Question 1

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s)

Accepted Answer

A)  2.86 × 1013 Hz 
B)  1.43 × 1013 Hz 
C)  7.46 × 1013 Hz 
D)  8.82 × 1013 Hz 
E)  1.05 × 1013 Hz 
A)  2.86 × 1013 Hz 
B)  1.43 × 1013 Hz 
C)  7.46 × 1013 Hz 
D)  8.82 × 1013 Hz 
E)  1.05 × 1013 Hz

Question 2

A particle confined in a rigid one-dimensional box (an infinite well) of length 17.0 fm has an energy level En = 24.0 MeV and an adjacent energy level En+1 = 37.5 MeV. What is the value of the ground state energy? (1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  1.50 MeV 
B)  13.5 MeV 
C)  0.500 MeV 
D)  4.50 MeV 
A)  1.50 MeV 
B)  13.5 MeV 
C)  0.500 MeV 
D)  4.50 MeV

Question 3

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength. Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Accepted Answer

A)  Both particles have the same speed. 
B)  Both particles have the same kinetic energy. 
C)  Both particles have the same momentum. 
D)  The electron has more kinetic energy than the proton. 
E)  The electron has more momentum than the proton. 
A)  Both particles have the same speed. 
B)  Both particles have the same kinetic energy. 
C)  Both particles have the same momentum. 
D)  The electron has more kinetic energy than the proton. 
E)  The electron has more momentum than the proton.

Question 4

Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of   What is the work function of this metal? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s,
1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  3.73 eV 
B)  3.13 eV 
C)  4.33 eV 
D)  4.92 eV 
A)  3.73 eV 
B)  3.13 eV 
C)  4.33 eV 
D)  4.92 eV

Question 5

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy
4.1 × 10-13 J? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

Accepted Answer

A)  1.0 × 106 
B)  1.4 × 108 
C)  6.2 × 109 
D)  3.9 × 103 
A)  1.0 × 106 
B)  1.4 × 108 
C)  6.2 × 109 
D)  3.9 × 103

Question 6

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 104 m/s? (mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)

Accepted Answer

A)  220 keV 
B)  150 keV 
C)  290 keV 
D)  360 keV 
E)  440 keV 
A)  220 keV 
B)  150 keV 
C)  290 keV 
D)  360 keV 
E)  440 keV

Question 7

The smallest kinetic energy that an electron in a box (an infinite well) can have is zero.

Accepted Answer

A) True 
 B)False

Question 8

A beam of red light and a beam of violet light each deliver the same power on a surface. For which beam is the number of photons hitting the surface per second the greatest?

Accepted Answer

A)  the red beam 
B)  the violet beam 
C)  It is the same for both beams. 
A)  the red beam 
B)  the violet beam 
C)  It is the same for both beams.

Question 9

An electron is bound in an infinite well (a box) of width 0.10 nm. If the electron is initially in the n = 8 state and falls to the n = 7 state, find the wavelength of the emitted photon. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

Accepted Answer

Question 10

An electron is in the ground state of an infinite well (a box) where its energy is 5.00 eV. In the next higher level, what would its energy be? (1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  1.25 eV 
B)  2.50 eV 
C)  10.0 eV 
D)  15.0 eV 
E)  20.0 eV 
A)  1.25 eV 
B)  2.50 eV 
C)  10.0 eV 
D)  15.0 eV 
E)  20.0 eV

Question 11

You want to confine an electron in a box (an infinite well) so that its ground state energy is 5.0 × 10-18 J. What should be the length of the box? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

Accepted Answer

A)  0.11 nm 
B)  0.22 nm 
C)  0.15 nm 
D)  0.18 nm 
A)  0.11 nm 
B)  0.22 nm 
C)  0.15 nm 
D)  0.18 nm

Question 12

An electron is in an infinite square well (a box) that is 2.0 nm wide. The electron makes a transition from the n = 8 to the n = 7 state, what is the wavelength of the emitted photon?(h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19)

Accepted Answer

A)  880 nm 
B)  750 nm 
C)  610 nm 
D)  1000 nm 
E)  1100 nm 
A)  880 nm 
B)  750 nm 
C)  610 nm 
D)  1000 nm 
E)  1100 nm

Question 13

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV. In a transition from the n = 2 state to the n = 4 state, a photon of energy

Accepted Answer

A)  3.40 eV is emitted. 
B)  3.40 eV is absorbed. 
C)  2.55 eV is emitted. 
D)  2.55 eV is absorbed. 
E)  0.85 eV is absorbed. 
A)  3.40 eV is emitted. 
B)  3.40 eV is absorbed. 
C)  2.55 eV is emitted. 
D)  2.55 eV is absorbed. 
E)  0.85 eV is absorbed.

Question 14

Light shines through atomic hydrogen gas. It is seen that the gas absorbs light readily at a wavelength of 91.63 nm. What is the value of n of the level to which the hydrogen is being excited by the absorption of light of this wavelength? Assume that the most of the atoms in the gas are in the lowest level. (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J, the Rydberg constant is R = 1.097 × 107 m-1)

Accepted Answer

A)  14 
B)  16 
C)  11 
D)  21 
A)  14 
B)  16 
C)  11 
D)  21

Exam 38: Quantization

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s)

A particle confined in a rigid one-dimensional box (an infinite well) of length 17.0 fm has an energy level En = 24.0 MeV and an adjacent energy level En+1 = 37.5 MeV. What is the value of the ground state energy? (1 eV = 1.60 × 10-19 J)

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength. Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of What is the work function of this metal? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13 J? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s)

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 104 m/s? (mproton = 1.67 × 10-27 kg, c = 3.00 × 108 m/s)

The smallest kinetic energy that an electron in a box (an infinite well) can have is zero.

A beam of red light and a beam of violet light each deliver the same power on a surface. For which beam is the number of photons hitting the surface per second the greatest?

An electron is bound in an infinite well (a box) of width 0.10 nm. If the electron is initially in the n = 8 state and falls to the n = 7 state, find the wavelength of the emitted photon. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

An electron is in the ground state of an infinite well (a box) where its energy is 5.00 eV. In the next higher level, what would its energy be? (1 eV = 1.60 × 10-19 J)

You want to confine an electron in a box (an infinite well) so that its ground state energy is 5.0 × 10-18 J. What should be the length of the box? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

An electron is in an infinite square well (a box) that is 2.0 nm wide. The electron makes a transition from the n = 8 to the n = 7 state, what is the wavelength of the emitted photon?(h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19)

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV. In a transition from the n = 2 state to the n = 4 state, a photon of energy

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What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 10⁷ m^-1,^c= 3.00 × 10⁸ m/s)

A particle confined in a rigid one-dimensional box (an infinite well) of length 17.0 fm has an energy level E_n = 24.0 MeV and an adjacent energy level E_n₊₁ = 37.5 MeV. What is the value of the ground state energy? (1 eV = 1.60 × 10^-19 J)

Upon being struck by 240-nm photons, a metal ejects electrons with a maximum kinetic energy of What is the work function of this metal? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-13 J? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 10⁴ m/s? (m_proton = 1.67 × 10^-27 kg, c = 3.00 × 10⁸ m/s)

An electron is bound in an infinite well (a box) of width 0.10 nm. If the electron is initially in the n = 8 state and falls to the n = 7 state, find the wavelength of the emitted photon. (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, m_el = 9.11 × 10^-³¹ kg)

An electron is in the ground state of an infinite well (a box) where its energy is 5.00 eV. In the next higher level, what would its energy be? (1 eV = 1.60 × 10^-19 J)

You want to confine an electron in a box (an infinite well) so that its ground state energy is 5.0 × 10^-18 J. What should be the length of the box? (h = 6.626 × 10^-34 J ∙ s, m_el = 9.11 × 10^-31 kg)

An electron is in an infinite square well (a box) that is 2.0 nm wide. The electron makes a transition from the n = 8 to the n = 7 state, what is the wavelength of the emitted photon?(h = 6.626 × 10^-34 J ∙ s, m_el = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19)