Question 1

What is the momentum (in SI units) of a photon of wavelength $\lambda$ = 560 nm? (Planck's constant h = 6.626 *10-34 J·s.)

Accepted Answer

A)  3.7 *10-42 kg · m/s 
B)  8.4 * 10-25 kg · m/s 
C)  1.2 * 10-30 kg · m/s 
D)  1.2 *10-27 kg · m/s 
E)  3.6 * 10-27 kg · m/s 
A)  3.7 *10-42 kg · m/s 
B)  8.4 * 10-25 kg · m/s 
C)  1.2 * 10-30 kg · m/s 
D)  1.2 *10-27 kg · m/s 
E)  3.6 * 10-27 kg · m/s

Question 2

A gamma-ray photon of energy 800 keV scatters off an electron at an angle perpendicular to its original direction. It then scatters off a second electron such that this secondary scattered photon continues in the direction of the original photon. Calculate the difference in energy between the first and second recoiling electrons.

Accepted Answer

A)  606 keV 
B)  194 keV 
C)  488 keV 
D)  118 keV 
E)  370 keV 
A)  606 keV 
B)  194 keV 
C)  488 keV 
D)  118 keV 
E)  370 keV

Question 3

Electrons do not exhibit wave properties as readily as light because electrons typically have much __________ momenta than light and hence much __________ wavelengths.

Accepted Answer

A)  greater; longer 
B)  greater; shorter 
C)  lesser; longer 
D)  lesser; shorter 
E)  greater; the same 
A)  greater; longer 
B)  greater; shorter 
C)  lesser; longer 
D)  lesser; shorter 
E)  greater; the same

Question 4

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

Accepted Answer

A)  More than one possible orbit exists for the electron. 
B)  An infinite number of possible orbits exists for the electron. 
C)  Only certain energies are possible for the orbiting electron. 
D)  More than one momentum is possible for the orbiting electron. 
E)  None of these is correct. 
A)  More than one possible orbit exists for the electron. 
B)  An infinite number of possible orbits exists for the electron. 
C)  Only certain energies are possible for the orbiting electron. 
D)  More than one momentum is possible for the orbiting electron. 
E)  None of these is correct.

Question 5

The electron microscope is a welcome addition to the field of microscopy because electrons have a __________ wavelength than light, thereby increasing the __________ of the microscope.

Accepted Answer

A)  longer; resolving power 
B)  longer; breadth of field 
C)  shorter; resolving power 
D)  longer; intensity 
E)  None of these is correct. 
A)  longer; resolving power 
B)  longer; breadth of field 
C)  shorter; resolving power 
D)  longer; intensity 
E)  None of these is correct.

Question 6

In the Compton effect,

Accepted Answer

A)  an electron is stopped suddenly. 
B)  an X ray collides with an electron, the electron is ejected, and the X-ray photon ceases to exist. 
C)  a neutrino is produced in a nuclear decay. 
D)  an energetic photon collides with an electron, and both the electron and the photon are scattered. 
E)  None of these is correct. 
A)  an electron is stopped suddenly. 
B)  an X ray collides with an electron, the electron is ejected, and the X-ray photon ceases to exist. 
C)  a neutrino is produced in a nuclear decay. 
D)  an energetic photon collides with an electron, and both the electron and the photon are scattered. 
E)  None of these is correct.

Question 7

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

Accepted Answer

A)  The proton attracts the electron. 
B)  The proton forms the nucleus of the atom. 
C)  The electron orbits the proton. 
D)  The mass of the atom is less than the sum of the individual proton and electron masses. 
E)  The ground-state atom is stable to radiative collapse. 
A)  The proton attracts the electron. 
B)  The proton forms the nucleus of the atom. 
C)  The electron orbits the proton. 
D)  The mass of the atom is less than the sum of the individual proton and electron masses. 
E)  The ground-state atom is stable to radiative collapse.

Question 8

Use the following figure to answer the next questions.  
-The graphs show $\Psi$2 as a function of x for a particle in a one-dimensional box of length L. The graph that represents the ninth excited state is

Accepted Answer

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

Question 9

Suppose an electron is confined in a one-dimensional box of width L which is two times the Bohr's radius of 0.0529 nm. What is the wavelength of the photon when the electron makes a transition from n = 3 to the ground state?

Accepted Answer

A)  9.12 nm 
B)  4.61 nm 
C)  1.82 nm 
D)  2.28 nm 
E)  None of these is correct. 
A)  9.12 nm 
B)  4.61 nm 
C)  1.82 nm 
D)  2.28 nm 
E)  None of these is correct.

Question 10

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 4 cm. What is the probability density P(x)?

Accepted Answer

A)  P(x) = 1/(4 cm), 0  4 cm 
B)  P(x) = 1/(4 cm), x  4 cm
P(x) = 0, 0  4 cm 
D)  P(x) = 1/(4 cm), 0  4 cm 
E)  P(x) = 1/(2 cm), 0  4 cm 
A)  P(x) = 1/(4 cm), 0  4 cm 
B)  P(x) = 1/(4 cm), x  4 cm
P(x) = 0, 0  4 cm 
D)  P(x) = 1/(4 cm), 0  4 cm 
E)  P(x) = 1/(2 cm), 0  4 cm

Question 11

The wave function for electron waves is

Accepted Answer

A)  either the displacement of air molecules s, or the density $\rho$. 
B)  the wave function $\Psi$. 
C)  the electric field   . 
D)  the string displacement y. 
E)  None of these is correct. 
A)  either the displacement of air molecules s, or the density $\rho$. 
B)  the wave function $\Psi$. 
C)  the electric field   . 
D)  the string displacement y. 
E)  None of these is correct.

Question 12

A proton is in a one-dimensional box of length ~2 *10-15 m (i.e., ~ size of a nucleus). What is the magnitude of the change in energy for a transition between the second and first excited states?

Accepted Answer

A)  50 MeV 
B)  400 MeV 
C)  150 MeV 
D)  250 MeV 
E)  200 MeV 
A)  50 MeV 
B)  400 MeV 
C)  150 MeV 
D)  250 MeV 
E)  200 MeV

Question 13

The figure shows the wave functions for several stationary states of a particle in a one-dimensional box with the wall considered to be infinitely hard. The wave function that could not be representative of a particle in the one-dimensional box is

Accepted Answer

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

Question 14

The graph shows the kinetic energy of photoelectrons ejected from a certain metal as a function of the light incident upon the metal. The work function of this metal is

Accepted Answer

A)  33* 10-20 J 
B)  20 *10-20 J 
C)  10 * 10-20 J 
D)  5 * 10-20 J 
E)  None of these is correct. 
A)  33* 10-20 J 
B)  20 *10-20 J 
C)  10 * 10-20 J 
D)  5 * 10-20 J 
E)  None of these is correct.

Question 15

A mass of 0.500 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 5 N/m. When this oscillator makes a transition from its n = 3 state to its n = 2 state, the energy of the photon emitted is

Accepted Answer

A)  6.67* 10-34 J 
B)  1.33 *10-33 J 
C)  3.33 *10-34 J 
D)  1.00 * 10-33 J 
E)  None of these is correct. 
A)  6.67* 10-34 J 
B)  1.33 *10-33 J 
C)  3.33 *10-34 J 
D)  1.00 * 10-33 J 
E)  None of these is correct.

Question 16

If the frequency of light causing photoemission of electrons is doubled, the kinetic energy of the ejected electrons

Accepted Answer

A)  increases by a factor of   
B)  doubles. 
C)  decreases by a factor of 2. 
D)  increases by a factor less than two. 
E)  increases by a factor more than two. 
A)  increases by a factor of   
B)  doubles. 
C)  decreases by a factor of 2. 
D)  increases by a factor less than two. 
E)  increases by a factor more than two.

Question 17

The wavelength of blue light is closest to

Accepted Answer

A)  400 nm 
B)  500 nm 
C)  600 nm 
D)  700 nm 
E)  800 nm 
A)  400 nm 
B)  500 nm 
C)  600 nm 
D)  700 nm 
E)  800 nm

Question 18

The energy of the n = 1 level of hydrogen is -13.6 eV. The energy of the n = 4 level is

Accepted Answer

A)  -6.8 eV 
B)  -3.4 eV 
C)  -54.4 eV 
D)  -27.2 eV 
E)  -0.85 eV 
A)  -6.8 eV 
B)  -3.4 eV 
C)  -54.4 eV 
D)  -27.2 eV 
E)  -0.85 eV

Question 19

An electron (me = 9.11 *10-31 kg) traveling with a velocity of 5.50 *106 m/s has a
De Broglie wavelength of approximately

Accepted Answer

A)  0.0710 nm 
B)  0.130 nm 
C)  0.180 nm 
D)  0.230 nm 
E)  0.550 nm 
A)  0.0710 nm 
B)  0.130 nm 
C)  0.180 nm 
D)  0.230 nm 
E)  0.550 nm

Question 20

The wavelength of the electromagnetic radiation emitted when an electron confined to a box of length 0.200 nm makes a transition from the n = 3 to n = 1 level is approximately

Accepted Answer

A)  16 nm 
B)  46 nm 
C)  100 nm 
D)  210 nm 
E)  520 nm 
A)  16 nm 
B)  46 nm 
C)  100 nm 
D)  210 nm 
E)  520 nm

What is the momentum (in SI units) of a photon of wavelength $\lambda$ = 560 nm? (Planck's constant h = 6.626 *10^-34 J·s.)

Electrons do not exhibit wave properties as readily as light because electrons typically have much momenta than light and hence much wavelengths.

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

The electron microscope is a welcome addition to the field of microscopy because electrons have a wavelength than light, thereby increasing the of the microscope.

In the Compton effect,

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

Suppose an electron is confined in a one-dimensional box of width L which is two times the Bohr's radius of 0.0529 nm. What is the wavelength of the photon when the electron makes a transition from n = 3 to the ground state?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 4 cm. What is the probability density P(x)?

The wave function for electron waves is

A proton is in a one-dimensional box of length ~2 *10^-15 m (i.e., ~ size of a nucleus). What is the magnitude of the change in energy for a transition between the second and first excited states?

The figure shows the wave functions for several stationary states of a particle in a one-dimensional box with the wall considered to be infinitely hard. The wave function that could not be representative of a particle in the one-dimensional box is

The graph shows the kinetic energy of photoelectrons ejected from a certain metal as a function of the light incident upon the metal. The work function of this metal is

A mass of 0.500 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 5 N/m. When this oscillator makes a transition from its n = 3 state to its n = 2 state, the energy of the photon emitted is

If the frequency of light causing photoemission of electrons is doubled, the kinetic energy of the ejected electrons

The wavelength of blue light is closest to

The energy of the n = 1 level of hydrogen is -13.6 eV. The energy of the n = 4 level is

An electron (m_e = 9.11 10^-31 kg) traveling with a velocity of 5.50 10⁶ m/s has a De Broglie wavelength of approximately

The wavelength of the electromagnetic radiation emitted when an electron confined to a box of length 0.200 nm makes a transition from the n = 3 to n = 1 level is approximately

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

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Exam 14: Wave Particle Duality and Quantum Physics

What is the momentum (in SI units) of a photon of wavelength λ\lambdaλ = 560 nm? (Planck's constant h = 6.626 *10-34 J·s.)

Electrons do not exhibit wave properties as readily as light because electrons typically have much __________ momenta than light and hence much __________ wavelengths.

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

The electron microscope is a welcome addition to the field of microscopy because electrons have a __________ wavelength than light, thereby increasing the __________ of the microscope.

In the Compton effect,

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

Use the following figure to answer the next questions. -The graphs show Ψ\PsiΨ 2 as a function of x for a particle in a one-dimensional box of length L. The graph that represents the ninth excited state is

Suppose an electron is confined in a one-dimensional box of width L which is two times the Bohr's radius of 0.0529 nm. What is the wavelength of the photon when the electron makes a transition from n = 3 to the ground state?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 4 cm. What is the probability density P(x)?

The wave function for electron waves is

A proton is in a one-dimensional box of length ~2 *10-15 m (i.e., ~ size of a nucleus). What is the magnitude of the change in energy for a transition between the second and first excited states?

The figure shows the wave functions for several stationary states of a particle in a one-dimensional box with the wall considered to be infinitely hard. The wave function that could not be representative of a particle in the one-dimensional box is

The graph shows the kinetic energy of photoelectrons ejected from a certain metal as a function of the light incident upon the metal. The work function of this metal is

A mass of 0.500 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 5 N/m. When this oscillator makes a transition from its n = 3 state to its n = 2 state, the energy of the photon emitted is

If the frequency of light causing photoemission of electrons is doubled, the kinetic energy of the ejected electrons

The wavelength of blue light is closest to

The energy of the n = 1 level of hydrogen is -13.6 eV. The energy of the n = 4 level is

An electron (me = 9.11 *10-31 kg) traveling with a velocity of 5.50 *106 m/s has a De Broglie wavelength of approximately

The wavelength of the electromagnetic radiation emitted when an electron confined to a box of length 0.200 nm makes a transition from the n = 3 to n = 1 level is approximately

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Applications of the Schrodinger Equation

Atoms

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

What is the momentum (in SI units) of a photon of wavelength $\lambda$ = 560 nm? (Planck's constant h = 6.626 *10^-34 J·s.)

Electrons do not exhibit wave properties as readily as light because electrons typically have much momenta than light and hence much wavelengths.

The electron microscope is a welcome addition to the field of microscopy because electrons have a wavelength than light, thereby increasing the of the microscope.

A proton is in a one-dimensional box of length ~2 *10^-15 m (i.e., ~ size of a nucleus). What is the magnitude of the change in energy for a transition between the second and first excited states?

An electron (m_e = 9.11 10^-31 kg) traveling with a velocity of 5.50 10⁶ m/s has a De Broglie wavelength of approximately