Question 1

A particle with mass and nonzero kinetic energy will

Accepted Answer

A)  always have the same wavelength as a photon with the same kinetic energy. 
B)  always have a greater wavelength than a photon with the same kinetic energy. 
C)  always have a shorter wavelength than a photon with the same kinetic energy. 
D)  sometimes have a greater wavelength than a photon with the same kinetic energy. 
E)  sometimes have a shorter wavelength than a photon with the same kinetic energy. 
A)  always have the same wavelength as a photon with the same kinetic energy. 
B)  always have a greater wavelength than a photon with the same kinetic energy. 
C)  always have a shorter wavelength than a photon with the same kinetic energy. 
D)  sometimes have a greater wavelength than a photon with the same kinetic energy. 
E)  sometimes have a shorter wavelength than a photon with the same kinetic energy. C

Question 2

What is the full multiplicity (number of states) of the n = 3 level of the H atom?

Accepted Answer

A)  18 
B)  30 
C)  16 
D)  32 
E)  9 
A)  18 
B)  30 
C)  16 
D)  32 
E)  9 A

Question 3

If an electron is accelerated from rest through a potential difference of 100 V, what is its de Broglie wavelength?

Accepted Answer

A)  2.55 × 10−9 m 
B)  1.23 × 10−10 m 
C)  0.529 × 10−10 m 
D)  8.67 × 10−9 m 
E)  1.20 × 10−15 m 
A)  2.55 × 10−9 m 
B)  1.23 × 10−10 m 
C)  0.529 × 10−10 m 
D)  8.67 × 10−9 m 
E)  1.20 × 10−15 m B

Question 4

What is the orbital angular momentum quantum number for a d subshell?

Accepted Answer

A)  10 
B)  7 
C)  4 
D)  3 
E)  2 
A)  10 
B)  7 
C)  4 
D)  3 
E)  2

Question 5

In the He-Ne laser, the lasing transition goes from the metastable 20.66 eV state in Ne to a lower-energy state. The wavelength of the laser photons is 633.0 nm. What is the energy of the lower state of the lasing transition?

Accepted Answer

A)  0 
B)  4.660 eV 
C)  13.61 eV 
D)  18.70 eV 
E)  20.61 eV 
A)  0 
B)  4.660 eV 
C)  13.61 eV 
D)  18.70 eV 
E)  20.61 eV

Question 6

What is the de Broglie wavelength of an electron with kinetic energy 1.60 × 10−15 J?

Accepted Answer

A)  61.2 nm 
B)  612 nm 
C)  1.20 fm 
D)  13.7 pm 
E)  12.3 pm 
A)  61.2 nm 
B)  612 nm 
C)  1.20 fm 
D)  13.7 pm 
E)  12.3 pm

Question 7

What is the energy of a photon that has the same wavelength as an electron with kinetic energy 1.60 × 10−15 J?

Accepted Answer

A)  10.0 keV 
B)  101 keV 
C)  55.3 keV 
D)  5.53 keV 
E)  6.77 keV 
A)  10.0 keV 
B)  101 keV 
C)  55.3 keV 
D)  5.53 keV 
E)  6.77 keV

Question 8

What letter stands for a subshell with orbital angular momentum quantum number 5?

Accepted Answer

A)  h 
B)  g 
C)  f 
D)  d 
E)  p 
A)  h 
B)  g 
C)  f 
D)  d 
E)  p

Question 9

For an orbital angular momentum quantum number of 4, what is the magnitude of the orbital angular momentum?

Accepted Answer

A)  4ℏ 
B)  3ℏ 
C)  61/2ℏ 
D)  121/2ℏ 
E)  201/2ℏ 
A)  4ℏ 
B)  3ℏ 
C)  61/2ℏ 
D)  121/2ℏ 
E)  201/2ℏ

Question 10

What is the approximate average thermal energy of an electron in a solid at room temperature?

Accepted Answer

A)  0.00 
B)  0.0010 eV 
C)  0.025 eV 
D)  27 eV 
E)  1.0 keV 
A)  0.00 
B)  0.0010 eV 
C)  0.025 eV 
D)  27 eV 
E)  1.0 keV

Question 11

For a particle in a finite box, which of the following is false?

Accepted Answer

A)  The energies are quantized for bound states. 
B)  The bound-state wave functions at the walls do not have to be zero. 
C)  The wave function can exist outside the walls. 
D)  There are the same number of bound states in a finite box as in a box with infinite walls. 
A)  The energies are quantized for bound states. 
B)  The bound-state wave functions at the walls do not have to be zero. 
C)  The wave function can exist outside the walls. 
D)  There are the same number of bound states in a finite box as in a box with infinite walls.

Question 12

A situation known as "population inversion" is needed for lasing action. What does "population inversion" mean?

Accepted Answer

A)  Electrons in the ms = 1/2 state switch to −1/2 and vice versa. 
B)  Excited atoms must be at the top of the laser tube. 
C)  Excited atoms must be at the bottom of the laser tube. 
D)  More atoms are in the higher-energy state than the lower-energy state. 
E)  More atoms are in the lower-energy state than the higher-energy state. 
A)  Electrons in the ms = 1/2 state switch to −1/2 and vice versa. 
B)  Excited atoms must be at the top of the laser tube. 
C)  Excited atoms must be at the bottom of the laser tube. 
D)  More atoms are in the higher-energy state than the lower-energy state. 
E)  More atoms are in the lower-energy state than the higher-energy state.

Question 13

A baseball has a mass of 0.15 kg. If pitched at 40.0 m/s with a relative uncertainty of 1%, how uncertain is its position?

Accepted Answer

A)  8.8 × 10−34 m 
B)  1.1 × 10−34 m 
C)  1.8 × 10−33m 
D)  1.1 × 10−32m 
A)  8.8 × 10−34 m 
B)  1.1 × 10−34 m 
C)  1.8 × 10−33m 
D)  1.1 × 10−32m

Question 14

If a particle in a box has a ground-state energy of 10.0 eV, what is the energy of the fourth excited state?

Accepted Answer

A)  20.0 eV 
B)  40.0 eV 
C)  160 eV 
D)  50.0 eV 
E)  250 eV 
A)  20.0 eV 
B)  40.0 eV 
C)  160 eV 
D)  50.0 eV 
E)  250 eV

Question 15

How many quantum numbers are required to specify the state of the electron in the hydrogen atom?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 16

The probability of finding a particle with wave function ψ in an interval ∆x is given by

Accepted Answer

A)  ψ. 
B)  ψ ∆x. 
C)  |ψ| (∆x)2. 
D)  |ψ2| ∆x. 
E)  |ψ2| (∆x)2. 
A)  ψ. 
B)  ψ ∆x. 
C)  |ψ| (∆x)2. 
D)  |ψ2| ∆x. 
E)  |ψ2| (∆x)2.

Question 17

How do the energy-level spacings for a particle in a box change when the box is made longer?

Accepted Answer

A)  decrease 
B)  stay the same 
C)  increase 
D)  not enough information 
A)  decrease 
B)  stay the same 
C)  increase 
D)  not enough information

Question 18

Considering only the limitations of diffraction, what is the smallest structure resolvable using a 12 keV electron microscope?

Accepted Answer

A)  3.4 × 10−19 m 
B)  1.1 × 10−11 m 
C)  1.8 × 10−4 m 
D)  10 cm 
A)  3.4 × 10−19 m 
B)  1.1 × 10−11 m 
C)  1.8 × 10−4 m 
D)  10 cm

Question 19

As the principal quantum number of the hydrogen atom increases, what happens to the spacing between adjacent energy levels?

Accepted Answer

A)  It decreases. 
B)  It increases. 
C)  It stays the same. 
A)  It decreases. 
B)  It increases. 
C)  It stays the same.

Question 20

For the principal quantum number n = 4, how many values can the orbital angular momentum quantum number have?

Accepted Answer

A)  9 
B)  5 
C)  4 
D)  3 
E)  32 
A)  9 
B)  5 
C)  4 
D)  3 
E)  32

Exam 28: Quantum Physics

A particle with mass and nonzero kinetic energy will

What is the full multiplicity (number of states) of the n = 3 level of the H atom?

If an electron is accelerated from rest through a potential difference of 100 V, what is its de Broglie wavelength?

What is the orbital angular momentum quantum number for a d subshell?

In the He-Ne laser, the lasing transition goes from the metastable 20.66 eV state in Ne to a lower-energy state. The wavelength of the laser photons is 633.0 nm. What is the energy of the lower state of the lasing transition?

What is the de Broglie wavelength of an electron with kinetic energy 1.60 × 10−15 J?

What is the energy of a photon that has the same wavelength as an electron with kinetic energy 1.60 × 10−15 J?

What letter stands for a subshell with orbital angular momentum quantum number 5?

For an orbital angular momentum quantum number of 4, what is the magnitude of the orbital angular momentum?

What is the approximate average thermal energy of an electron in a solid at room temperature?

For a particle in a finite box, which of the following is false?

A situation known as "population inversion" is needed for lasing action. What does "population inversion" mean?

A baseball has a mass of 0.15 kg. If pitched at 40.0 m/s with a relative uncertainty of 1%, how uncertain is its position?

If a particle in a box has a ground-state energy of 10.0 eV, what is the energy of the fourth excited state?

How many quantum numbers are required to specify the state of the electron in the hydrogen atom?

The probability of finding a particle with wave function ψ in an interval ∆x is given by

How do the energy-level spacings for a particle in a box change when the box is made longer?

Considering only the limitations of diffraction, what is the smallest structure resolvable using a 12 keV electron microscope?

As the principal quantum number of the hydrogen atom increases, what happens to the spacing between adjacent energy levels?

For the principal quantum number n = 4, how many values can the orbital angular momentum quantum number have?

Introduction

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Force and Newtons Laws of Motion

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Conservation of Energy

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Alternating Current

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Reflection and Refraction of Light

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Relativity

Early Quantum Physics and the Photon

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Filters

What is the de Broglie wavelength of an electron with kinetic energy 1.60 × 10⁻¹⁵ J?

What is the energy of a photon that has the same wavelength as an electron with kinetic energy 1.60 × 10⁻¹⁵ J?