A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. If x is the distance from m1 to the center of mass, find the moment of inertia in terms of x about an axis perpendicular to the molecular axis through the center of mass.

A) 0 B) m1m2 r2/m1 + m2 C) m1(r − x)2 + m2x2 D) m1x2 + m2(r − x)2 E) m2x2 + m1r2 A) 0 B) m1m2 r2/m1 + m2 C) m1(r − x)2 + m2x2 D) m1x2 + m2(r − x)2 E) m2x2 + m1r2

The rotation spectrum of the HCl molecule suggests a photon in the far infrared (around 5.0 × 10−6 m) can excite the first rotational level. From this data, the moment of inertia of the HCl molecule (in kg ⋅ m2) is

A) 2.8 × 10−48 B) 2.8 × 10−49 C) 2.8 × 10−47 D) 2.8 × 10−46 E) 2.8 × 10−45 A) 2.8 × 10−48 B) 2.8 × 10−49 C) 2.8 × 10−47 D) 2.8 × 10−46 E) 2.8 × 10−45

The force constant of HCl is 480 N/m. If the atomic masses are 1 u and 35 u (1 u = 1.66 × 10−27 kg), find the fundamental frequency (in Hz).

A) 6.4 × 1013 B) 9.2 × 1013 C) 7.7 × 1013 D) 8.7 × 1013 E) 1.4 × 1013 A) 6.4 × 1013 B) 9.2 × 1013 C) 7.7 × 1013 D) 8.7 × 1013 E) 1.4 × 1013

When calculating the rotational kinetic energy of a diatomic molecule, with atoms of mass m1 and m2,the moment of inertia about an axis passing through the molecule's center of mass, with r the atomic separation, is

A) . B) . C) . D) . E) . A) . B) . C) . D) . E) .

A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. If x is the distance from m1 to the center of mass, find the moment of inertia in terms of x about an axis parallel to the molecular axis through the center of mass.

A) 0 B) m1x2 + m2(r − x)2 C) m1m2 r2(m1m2) D) m1(r − x)2 + m2x2 E) m1x2 + m2r2 A) 0 B) m1x2 + m2(r − x)2 C) m1m2 r2(m1m2) D) m1(r − x)2 + m2x2 E) m1x2 + m2r2

Exam 43: Molecules and Solids

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Assume a diatomic molecule can be considered to be two point masses separated by a distance r. The center of mass of the system is located a distance x from m₁, equal to

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The energy gap for a semiconductor is 1.25 eV. Of the frequencies given below, what is the minimum frequency photon than can move an electron from the valence band to the conduction band?

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The energy gap for germanium is 0.670 eV at room temperature. What wavelength must a photon have (in nm) to excite the electron to the conduction band?

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What is the energy of the first rotational state of the hydrogen (H₂) molecule? The separation between the protons is 10−¹⁰ m and the mass of each proton is 1.67 × 10−²⁷ kg. (h = 6.626 × 10−³⁴ J ⋅ s and 1 eV = 1.6 × 10−¹⁹ J.)

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Question 4

An experiment determines that there are 49 allowed rotational energies for a diatomic molecule whose moment of inertia is 2 × 10−⁴⁶ kg ⋅ m². The maximum rotational kinetic energy (in eV) is

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Question 5

The rotational kinetic energy of a diatomic molecule can take the form

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Question 6

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. If x is the distance from m₁ to the center of mass, find the moment of inertia in terms of x about an axis perpendicular to the molecular axis through the center of mass.

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Question 7

The rotation spectrum of the HCl molecule suggests a photon in the far infrared (around 5.0 × 10−⁶ m) can excite the first rotational level. From this data, the moment of inertia of the HCl molecule (in kg ⋅ m²) is

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Question 8

The moment of inertia of a CO molecule is 1.46 × 10−⁴⁶ kg ⋅ m². What is the wavelength of the photon emitted if a rotational transition occurs from the J = 3 to the J = 2 state?

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Question 9

Assume the angular momentum of a diatomic molecule is quantized according to the relation . What are the allowed rotational kinetic energies?

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Question 10

In the hydrogen molecule, H₂, the separation between the protons is 10−¹⁰ m. If the molecule is in its first rotational energy state, what is the angular velocity of the molecule about its center of mass?

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Question 11

If an electric field is applied to a metal

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Question 12

An energy band in a solid consists of

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Question 13

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. Find the moment of inertia through the center of mass about an axis perpendicular to the molecular axis.

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Question 14

The force constant of HCl is 480 N/m. If the atomic masses are 1 u and 35 u (1 u = 1.66 × 10−²⁷ kg), find the fundamental frequency (in Hz).

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Question 15

A molecule makes a transition from the J = 1 to the J = 0 rotational energy state. The wavelength of the emitted photon is 2.6 × 10−³ m. What is the moment of inertia of the molecule (in kg ⋅ m²)?

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Question 16

When calculating the rotational kinetic energy of a diatomic molecule, with atoms of mass m₁ and m₂,the moment of inertia about an axis passing through the molecule's center of mass, with r the atomic separation, is

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Question 17

When a molecule jumps from a rotational energy level characterized by the rotational quantum number J to one characterized by J − 1, the difference in energy of levels J and J − 1, E_J − EJ₋₁, is

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Question 18

The Fermi temperature is

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Question 19

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. If x is the distance from m₁ to the center of mass, find the moment of inertia in terms of x about an axis parallel to the molecular axis through the center of mass.

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Question 20

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Exam 43: Molecules and Solids

Assume a diatomic molecule can be considered to be two point masses separated by a distance r. The center of mass of the system is located a distance x from m1, equal to

The energy gap for a semiconductor is 1.25 eV. Of the frequencies given below, what is the minimum frequency photon than can move an electron from the valence band to the conduction band?

The energy gap for germanium is 0.670 eV at room temperature. What wavelength must a photon have (in nm) to excite the electron to the conduction band?

What is the energy of the first rotational state of the hydrogen (H2) molecule? The separation between the protons is 10−10 m and the mass of each proton is 1.67 × 10−27 kg. (h = 6.626 × 10−34 J ⋅ s and 1 eV = 1.6 × 10−19 J.)

An experiment determines that there are 49 allowed rotational energies for a diatomic molecule whose moment of inertia is 2 × 10−46 kg ⋅ m2. The maximum rotational kinetic energy (in eV) is

The rotational kinetic energy of a diatomic molecule can take the form

A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. If x is the distance from m1 to the center of mass, find the moment of inertia in terms of x about an axis perpendicular to the molecular axis through the center of mass.

The rotation spectrum of the HCl molecule suggests a photon in the far infrared (around 5.0 × 10−6 m) can excite the first rotational level. From this data, the moment of inertia of the HCl molecule (in kg ⋅ m2) is

The moment of inertia of a CO molecule is 1.46 × 10−46 kg ⋅ m2. What is the wavelength of the photon emitted if a rotational transition occurs from the J = 3 to the J = 2 state?

Assume the angular momentum of a diatomic molecule is quantized according to the relation . What are the allowed rotational kinetic energies?

In the hydrogen molecule, H2, the separation between the protons is 10−10 m. If the molecule is in its first rotational energy state, what is the angular velocity of the molecule about its center of mass?

If an electric field is applied to a metal

An energy band in a solid consists of

A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. Find the moment of inertia through the center of mass about an axis perpendicular to the molecular axis.

The force constant of HCl is 480 N/m. If the atomic masses are 1 u and 35 u (1 u = 1.66 × 10−27 kg), find the fundamental frequency (in Hz).

A molecule makes a transition from the J = 1 to the J = 0 rotational energy state. The wavelength of the emitted photon is 2.6 × 10−3 m. What is the moment of inertia of the molecule (in kg ⋅ m2)?

When calculating the rotational kinetic energy of a diatomic molecule, with atoms of mass m1 and m2,the moment of inertia about an axis passing through the molecule's center of mass, with r the atomic separation, is

When a molecule jumps from a rotational energy level characterized by the rotational quantum number J to one characterized by J − 1, the difference in energy of levels J and J − 1, EJ − EJ − 1, is

The Fermi temperature is

A diatomic molecule consists of two point masses, m1 and m2, separated by a distance r. If x is the distance from m1 to the center of mass, find the moment of inertia in terms of x about an axis parallel to the molecular axis through the center of mass.

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Assume a diatomic molecule can be considered to be two point masses separated by a distance r. The center of mass of the system is located a distance x from m₁, equal to

What is the energy of the first rotational state of the hydrogen (H₂) molecule? The separation between the protons is 10−¹⁰ m and the mass of each proton is 1.67 × 10−²⁷ kg. (h = 6.626 × 10−³⁴ J ⋅ s and 1 eV = 1.6 × 10−¹⁹ J.)

An experiment determines that there are 49 allowed rotational energies for a diatomic molecule whose moment of inertia is 2 × 10−⁴⁶ kg ⋅ m². The maximum rotational kinetic energy (in eV) is

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. If x is the distance from m₁ to the center of mass, find the moment of inertia in terms of x about an axis perpendicular to the molecular axis through the center of mass.

The rotation spectrum of the HCl molecule suggests a photon in the far infrared (around 5.0 × 10−⁶ m) can excite the first rotational level. From this data, the moment of inertia of the HCl molecule (in kg ⋅ m²) is

The moment of inertia of a CO molecule is 1.46 × 10−⁴⁶ kg ⋅ m². What is the wavelength of the photon emitted if a rotational transition occurs from the J = 3 to the J = 2 state?

In the hydrogen molecule, H₂, the separation between the protons is 10−¹⁰ m. If the molecule is in its first rotational energy state, what is the angular velocity of the molecule about its center of mass?

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. Find the moment of inertia through the center of mass about an axis perpendicular to the molecular axis.

The force constant of HCl is 480 N/m. If the atomic masses are 1 u and 35 u (1 u = 1.66 × 10−²⁷ kg), find the fundamental frequency (in Hz).

A molecule makes a transition from the J = 1 to the J = 0 rotational energy state. The wavelength of the emitted photon is 2.6 × 10−³ m. What is the moment of inertia of the molecule (in kg ⋅ m²)?

When calculating the rotational kinetic energy of a diatomic molecule, with atoms of mass m₁ and m₂,the moment of inertia about an axis passing through the molecule's center of mass, with r the atomic separation, is

When a molecule jumps from a rotational energy level characterized by the rotational quantum number J to one characterized by J − 1, the difference in energy of levels J and J − 1, E_J − EJ₋₁, is

A diatomic molecule consists of two point masses, m₁ and m₂, separated by a distance r. If x is the distance from m₁ to the center of mass, find the moment of inertia in terms of x about an axis parallel to the molecular axis through the center of mass.