Question 1

The uncertainty in the position of a proton is 250 pm. Estimate the kinetic energy of the proton.

Accepted Answer

A)  1.3 × 10−23 eV  
B)  8.3 × 10−5 eV 
C)  0.013 eV 
D)  0.24 eV 
E)  100 MeV 
A)  1.3 × 10−23 eV  
B)  8.3 × 10−5 eV 
C)  0.013 eV 
D)  0.24 eV 
E)  100 MeV

Question 2

In the Bohr model of the hydrogen atom, how is the circumference C of the ground-state orbit of the electron related to the de Broglie wavelength λ of the electron?

Accepted Answer

A)  λ = C 
B)  λ = C/π 
C)  λ = C/2π 
D)  λ = πC 
E)  λ = 2πC 
A)  λ = C 
B)  λ = C/π 
C)  λ = C/2π 
D)  λ = πC 
E)  λ = 2πC

Question 3

If a solid has a half-filled valence band, which of the following would it be?

Accepted Answer

A)  a conductor 
B)  an insulator 
C)  a semiconductor 
D)  a p-type semiconductor 
E)  an n-type semiconductor 
A)  a conductor 
B)  an insulator 
C)  a semiconductor 
D)  a p-type semiconductor 
E)  an n-type semiconductor

Question 4

In a 3d subshell, what are the possible values for the orbital magnetic quantum number?

Accepted Answer

A)  3 
B)  3, −3 
C)  3, 2, 1, 0 
D)  2, 1, 0, −1, −2 
E)  2, −2 
A)  3 
B)  3, −3 
C)  3, 2, 1, 0 
D)  2, 1, 0, −1, −2 
E)  2, −2

Question 5

What accelerating potential in an electron microscope would give electrons a wavelength 1.00 × 10−10 m?

Accepted Answer

A)  37.5 V 
B)  75.0 V 
C)  150 V 
D)  300 V 
A)  37.5 V 
B)  75.0 V 
C)  150 V 
D)  300 V

Question 6

For the principal quantum number n = 5, what is the greatest number of values the spin magnetic quantum number can have?

Accepted Answer

A)  5 
B)  25 
C)  11 
D)  2 
E)  4 
A)  5 
B)  25 
C)  11 
D)  2 
E)  4

Question 7

For the first excited state (n = 2) of the particle in a box of width L, what is the approximate uncertainty in momentum?

Accepted Answer

A)  3h/L 
B)  2h/L 
C)  h/L 
D)  h/2L 
A)  3h/L 
B)  2h/L 
C)  h/L 
D)  h/2L

Question 8

Except for helium, the outer subshell of a noble gas has what electronic configuration?

Accepted Answer

A)  s2 
B)  p6 
C)  d10 
D)  p2 
E)  s1p4 
A)  s2 
B)  p6 
C)  d10 
D)  p2 
E)  s1p4

Question 9

Optical pumping of a ruby laser is achieved using photons of energy 2.25 eV. The laser light consists of photons of energy 1.79 eV, emitted in a transition that goes to ground. What is the energy of the transition from the pumped stated to the metastable state?

Accepted Answer

A)  2.25 eV 
B)  1.79 eV 
C)  4.04 eV 
D)  0.46 eV 
E)  1.30 eV 
A)  2.25 eV 
B)  1.79 eV 
C)  4.04 eV 
D)  0.46 eV 
E)  1.30 eV

Question 10

How many different spin orientations can an electron have in a given orbital?

Accepted Answer

A)  2 
B)  1 
C)  any number 
D)  4 
A)  2 
B)  1 
C)  any number 
D)  4

Question 11

The uncertainty in the position of a proton is 250 pm. Estimate the velocity of the proton.

Accepted Answer

A)  0.01 m/s 
B)  1.6 m/s 
C)  130 m/s 
D)  1.6 × 103 m/s 
E)  1.3 × 105 m/s 
A)  0.01 m/s 
B)  1.6 m/s 
C)  130 m/s 
D)  1.6 × 103 m/s 
E)  1.3 × 105 m/s

Question 12

You would like to use an electron microscope to study features of a virus that are about 0.25 nm in size. What accelerating voltage is needed for the electrons in this microscope?

Accepted Answer

A)  96 V 
B)  48 V 
C)  24 V 
D)  5 V 
A)  96 V 
B)  48 V 
C)  24 V 
D)  5 V

Question 13

If a string of length L, fixed at both ends, is made to resonate at its lowest possible frequency, what is the wavelength associated with that resonance?

Accepted Answer

A)  L 
B)  2L 
C)  L/2 
D)  0.707 L 
E)  1.414 L 
A)  L 
B)  2L 
C)  L/2 
D)  0.707 L 
E)  1.414 L

Question 14

What is the de Broglie wavelength of an electron in the n = 2 state of the hydrogen atom in the Bohr model?

Accepted Answer

A)  5.20 × 10−11 m 
B)  1.66 × 10−10 m 
C)  3.32 × 10−10 m 
D)  6.65 × 10−10 m 
E)  1.33 × 10−9 m 
A)  5.20 × 10−11 m 
B)  1.66 × 10−10 m 
C)  3.32 × 10−10 m 
D)  6.65 × 10−10 m 
E)  1.33 × 10−9 m

Question 15

A carbon dioxide laser emits photons of 10.6 μm wavelength. How many photons per second are emitted by a 10.0 kW CO2 laser?

Accepted Answer

A)  4.27 × 1021 
B)  5.39 × 1030 
C)  3.17 × 1018 
D)  5.34 × 1023 
E)  6.20 × 1023 
A)  4.27 × 1021 
B)  5.39 × 1030 
C)  3.17 × 1018 
D)  5.34 × 1023 
E)  6.20 × 1023

Question 16

In the Bohr model of hydrogen, what is the ratio of the de Broglie wavelength of the electron in the n = 4 state to the wavelength in the n = 1 state?

Accepted Answer

A)  1 
B)  2 
C)  4 
D)  16 
E)  0.25 
A)  1 
B)  2 
C)  4 
D)  16 
E)  0.25

Question 17

An atom has the configuration 1s22s22p63s23p64s23d10 in the ground state. What is its atomic number?

Accepted Answer

A)  10 
B)  18 
C)  20 
D)  30 
E)  More information is needed. 
A)  10 
B)  18 
C)  20 
D)  30 
E)  More information is needed.

Question 18

In the ground state of the hydrogen atom, the probability of finding the electron is maximum at what radius? Express your answer in terms of the Bohr radius a0.

Accepted Answer

A)  0.707 a0 
B)  a0 
C)  1.41 a0 
D)  2 a0 
E)  1.73 a0 
A)  0.707 a0 
B)  a0 
C)  1.41 a0 
D)  2 a0 
E)  1.73 a0

Question 19

Each element in a column of the periodic table

Accepted Answer

A)  has a similar size. 
B)  has similar nuclear properties. 
C)  has a similar electronic configuration. 
D)  has a similar nuclear charge. 
A)  has a similar size. 
B)  has similar nuclear properties. 
C)  has a similar electronic configuration. 
D)  has a similar nuclear charge.

Question 20

A bullet is fired from a rifle. The end of the barrel is a circular aperture. Is diffraction a measurable effect?

Accepted Answer

A)  Yes. 
B)  No, because only subatomic particles have de Broglie wavelengths. 
C)  No, because a circular aperture never causes diffraction. 
D)  No, because the de Broglie wavelength of the bullet is too large relative to the aperture. 
E)  No, because the de Broglie wavelength of the bullet is too small relative to the aperture. 
A)  Yes. 
B)  No, because only subatomic particles have de Broglie wavelengths. 
C)  No, because a circular aperture never causes diffraction. 
D)  No, because the de Broglie wavelength of the bullet is too large relative to the aperture. 
E)  No, because the de Broglie wavelength of the bullet is too small relative to the aperture.

Exam 28: Quantum Physics

The uncertainty in the position of a proton is 250 pm. Estimate the kinetic energy of the proton.

In the Bohr model of the hydrogen atom, how is the circumference C of the ground-state orbit of the electron related to the de Broglie wavelength λ of the electron?

If a solid has a half-filled valence band, which of the following would it be?

In a 3d subshell, what are the possible values for the orbital magnetic quantum number?

What accelerating potential in an electron microscope would give electrons a wavelength 1.00 × 10−10 m?

For the principal quantum number n = 5, what is the greatest number of values the spin magnetic quantum number can have?

For the first excited state (n = 2) of the particle in a box of width L, what is the approximate uncertainty in momentum?

Except for helium, the outer subshell of a noble gas has what electronic configuration?

Optical pumping of a ruby laser is achieved using photons of energy 2.25 eV. The laser light consists of photons of energy 1.79 eV, emitted in a transition that goes to ground. What is the energy of the transition from the pumped stated to the metastable state?

How many different spin orientations can an electron have in a given orbital?

The uncertainty in the position of a proton is 250 pm. Estimate the velocity of the proton.

You would like to use an electron microscope to study features of a virus that are about 0.25 nm in size. What accelerating voltage is needed for the electrons in this microscope?

If a string of length L, fixed at both ends, is made to resonate at its lowest possible frequency, what is the wavelength associated with that resonance?

What is the de Broglie wavelength of an electron in the n = 2 state of the hydrogen atom in the Bohr model?

A carbon dioxide laser emits photons of 10.6 μm wavelength. How many photons per second are emitted by a 10.0 kW CO2 laser?

In the Bohr model of hydrogen, what is the ratio of the de Broglie wavelength of the electron in the n = 4 state to the wavelength in the n = 1 state?

An atom has the configuration 1s22s22p63s23p64s23d10 in the ground state. What is its atomic number?

In the ground state of the hydrogen atom, the probability of finding the electron is maximum at what radius? Express your answer in terms of the Bohr radius a0.

Each element in a column of the periodic table

A bullet is fired from a rifle. The end of the barrel is a circular aperture. Is diffraction a measurable effect?

Introduction

Motion Along a Line

Motion in a Plane

Force and Newtons Laws of Motion

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Nuclear Physics

Particle Physics

Filters

What accelerating potential in an electron microscope would give electrons a wavelength 1.00 × 10⁻¹⁰ m?

A carbon dioxide laser emits photons of 10.6 μm wavelength. How many photons per second are emitted by a 10.0 kW CO₂ laser?

An atom has the configuration 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰ in the ground state. What is its atomic number?

In the ground state of the hydrogen atom, the probability of finding the electron is maximum at what radius? Express your answer in terms of the Bohr radius a₀.