 / m3

Question 20

A vibrating diatomic molecule in its ground state has energy E. What is the energy of the same molecule in its second EXCITED state?

Accepted Answer

A)  E 
B)  2E 
C)  3E 
D)  5E 
E)  9E 
A)  E 
B)  2E 
C)  3E 
D)  5E 
E)  9E

Exam 41: Molecules and Condensed Matter

A rotating diatomic molecule has rotational quantum number l. The energy DIFFERENCE between adjacent energy levels

The vibrational frequency of an HF molecule is 8.72 × 1013 Hz and the reduced mass of the molecule is 1.589 × 10-27 kg. What is the ground state vibrational energy of an HF molecule? (1 eV = 1.60 × 10-19 J, = 1.055 × 10-34 J ∙ s, h = 6.626 × 10-34 J ∙ s)

Covalent bonding is due to

An unfilled electron state in the valence band is called

A diatomic molecule has 18 × 10-5 eV of rotational energy in the l = 2 quantum state. What is its rotational energy in the l = 0 quantum state?

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state. What is the frequency of vibration of the molecule? (h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

The moment of inertia of a fluorine (F2) molecule is 3.167 × 10-46. What is the rotational energy of a fluorine molecule for the l = 19 state? (h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

A diatomic has a moment of inertia of 7.73 × 10-45 kg∙ m2. What is its rotational energy in the quantum state characterized by l = 2? (h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Estimate the rotational energy (in eV) for a diatomic hydrogen molecule in the l = 2 quantum state. (The equilibrium separation for the H2 molecule is 0.074 nm.) (1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s, mH ≈ mproton = 1.67 × 10-27 kg)

A p-type semiconductor has a net positive charge.

When a certain diatomic molecule undergoes a transition from the l = 5 to the l = 3 rotational level, the emitted photon has wavelength 2.87 × 10-4 m. Calculate the moment of inertia of the molecule. (c = 3.00 × 108 m/s, e = 1.60 × 10-19 C, h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s)

What is the occupancy probability at an energy of 12.00 eV for a material with a Fermi energy (level) of 11.63 eV at a temperature of 500 K? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, Boltzmann constant = 1.38 × 10-23, 1 eV = 1.60 × 10-19 J)

Approximately how many states in the range from 5.0 eV to 5.2 eV are there in a copper bar of volume 5.3 cm3? (h = 6.626 × 10-34 J ∙ s, = 1.055 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J)

A rotating diatomic molecule in its l = 1 quantum state has energy E. What is the energy of the same molecule in its l = 2 quantum state?

A metal has a Fermi level (energy) of 5.50 eV. At 1200 K, what energy will have a 90% occupancy probability? (mel = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s, Boltzmann constant = 1.38 × 10-23, 1 eV = 1.60 × 10-19 J)

A vibrating diatomic molecule has vibrational quantum number n. The energy DIFFERENCE between adjacent energy levels

The energy gap between the valence and conduction bands in a certain semiconductor is 1.25 eV. What is the threshold wavelength for optical absorption in this substance? (c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

The Fermi level (energy) of a metal is 5.5 eV. What is the number of conduction electrons per unit volume for this metal? (mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

A vibrating diatomic molecule in its ground state has energy E. What is the energy of the same molecule in its second EXCITED state?

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The vibrational frequency of an HF molecule is 8.72 × 10¹³ Hz and the reduced mass of the molecule is 1.589 × 10^-27 kg. What is the ground state vibrational energy of an HF molecule? (1 eV = 1.60 × 10^-19 J, = 1.055 × 10^-34J ∙ s, h = 6.626 × 10^-34J ∙ s)

A diatomic molecule has 18 × 10^-5 eV of rotational energy in the l = 2 quantum state. What is its rotational energy in the l = 0 quantum state?

A certain diatomic molecule emits a photon of energy 1.20 eV when it makes a transition from the n = 1 vibrational state to the next lower vibrational state. What is the frequency of vibration of the molecule? (h = 6.626 × 10^-34J ∙ s, = 1.055 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

The moment of inertia of a fluorine (F₂) molecule is 3.167 × 10^-46. What is the rotational energy of a fluorine molecule for the l = 19 state? (h = 6.626 × 10^-34 J ∙ s, = 1.055 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19J)

A diatomic has a moment of inertia of 7.73 × 10^-45 kg∙ m². What is its rotational energy in the quantum state characterized by l = 2? (h = 6.626 × 10^-34 J ∙ s, = 1.055 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

Estimate the rotational energy (in eV) for a diatomic hydrogen molecule in the l = 2 quantum state. (The equilibrium separation for the H₂ molecule is 0.074 nm.) (1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s, = 1.055 × 10^-34J ∙ s, ^mH ≈ ^mproton = 1.67 × 10^-27 kg)

What is the occupancy probability at an energy of 12.00 eV for a material with a Fermi energy (level) of 11.63 eV at a temperature of 500 K? (^mel = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, Boltzmann constant = 1.38 × 10^-23, 1 eV = 1.60 × 10^-19 J)

Approximately how many states in the range from 5.0 eV to 5.2 eV are there in a copper bar of volume 5.3 cm3? (h = 6.626 × 10^-34J ∙ s, = 1.055 × 10^-34 J ∙ s, ^mel = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19J)

A metal has a Fermi level (energy) of 5.50 eV. At 1200 K, what energy will have a 90% occupancy probability? (^mel = 9.11 × 10^-31 kg, h = 6.626 × 10^-34J ∙ s, Boltzmann constant = 1.38 × 10^-23, 1 eV = 1.60 × 10^-19 J)

The energy gap between the valence and conduction bands in a certain semiconductor is 1.25 eV. What is the threshold wavelength for optical absorption in this substance? (c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

The Fermi level (energy) of a metal is 5.5 eV. What is the number of conduction electrons per unit volume for this metal? (^mel = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)