Question 1

The maximum kinetic energy of photoelectrons produced in the photoelectric effect depends directly on the

Accepted Answer

A) frequency of the incident photons. 
B) intensity of the incident photons. 
C) area of the metal surface from which the photoelectrons are released. 
D) thickness of the metal. 
E) photoelectric current. 
A) frequency of the incident photons. 
B) intensity of the incident photons. 
C) area of the metal surface from which the photoelectrons are released. 
D) thickness of the metal. 
E) photoelectric current.

Question 2

The dissociation energy is the energy required to separate the two atoms in a diatomic molecule in their ground-state.If the dissociation energy of molecular oxygen is 7.2 eV,then calculate the maximum wavelength of light from the Sun that can break apart atmospheric O2.

Accepted Answer

A) 1.7 $\times$ 10-7 nm 
B) 1.7 $\times$ 10-8 m 
C) 1.7 $\times$ 10-9 m 
D) 1.7 $\times$ 10-7 m 
E) 1.7 $\times$ 102 m 
A) 1.7 $\times$ 10-7 nm 
B) 1.7 $\times$ 10-8 m 
C) 1.7 $\times$ 10-9 m 
D) 1.7 $\times$ 10-7 m 
E) 1.7 $\times$ 102 m

Question 3

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 4

The ground-state energy of hydrogen is -13.6 eV.The difference in energy between the n = 3 and n = 4 levels (magnitude only)is

Accepted Answer

A) 1.1 eV 
B) 0.88 eV 
C) 0.66 eV 
D) 1.5 eV 
E) 0.33 eV 
A) 1.1 eV 
B) 0.88 eV 
C) 0.66 eV 
D) 1.5 eV 
E) 0.33 eV

Question 5

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 $\times$ 10-34 J · s = 4.136 $\times$ 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 6

An electron has a kinetic energy of 1.5 eV.If its momentum is uncertain by ± 2.5%,the minimum uncertainty in its position is approximately

Accepted Answer

A) 3.2 nm 
B) 5.0 nm 
C) 1.0 nm 
D) 2.2 nm 
E) 1.6 nm 
A) 3.2 nm 
B) 5.0 nm 
C) 1.0 nm 
D) 2.2 nm 
E) 1.6 nm

Question 7

An electron is confined to a region of space of length L = 0.2 nm.Its minimum kinetic energy,assuming that p = $\Delta$p,is approximately

Accepted Answer

A) 1.5 $\times$ 105 J 
B) 5.7 $\times$ 10-20 J 
C) 3.8 $\times$ 10-20 J 
D) 3.8 $\times$ 10-23 J 
E) 7.4 $\times$ 10-24 J 
A) 1.5 $\times$ 105 J 
B) 5.7 $\times$ 10-20 J 
C) 3.8 $\times$ 10-20 J 
D) 3.8 $\times$ 10-23 J 
E) 7.4 $\times$ 10-24 J

Question 8

You want to make simultaneous measurements of the position and velocity of an electron that is moving in the positive-x direction.If the velocity is measured to an accuracy of 10-7 m/s,the limit of accuracy with which you can locate the electron is approximately

Accepted Answer

A) zero 
B) 6.6 $\times$ 10-27 m 
C) 4.0 m 
D) 7.3 km 
E) 4.0 mm 
A) zero 
B) 6.6 $\times$ 10-27 m 
C) 4.0 m 
D) 7.3 km 
E) 4.0 mm

Question 9

What is the momentum (in SI units)of a photon of wavelength $\lambda$= 410 nm? (Planck's constant h = 6.626 $\times$ 10-34 J·s)

Accepted Answer

A) 1.62 $\times$ 10-27 kg m/s 
B) 2.45 $\times$ 10-27 kg m/s 
C) 3.23 $\times$ 10-27 kg m/s 
D) 4.67 $\times$ 10-27 kg m/s 
E) 5.29 $\times$ 10-27 kg m/s 
A) 1.62 $\times$ 10-27 kg m/s 
B) 2.45 $\times$ 10-27 kg m/s 
C) 3.23 $\times$ 10-27 kg m/s 
D) 4.67 $\times$ 10-27 kg m/s 
E) 5.29 $\times$ 10-27 kg m/s

Question 10

Light falling on the surface of a metal such as cesium can liberate electrons from the metal.The kinetic energy of electrons emitted from a metal can be increased by

Accepted Answer

A) using light of higher frequency. 
B) using light of lower frequency. 
C) increasing the intensity of the incident light. 
D) using a metal with a greater work function. 
E) None of these is correct. 
A) using light of higher frequency. 
B) using light of lower frequency. 
C) increasing the intensity of the incident light. 
D) using a metal with a greater work function. 
E) None of these is correct.

Question 11

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 between x = 3 cm and x = 3.4 cm?

Accepted Answer

A) 1 
B) 0 
C) 0.1 
D) 4 
E) 0.2 
A) 1 
B) 0 
C) 0.1 
D) 4 
E) 0.2

Question 12

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 13

In a photoelectric experiment,the threshold frequency for a material is 3.2 $\times$ 1014 Hz.An electron ejected from this surface by a photon of frequency 9.4 $\times$ 1014 Hz can be stopped by a stopping potential of

Accepted Answer

A) 8.5 mV 
B) 1.6 V 
C) 0.26 nV 
D) 2.6 V 
E) 3.6 kV 
A) 8.5 mV 
B) 1.6 V 
C) 0.26 nV 
D) 2.6 V 
E) 3.6 kV

Question 14

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 15

The energy of the electron in a hydrogen atom in the ground state is -13.6 eV.If the potential is modeled like a one-dimensional box,the width of the box is

Accepted Answer

A) 0.0529 nm 
B) 0.523 nm 
C) 0.324 nm 
D) 0.166 nm 
E) None of these is correct. 
A) 0.0529 nm 
B) 0.523 nm 
C) 0.324 nm 
D) 0.166 nm 
E) None of these is correct.

Question 16

For an electron to have a de Broglie wavelength of 0.10 nm it must be accelerated through a potential difference of

Accepted Answer

A) 1.0 V 
B) 0.51 MV 
C) 0.15 kV 
D) 5 kV 
E) 0.94 kV 
A) 1.0 V 
B) 0.51 MV 
C) 0.15 kV 
D) 5 kV 
E) 0.94 kV

Question 17

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 18

Which of the following particles has the longest wavelength?

Accepted Answer

A) a photon with a frequency of 3 $\times$ 1019 Hz 
B) a photon with an energy of 2 $\times$ 10-13 J 
C) an electron with a momentum of 6.6 $\times$ 10-21 kg · m/s 
D) a proton with a momentum of 6.6 $\times$ 10-21 kg · m/s 
E) all four have the same wavelength 
A) a photon with a frequency of 3 $\times$ 1019 Hz 
B) a photon with an energy of 2 $\times$ 10-13 J 
C) an electron with a momentum of 6.6 $\times$ 10-21 kg · m/s 
D) a proton with a momentum of 6.6 $\times$ 10-21 kg · m/s 
E) all four have the same wavelength

Question 19

Which of the following statements concerning particles and waves is/are correct?

Accepted Answer

A) Uncharged particles travel in straight lines until they collide with something. 
B) When two particles meet in space,they never produce an interference pattern. 
C) When a large number of small particles exchange a small amount of energy,the exchange cannot be distinguished from that of a wave. 
D) When two waves of equal intensity and originating from coherent sources meet in space,the resulting wave can have an intensity anywhere from zero to four times the intensity of each of the original waves. 
E) All of the above are correct. 
A) Uncharged particles travel in straight lines until they collide with something. 
B) When two particles meet in space,they never produce an interference pattern. 
C) When a large number of small particles exchange a small amount of energy,the exchange cannot be distinguished from that of a wave. 
D) When two waves of equal intensity and originating from coherent sources meet in space,the resulting wave can have an intensity anywhere from zero to four times the intensity of each of the original waves. 
E) All of the above are correct.

Question 20

Use the following figure to answer question.  
-The graphs show $\varPsi$2 as a function of x for a particle in a one-dimensional box of length L.The graph that represents the third 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

Exam 34: Wave Particle Duality and Quantum Physics

The maximum kinetic energy of photoelectrons produced in the photoelectric effect depends directly on the

The dissociation energy is the energy required to separate the two atoms in a diatomic molecule in their ground-state.If the dissociation energy of molecular oxygen is 7.2 eV,then calculate the maximum wavelength of light from the Sun that can break apart atmospheric O2.

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

The ground-state energy of hydrogen is -13.6 eV.The difference in energy between the n = 3 and n = 4 levels (magnitude only)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 ×\times× 10-34 J · s = 4.136 ×\times× 10-15 eV · s.)

An electron has a kinetic energy of 1.5 eV.If its momentum is uncertain by ± 2.5%,the minimum uncertainty in its position is approximately

An electron is confined to a region of space of length L = 0.2 nm.Its minimum kinetic energy,assuming that p = Δ\DeltaΔ p,is approximately

You want to make simultaneous measurements of the position and velocity of an electron that is moving in the positive-x direction.If the velocity is measured to an accuracy of 10-7 m/s,the limit of accuracy with which you can locate the electron is approximately

What is the momentum (in SI units)of a photon of wavelength λ\lambdaλ = 410 nm? (Planck's constant h = 6.626 ×\times× 10-34 J·s)

Light falling on the surface of a metal such as cesium can liberate electrons from the metal.The kinetic energy of electrons emitted from a metal can be increased by

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 between x = 3 cm and x = 3.4 cm?

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?

In a photoelectric experiment,the threshold frequency for a material is 3.2 ×\times× 1014 Hz.An electron ejected from this surface by a photon of frequency 9.4 ×\times× 1014 Hz can be stopped by a stopping potential of

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

The energy of the electron in a hydrogen atom in the ground state is -13.6 eV.If the potential is modeled like a one-dimensional box,the width of the box is

For an electron to have a de Broglie wavelength of 0.10 nm it must be accelerated through a potential difference of

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?

Which of the following particles has the longest wavelength?

Which of the following statements concerning particles and waves is/are correct?

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

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Interference and Diffraction

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The dissociation energy is the energy required to separate the two atoms in a diatomic molecule in their ground-state.If the dissociation energy of molecular oxygen is 7.2 eV,then calculate the maximum wavelength of light from the Sun that can break apart atmospheric O₂.

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

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 $\times$ 10^-34 J · s = 4.136 $\times$ 10^-15 eV · s.)

An electron is confined to a region of space of length L = 0.2 nm.Its minimum kinetic energy,assuming that p = $\Delta$ p,is approximately

You want to make simultaneous measurements of the position and velocity of an electron that is moving in the positive-x direction.If the velocity is measured to an accuracy of 10^-7 m/s,the limit of accuracy with which you can locate the electron is approximately

What is the momentum (in SI units)of a photon of wavelength $\lambda$ = 410 nm? (Planck's constant h = 6.626 $\times$ 10^-34 J·s)

In a photoelectric experiment,the threshold frequency for a material is 3.2 $\times$ 10¹⁴ Hz.An electron ejected from this surface by a photon of frequency 9.4 $\times$ 10¹⁴ Hz can be stopped by a stopping potential of