Question 1

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 2

If a baseball,an electron,and a photon all have the same momentum,which has the longest wavelength?

Accepted Answer

A) baseball 
B) electron 
C) photon 
D) all have the same wavelength 
E) it depends on the energy of the photon 
A) baseball 
B) electron 
C) photon 
D) all have the same wavelength 
E) it depends on the energy of the photon

Question 3

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in the region 0 < x < 3L/4 is

Accepted Answer

A) 0.86 
B) 0.25 
C) 0.50 
D) 0.91 
E) 0.09 
A) 0.86 
B) 0.25 
C) 0.50 
D) 0.91 
E) 0.09

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

A proton (rest energy = 938 MeV)is confined in a space of length 3.0 $\times$ 10-15 m,about the size of a light-weight nucleus.The minimum uncertainty in its momentum is approximately

Accepted Answer

A) 2.2 $\times$ 10-17 kg · m/s 
B) 5.5 $\times$ 10-18 kg · m/s 
C) 3.6 $\times$ 10-18 kg · m/s 
D) 1.8 $\times$ 10-20 kg · m/s 
E) 8.8 $\times$ 10-19 kg · m/s 
A) 2.2 $\times$ 10-17 kg · m/s 
B) 5.5 $\times$ 10-18 kg · m/s 
C) 3.6 $\times$ 10-18 kg · m/s 
D) 1.8 $\times$ 10-20 kg · m/s 
E) 8.8 $\times$ 10-19 kg · m/s

Question 6

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in the region 0 < x < L/3 is

Accepted Answer

A) 0.41 
B) 0.25 
C) 0.20 
D) 0.34 
E) 0.27 
A) 0.41 
B) 0.25 
C) 0.20 
D) 0.34 
E) 0.27

Question 7

Use the following figure for the next problem.  
-The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV.The electrons then pass through a region of magnetic field of distance y = 8 cm which points perpendicularly to the direction of travel of the electron.What is the strength of the magnetic field needed to deflect the electron by an angle of $\theta$ = 25S1U1P1$\circ$S1S1P0? (Ignore any relativistic effect.1 Gauss = 10-4 T)

Accepted Answer

A) 120.1 Gauss 
B) 30.4 Gauss 
C) 21.8 Gauss 
D) 14.6 Gauss 
E) None of these is correct. 
A) 120.1 Gauss 
B) 30.4 Gauss 
C) 21.8 Gauss 
D) 14.6 Gauss 
E) None of these is correct.

Question 8

Use the following figure for the next problem.  
-An electron that is not localized in space is described by the wave function $\varPsi$  = A sin (kx - $\omega$t).The kinetic energy of the electron is 10 keV.The value of $\omega$ is approximately

Accepted Answer

A) 1.5 $\times$ 1019 s-1  
B) 3.0 $\times$ 1019 s-1  
C) 4.5 $\times$ 1019 s-1  
D) 1.5 $\times$ 1021 s-1  
E) 3.0 $\times$ 1021 s-1  
A) 1.5 $\times$ 1019 s-1  
B) 3.0 $\times$ 1019 s-1  
C) 4.5 $\times$ 1019 s-1  
D) 1.5 $\times$ 1021 s-1  
E) 3.0 $\times$ 1021 s-1

Question 9

In the photoelectric effect,the work function depends on the

Accepted Answer

A) incident wavelength. 
B) applied voltage. 
C) light intensity. 
D) metal that the light strikes. 
E) current. 
A) incident wavelength. 
B) applied voltage. 
C) light intensity. 
D) metal that the light strikes. 
E) current.

Question 10

A proton is in a one-dimensional box of length ~2 $\times$ 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 11

Calculate the wavelength of light of energy 1 keV divided by the de Broglie wavelength of a proton of kinetic energy 1 meV.

Accepted Answer

A) 1.4 
B) 1.0 $\times$ 10-6  
C) 1.0 $\times$ 106  
D) 1.9 
E) 0.73 
A) 1.4 
B) 1.0 $\times$ 10-6  
C) 1.0 $\times$ 106  
D) 1.9 
E) 0.73

Question 12

A classical particle

Accepted Answer

A) exhibits interference. 
B) exhibits diffraction. 
C) has energy associated with it that is spread out continuously in space and time. 
D) obeys the laws of conservation of energy and momentum in collisions. 
E) is described by none of the above. 
A) exhibits interference. 
B) exhibits diffraction. 
C) has energy associated with it that is spread out continuously in space and time. 
D) obeys the laws of conservation of energy and momentum in collisions. 
E) is described by none of the above.

Question 13

An electron (me = 9.11 $\times$ 10-31 kg)traveling with a velocity of 1.1 $\times$ 106 m/s has a de Broglie wavelength of approximately

Accepted Answer

A) 0.66 nm 
B) 0.78 nm 
C) 0.89 nm 
D) 0.97 nm 
E) 1.2 nm 
A) 0.66 nm 
B) 0.78 nm 
C) 0.89 nm 
D) 0.97 nm 
E) 1.2 nm

Question 14

The work function for a metal is 5.58 eV.What is the threshold wavelength for the photoelectric effect of incident photons?

Accepted Answer

A) 2.22 $\times$ 10-7 m 
B) 2.22 $\times$ 10-9 m 
C) 4.50 $\times$ 106 m 
D) 4.50 $\times$ 10-6 m 
E) 2.22 $\times$ 10-11 m 
A) 2.22 $\times$ 10-7 m 
B) 2.22 $\times$ 10-9 m 
C) 4.50 $\times$ 106 m 
D) 4.50 $\times$ 10-6 m 
E) 2.22 $\times$ 10-11 m

Question 15

An X-ray photon scattering off an electron imparts some of its energy to the electron (the Compton effect).Which of the following statements is true?

Accepted Answer

A) The wavelength of the scattered photon is unchanged. 
B) The wavelength of the scattered photon is decreased. 
C) The wavelength of the scattered photon is increased. 
D) The scattered photon gains speed. 
E) The scattered photon is slowed. 
A) The wavelength of the scattered photon is unchanged. 
B) The wavelength of the scattered photon is decreased. 
C) The wavelength of the scattered photon is increased. 
D) The scattered photon gains speed. 
E) The scattered photon is slowed.

Question 16

The man whose name is most closely associated with the explanation of the photoelectric effect is

Accepted Answer

A) M.Planck. 
B) E.Fermi. 
C) N.Bohr. 
D) E.Rutherford. 
E) A.Einstein. 
A) M.Planck. 
B) E.Fermi. 
C) N.Bohr. 
D) E.Rutherford. 
E) A.Einstein.

Question 17

A gamma-ray photon is back scattered at an angle of 180° after a collision with an electron.If the scattered photon has energy 150 keV,what was the energy of the initial photon?

Accepted Answer

A) 303 keV 
B) 363 keV 
C) 95 keV 
D) 427 keV 
E) 393 keV 
A) 303 keV 
B) 363 keV 
C) 95 keV 
D) 427 keV 
E) 393 keV

Question 18

With a microscope using photons you locate an electron in an atom to within a distance of 0.010 nm.The uncertainty in the momentum of the electron is approximately

Accepted Answer

A) 1.1 $\times$ 10-24 N · s 
B) 5.3 $\times$ 10-27 N · s 
C) 5.3 $\times$ 10-24 N · s 
D) 4.2 $\times$ 10-24 N · s 
E) 1.1 $\times$ 10-23 N · s 
A) 1.1 $\times$ 10-24 N · s 
B) 5.3 $\times$ 10-27 N · s 
C) 5.3 $\times$ 10-24 N · s 
D) 4.2 $\times$ 10-24 N · s 
E) 1.1 $\times$ 10-23 N · s

Question 19

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

Question 20

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 energy difference between the initial and final photon.

Accepted Answer

A) 682 keV 
B) 194 keV 
C) 606 keV 
D) 118 keV 
E) 312 keV 
A) 682 keV 
B) 194 keV 
C) 606 keV 
D) 118 keV 
E) 312 keV

Exam 34: Wave Particle Duality and Quantum Physics

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)?

If a baseball,an electron,and a photon all have the same momentum,which has the longest wavelength?

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in the region 0 < x < 3L/4 is

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

A proton (rest energy = 938 MeV)is confined in a space of length 3.0 ×\times× 10-15 m,about the size of a light-weight nucleus.The minimum uncertainty in its momentum is approximately

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in the region 0 < x < L/3 is

Use the following figure for the next problem. -An electron that is not localized in space is described by the wave function Ψ\varPsiΨ = A sin (kx - ω\omegaω t).The kinetic energy of the electron is 10 keV.The value of ω\omegaω is approximately

In the photoelectric effect,the work function depends on the

A proton is in a one-dimensional box of length ~2 ×\times× 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?

Calculate the wavelength of light of energy 1 keV divided by the de Broglie wavelength of a proton of kinetic energy 1 meV.

A classical particle

An electron (me = 9.11 ×\times× 10-31 kg)traveling with a velocity of 1.1 ×\times× 106 m/s has a de Broglie wavelength of approximately

The work function for a metal is 5.58 eV.What is the threshold wavelength for the photoelectric effect of incident photons?

An X-ray photon scattering off an electron imparts some of its energy to the electron (the Compton effect).Which of the following statements is true?

The man whose name is most closely associated with the explanation of the photoelectric effect is

A gamma-ray photon is back scattered at an angle of 180° after a collision with an electron.If the scattered photon has energy 150 keV,what was the energy of the initial photon?

With a microscope using photons you locate an electron in an atom to within a distance of 0.010 nm.The uncertainty in the momentum of the electron is approximately

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

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A proton (rest energy = 938 MeV)is confined in a space of length 3.0 $\times$ 10^-15 m,about the size of a light-weight nucleus.The minimum uncertainty in its momentum is approximately

A proton is in a one-dimensional box of length ~2 $\times$ 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 $\times$ 10^-31 kg)traveling with a velocity of 1.1 $\times$ 10⁶ m/s has a de Broglie wavelength of approximately