Question 1

The wave function for electromagnetic 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. C

Question 2

An electron in the hydrogen atom (ground-state energy = -13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

Accepted Answer

A)  12.1, emitted 
B)  109 eV, emitted 
C)  109 eV, absorbed 
D)  12.1 eV, absorbed 
E)  15.2 eV, absorbed 
A)  12.1, emitted 
B)  109 eV, emitted 
C)  109 eV, absorbed 
D)  12.1 eV, absorbed 
E)  15.2 eV, absorbed A

Question 3

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 of finding the particle at x = 1 cm?

Accepted Answer

A)  1/(4 cm) 
B)  0 
C)  1/(2 cm) 
D)  4 cm-1  
E)  2 cm-1  
A)  1/(4 cm) 
B)  0 
C)  1/(2 cm) 
D)  4 cm-1  
E)  2 cm-1  B

Question 4

Which of the following statements is/are true?

Accepted Answer

A)  Nothing can be both a classical particle and a classical wave at the same time. 
B)  Everything propagates like a wave and exchanges energy like a particle. 
C)  A classical particle behaves like a piece of shot. 
D)  An electron propagates through double slits like a wave but interacts with the screen at a single point like a particle. 
E)  All of these statements are true. 
A)  Nothing can be both a classical particle and a classical wave at the same time. 
B)  Everything propagates like a wave and exchanges energy like a particle. 
C)  A classical particle behaves like a piece of shot. 
D)  An electron propagates through double slits like a wave but interacts with the screen at a single point like a particle. 
E)  All of these statements are true.

Question 5

Use the following figure for the next two questions.   Apparatus for studying the photoelectric effect
-The work function of the material being investigated is 3.8 * 10-19 J. Light of a wavelength 350 nm is incident on the material. What is the lowest voltage needed between the cathode (C) and the anode (A) to stop any electrons ejected from the cathode from reaching the anode?

Accepted Answer

A)  2.37 V 
B)  1.17 V 
C)  3.54 V 
D)  4.71 V 
E)  None of these is correct. 
A)  2.37 V 
B)  1.17 V 
C)  3.54 V 
D)  4.71 V 
E)  None of these is correct.

Question 6

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 *1026 W and assume that the average wavelength of each photon is 550 nm.

Accepted Answer

A)  1026 
B)  1045 
C)  1023 
D)  1028 
E)  none of the above 
A)  1026 
B)  1045 
C)  1023 
D)  1028 
E)  none of the above

Question 7

A particle is in the ground state of an infinite square-well potential. The probability of finding the particle in $\Delta$x = 0.01L at x = L/4 is

Accepted Answer

A)  0.020 
B)  0.015 
C)  0.025 
D)  0.030 
E)  0.010 
A)  0.020 
B)  0.015 
C)  0.025 
D)  0.030 
E)  0.010

Question 8

The work function for tungsten is 4.58 eV. What is the kinetic energy of electrons emitted when light of wavelength 400 nm is incident on a tungsten surface? (Planck's constant h = 6.626 * 10-34 J · s = 4.136 * 10-15 eV · s.)

Accepted Answer

A)  0.74 eV 
B)  1.5 eV 
C)  7.7 eV 
D)  2.9 eV 
E)  no electrons are emitted 
A)  0.74 eV 
B)  1.5 eV 
C)  7.7 eV 
D)  2.9 eV 
E)  no electrons are emitted

Question 9

The quantum theory suggests that the stable orbits of electrons around a nucleus correspond to standing waves for the orbit. For a hydrogen atom, the radius of the ground state or the first orbit is the Bohr's radius, 0.0529 nm. What is the wavelength of the ground state of the hydrogen atom?

Accepted Answer

A)  0.0529 nm 
B)  0.1058 nm 
C)  0.3324 nm 
D)  0.1587 nm 
E)  zero 
A)  0.0529 nm 
B)  0.1058 nm 
C)  0.3324 nm 
D)  0.1587 nm 
E)  zero

Question 10

An electron that is not localized in space is described by the wave function
$\Psi$ = A sin(kx - $ \omega $t). The kinetic energy of the electron is 10 keV. The value of k is approximately

Accepted Answer

A)  1.6 *10-11 m-1  
B)  3.2 * 1013 m-1  
C)  1.6 * 1011 m-1  
D)  3.2 *1011 m-1  
E)  5.1 * 1011 m-1  
A)  1.6 *10-11 m-1  
B)  3.2 * 1013 m-1  
C)  1.6 * 1011 m-1  
D)  3.2 *1011 m-1  
E)  5.1 * 1011 m-1

Question 11

The uncertainty principle states that

Accepted Answer

A)  only momentum and velocity can be described with unlimited precision. 
B)  the displacement of a particle can be described with unlimited precision by using quantum mechanics. 
C)  nothing is smaller than Planck's constant. 
D)  the momentum and displacement cannot be measured simultaneously with unlimited accuracy. 
E)  either the momentum or the velocity, but not both, can be measured with unlimited accuracy. 
A)  only momentum and velocity can be described with unlimited precision. 
B)  the displacement of a particle can be described with unlimited precision by using quantum mechanics. 
C)  nothing is smaller than Planck's constant. 
D)  the momentum and displacement cannot be measured simultaneously with unlimited accuracy. 
E)  either the momentum or the velocity, but not both, can be measured with unlimited accuracy.

Question 12

When a certain X ray is Compton scattered at right angles to its initial direction, the shift in its wavelength is $\lambda$c = 2.4 pm (1 picometer = 10-12 m). If the wavelength of this X ray is 15.4 pm, the wavelength of the scattered X ray must be closest to

Accepted Answer

A)  2.4 pm 
B)  0.15 pm 
C)  18 pm 
D)  13 pm 
E)  170 pm 
A)  2.4 pm 
B)  0.15 pm 
C)  18 pm 
D)  13 pm 
E)  170 pm

Question 13

In Compton scattering of X rays by electrons, the maximum shift in the X-ray wavelength occurs when the scattering angle is

Accepted Answer

A)  180º 
B)  135º 
C)  90º 
D)  45º 
E)  0º 
A)  180º 
B)  135º 
C)  90º 
D)  45º 
E)  0º

Question 14

A marble of mass 20 g is in a box of length 5.0 cm. The difference between the energies of the two lowest energy states allowed for this marble is approximately

Accepted Answer

A)  3.5 * 10-64 J 
B)  3.3* 10-63 J 
C)  1.4 * 10-63 J 
D)  1.0 * 10-65 J 
E)  3.5 * 10-68 J 
A)  3.5 * 10-64 J 
B)  3.3* 10-63 J 
C)  1.4 * 10-63 J 
D)  1.0 * 10-65 J 
E)  3.5 * 10-68 J

Question 15

Use the following figure for the next two problems.  
-The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV. The wavelength of the electrons is

Accepted Answer

A)  2.14 nm 
B)  3.88 pm 
C)  4.87 nm 
D)  12.4 pm 
E)  6.87 nm 
A)  2.14 nm 
B)  3.88 pm 
C)  4.87 nm 
D)  12.4 pm 
E)  6.87 nm

Question 16

An electron is in a one-dimensional box of length 0.5 nm. The energy of this electron in its second excited state is

Accepted Answer

A)  37.6 eV 
B)  27.4 eV 
C)  13.5 eV 
D)  6.02 eV 
E)  1.50 eV 
A)  37.6 eV 
B)  27.4 eV 
C)  13.5 eV 
D)  6.02 eV 
E)  1.50 eV

Question 17

The velocity of escape of photoelectrons

Accepted Answer

A)  increases with increasing frequency of the incident light. 
B)  decreases with increasing frequency of the incident light. 
C)  is independent of the frequency of the incident light. 
D)  is directly proportional to the intensity of the incident light. 
E)  depends only on the intensity of the incident light. 
A)  increases with increasing frequency of the incident light. 
B)  decreases with increasing frequency of the incident light. 
C)  is independent of the frequency of the incident light. 
D)  is directly proportional to the intensity of the incident light. 
E)  depends only on the intensity of the incident light.

Question 18

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength $\lambda$, then the de Broglie wavelength of the proton is

Accepted Answer

A)  $\lambda$ 
B)  5$\lambda$ 
C)  $\lambda$/5 
D)  25$\lambda$ 
E)  $\lambda$/25 
A)  $\lambda$ 
B)  5$\lambda$ 
C)  $\lambda$/5 
D)  25$\lambda$ 
E)  $\lambda$/25

Question 19

Which of the following experiment(s) illustrates the particle nature of light?

Accepted Answer

A)  Young's double slit experiment 
B)  the photoelectric effect 
C)  Compton scattering 
D)  (
A)  and (
B)  
E)  (
B)  and (
C)  
A)  Young's double slit experiment 
B)  the photoelectric effect 
C)  Compton scattering 
D)  (
A)  and (
B)  
E)  (
B)  and (
C)

Question 20

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 10 cm. What is the probability of finding the particle between
X = 4.0 cm and x = 5 cm?

Accepted Answer

A)  0.01 
B)  0.04 
C)  0.07 
D)  0.10 
E)  0.14 
A)  0.01 
B)  0.04 
C)  0.07 
D)  0.10 
E)  0.14

The wave function for electromagnetic waves is

An electron in the hydrogen atom (ground-state energy = -13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

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 of finding the particle at x = 1 cm?

Which of the following statements is/are true?

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 *10²⁶ W and assume that the average wavelength of each photon is 550 nm.

A particle is in the ground state of an infinite square-well potential. The probability of finding the particle in $\Delta$ x = 0.01L at x = L/4 is

The work function for tungsten is 4.58 eV. What is the kinetic energy of electrons emitted when light of wavelength 400 nm is incident on a tungsten surface? (Planck's constant h = 6.626 * 10^-34 J · s = 4.136 * 10^-15 eV · s.)

The quantum theory suggests that the stable orbits of electrons around a nucleus correspond to standing waves for the orbit. For a hydrogen atom, the radius of the ground state or the first orbit is the Bohr's radius, 0.0529 nm. What is the wavelength of the ground state of the hydrogen atom?

An electron that is not localized in space is described by the wave function $\Psi$ = A sin(kx - $\omega$ t). The kinetic energy of the electron is 10 keV. The value of k is approximately

The uncertainty principle states that

When a certain X ray is Compton scattered at right angles to its initial direction, the shift in its wavelength is $\lambda$ _c = 2.4 pm (1 picometer = 10^-12 m). If the wavelength of this X ray is 15.4 pm, the wavelength of the scattered X ray must be closest to

In Compton scattering of X rays by electrons, the maximum shift in the X-ray wavelength occurs when the scattering angle is

A marble of mass 20 g is in a box of length 5.0 cm. The difference between the energies of the two lowest energy states allowed for this marble is approximately

Use the following figure for the next two problems. -The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV. The wavelength of the electrons is

An electron is in a one-dimensional box of length 0.5 nm. The energy of this electron in its second excited state is

The velocity of escape of photoelectrons

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength $\lambda$ , then the de Broglie wavelength of the proton is

Which of the following experiment(s) illustrates the particle nature of light?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 10 cm. What is the probability of finding the particle between X = 4.0 cm and x = 5 cm?

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

Exam 14: Wave Particle Duality and Quantum Physics

The wave function for electromagnetic waves is

An electron in the hydrogen atom (ground-state energy = -13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

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 of finding the particle at x = 1 cm?

Which of the following statements is/are true?

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 *1026 W and assume that the average wavelength of each photon is 550 nm.

A particle is in the ground state of an infinite square-well potential. The probability of finding the particle in Δ\DeltaΔ x = 0.01L at x = L/4 is

The work function for tungsten is 4.58 eV. What is the kinetic energy of electrons emitted when light of wavelength 400 nm is incident on a tungsten surface? (Planck's constant h = 6.626 * 10-34 J · s = 4.136 * 10-15 eV · s.)

The quantum theory suggests that the stable orbits of electrons around a nucleus correspond to standing waves for the orbit. For a hydrogen atom, the radius of the ground state or the first orbit is the Bohr's radius, 0.0529 nm. What is the wavelength of the ground state of the hydrogen atom?

An electron that is not localized in space is described by the wave function Ψ\PsiΨ = A sin(kx - ω \omega ω t). The kinetic energy of the electron is 10 keV. The value of k is approximately

The uncertainty principle states that

When a certain X ray is Compton scattered at right angles to its initial direction, the shift in its wavelength is λ\lambdaλ c = 2.4 pm (1 picometer = 10-12 m). If the wavelength of this X ray is 15.4 pm, the wavelength of the scattered X ray must be closest to

In Compton scattering of X rays by electrons, the maximum shift in the X-ray wavelength occurs when the scattering angle is

A marble of mass 20 g is in a box of length 5.0 cm. The difference between the energies of the two lowest energy states allowed for this marble is approximately

Use the following figure for the next two problems. -The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV. The wavelength of the electrons is

An electron is in a one-dimensional box of length 0.5 nm. The energy of this electron in its second excited state is

The velocity of escape of photoelectrons

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength λ\lambdaλ , then the de Broglie wavelength of the proton is

Which of the following experiment(s) illustrates the particle nature of light?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 10 cm. What is the probability of finding the particle between X = 4.0 cm and x = 5 cm?

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

Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 *10²⁶ W and assume that the average wavelength of each photon is 550 nm.

A particle is in the ground state of an infinite square-well potential. The probability of finding the particle in $\Delta$ x = 0.01L at x = L/4 is

The work function for tungsten is 4.58 eV. What is the kinetic energy of electrons emitted when light of wavelength 400 nm is incident on a tungsten surface? (Planck's constant h = 6.626 * 10^-34 J · s = 4.136 * 10^-15 eV · s.)

An electron that is not localized in space is described by the wave function $\Psi$ = A sin(kx - $\omega$ t). The kinetic energy of the electron is 10 keV. The value of k is approximately

When a certain X ray is Compton scattered at right angles to its initial direction, the shift in its wavelength is $\lambda$ _c = 2.4 pm (1 picometer = 10^-12 m). If the wavelength of this X ray is 15.4 pm, the wavelength of the scattered X ray must be closest to

A proton has five times the momentum of an electron. If the electron has a de Broglie wavelength $\lambda$ , then the de Broglie wavelength of the proton is