Question 1

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

Question 2

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.

Question 3

The moment of inertia of a fluorine (   )molecule is   What is the rotational energy of a fluorine molecule for the l = 19 state? (h = 6.626 × 10-34 J • s, h = 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 4

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.

Question 5

A diatomic molecule has 2.6 × 10-5 eV of rotational energy in the l = 2 quantum state.What is its rotational energy in the l = 1 quantum state?

Accepted Answer

A)  3.4 µeV 
B)  4.1 µeV 
C)  5.3 µeV 
D)  7.8 µeV 
E)  8.7 µeV 
A)  3.4 µeV 
B)  4.1 µeV 
C)  5.3 µeV 
D)  7.8 µeV 
E)  8.7 µeV

Question 6

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,

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 7

Silver has a Fermi level (energy)of 5.5 eV.At 0 K,at what speed would the electrons be moving if they had kinetic energy equal to the Fermi energy? (This speed is known as the Fermi speed.)(mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J • s)

Accepted Answer

A)  1400 km/s 
B)  1.0 km/s 
C)  2.2 km/s 
D)  1100 km/s 
E)  3.5 km/s 
A)  1400 km/s 
B)  1.0 km/s 
C)  2.2 km/s 
D)  1100 km/s 
E)  3.5 km/s

Question 8

Ionic 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.

Question 9

The spacing of the atoms (treated as point masses)in the H2 molecule is 7.4 × 10-11 m.What is the energy of the l = 1 rotational level? (1 eV = 1.60 × 10-19 J,   , h = 1.055 × 10-34 J ∙ s,mh ≈ mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  0.090 eV 
B)  0.070 eV 
C)  0.045 eV 
D)  0.030 eV 
E)  0.015 eV 
A)  0.090 eV 
B)  0.070 eV 
C)  0.045 eV 
D)  0.030 eV 
E)  0.015 eV

Question 10

The Fermi energy of rubidium at a temperature of 5 K is 1.85 eV.An electron state in rubidium is 0.007 eV above the Fermi level.What is the probability that this state is occupied at a temperature of 9K? (mel = 9.11 × 10-31 kg,h = 6.626 × 10-34 J • s,Boltzmann constant =

Accepted Answer

A)  1 × 10-4 
B)  2 × 10-5 
C)  5 × 10-6 
D)  1 × 10-6 
E)  2 × 10-7 
A)  1 × 10-4 
B)  2 × 10-5 
C)  5 × 10-6 
D)  1 × 10-6 
E)  2 × 10-7

Question 11

For a solid in which the occupation of the energy states is given by the Fermi-Dirac distribution,the probability that a certain state is occupied at a temperature T0 is 0.70.If the temperature is doubled to 2T0,what is the probability that the same state is occupied? Assume that the Fermi energy does not change with temperature.

Accepted Answer

Exam 42: Molecules and Condensed Matter

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

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

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

Covalent bonding is due to

A diatomic molecule has 2.6 × 10-5 eV of rotational energy in the l = 2 quantum state.What is its rotational energy in the l = 1 quantum state?

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,

Silver has a Fermi level (energy)of 5.5 eV.At 0 K,at what speed would the electrons be moving if they had kinetic energy equal to the Fermi energy? (This speed is known as the Fermi speed.)(mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J • s)

Ionic bonding is due to

The spacing of the atoms (treated as point masses)in the H2 molecule is 7.4 × 10-11 m.What is the energy of the l = 1 rotational level? (1 eV = 1.60 × 10-19 J, , h = 1.055 × 10-34 J ∙ s,mh ≈ mproton = 1.67 × 10-27 kg)

The Fermi energy of rubidium at a temperature of 5 K is 1.85 eV.An electron state in rubidium is 0.007 eV above the Fermi level.What is the probability that this state is occupied at a temperature of 9K? (mel = 9.11 × 10-31 kg,h = 6.626 × 10-34 J • s,Boltzmann constant =

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

A diatomic molecule has 2.6 × 10^-5 eV of rotational energy in the l = 2 quantum state.What is its rotational energy in the l = 1 quantum state?

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

Silver has a Fermi level (energy)of 5.5 eV.At 0 K,at what speed would the electrons be moving if they had kinetic energy equal to the Fermi energy? (This speed is known as the Fermi speed.)(m_el = 9.11 × 10^-31 kg,1 eV = 1.60 × 10^-19 J,h = 6.626 × 10^-34 J • s)

The spacing of the atoms (treated as point masses)in the H₂ molecule is 7.4 × 10^-11 m.What is the energy of the l = 1 rotational level? (1 eV = 1.60 × 10^-19 J, , h = 1.055 × 10^-34 J ∙ s,m_h ≈ m_proton = 1.67 × 10^-27 kg)

The Fermi energy of rubidium at a temperature of 5 K is 1.85 eV.An electron state in rubidium is 0.007 eV above the Fermi level.What is the probability that this state is occupied at a temperature of 9K? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,Boltzmann constant =