Question 1

The wave function for a particle between x = -4 cm and 4 cm is given by  where L = 8 cm.Outside this range,the wave function is equal to zero.The value of A is

Accepted Answer

A) 0.1 
B) 0.2 
C) 1/3 
D) 1/4 
E) 0.5

Question 2

An electron in a hydrogen atom jumps from n = 5 to n = 2.The color of the photon given off is

Accepted Answer

A) purple. 
B) blue. 
C) green. 
D) red. 
E) The photon is outside the visible range.

Question 3

Which of the following statements about Maxwell's theory of electromagnetism is false?

Accepted Answer

A) The theory shows that light travels as transverse waves. 
B) The theory shows that the speed of light is c in vacuum. 
C) The theory shows that light travels as photons. 
D) The theory shows that light consists of electric and magnetic waves. 
E) The theory shows that light does not depend on a medium for it to travel.

Question 4

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 6 cm.What is the probability of finding the particle between x = 4.0 cm and x = 4.4 cm?

Accepted Answer

A) 0.01 
B) 0.03 
C) 0.05 
D) 0.07 
E) 1.0

Question 5

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

Question 6

Magnetic Resonance Imaging (MRI)is a much used noninvasive diagnostic technique in medicine.The radio frequency photons used have energies of about 10-7 eV.What wavelength does this correspond to?

Accepted Answer

A) 12 nm 
B) 1.2 m 
C) 12 m 
D) 1.2 nm 
E) 120 m

Question 7

A proton is in a one-dimensional box of length ~ 2 $\times$ 10-15 m (i.e.,~ size of a nucleus).What is the approximate ground-state energy in eV?

Accepted Answer

A) 100 MeV 
B) 400 MeV 
C) 50 MeV 
D) 10 MeV 
E) 1 MeV

Question 8

The photoelectric threshold of a certain metal is 310 nm.The maximum kinetic energy of electrons ejected from the surface of the metal by ultraviolet light of wavelength 200 nm is

Accepted Answer

A) 2.22 eV 
B) 2.60 eV 
C) 10.2 eV 
D) 12.3 eV 
E) none of these because no electrons are ejected

Question 9

When a surface is illuminated with light of wavelength 500 nm,the maximum speed of the photoelectrons is 300 km/s.When the same surface is illuminated by light of half this wavelength what is the maximum speed of the photoelectrons in this case?

Accepted Answer

A) 680 km/s 
B) 1280 km/s 
C) 885 km/s 
D) 980 km/s 
E) 14800 km/s

Question 10

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

Question 11

In a Compton scattering experiment,an 8.00-MeV incident photon is scattered at an angle of 15º with energy of 5.20 MeV.The kinetic energy of the recoil electron is

Accepted Answer

A) 2.80 MeV 
B) 2.08 MeV 
C) 5.20 MeV 
D) 7.28 MeV 
E) 800 MeV

Question 12

The work functions for two different metals A and B,are 3.23 eV and 5.33 eV,respectively.If photons of 220 nm are incident on the two metals,calculate the difference in energy of the fastest photoelectrons from metal A and metal B.

Accepted Answer

A) 0.69 eV 
B) 0.0 eV 
C) 2.10 eV 
D) 1.72 eV 
E) 2.41 eV

Question 13

The maximum kinetic energy of electrons ejected from barium (whose work function is 2.50 eV)when it is illuminated by light of wavelength 350 nm is

Accepted Answer

A) 0.20 eV 
B) 0.41 eV 
C) 0.63 eV 
D) 0.95 eV 
E) 1.05 eV

Question 14

A classical particle

Accepted Answer

A) can be localized. 
B) can be scattered. 
C) exchanges energy suddenly at a point in space. 
D) obeys the laws of conservation of energy and momentum in collisions. 
E) is described by all of the above.

Question 15

A mass of 0.250 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 10 N/m.When this oscillator makes a transition from its n = 6 state to its n = 5 state,the energy of the photon emitted is

Accepted Answer

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

Question 16

An X-ray photon of wavelength 0.10 nm is Compton-scattered from a free electron.The greatest observed shift in wavelength,as seen in the scattered photon,is

Accepted Answer

A) 0.0012 nm 
B) 0.0024 nm 
C) 0.0048 nm 
D) 0.18 nm 
E) 0.10 nm

Question 17

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

Question 18

An electron is sent through a slit whose width is $\Delta$x = 0.040 cm.The uncertainty in the x component of the momentum of this electron is approximately

Accepted Answer

A) 1.3 $\times$ 10-24 N · s 
B) 2.6 $\times$ 10-24 N · s 
C) 1.3 $\times$ 10-23 N · s 
D) 2.6 $\times$ 10-23 N · s 
E) 3.9 $\times$ 10-25 N · s

Question 19

What is the momentum (in SI units)of a photon of wavelength $\lambda$ = 480 nm? (Planck's constant h = 6.626 $\times$ 10-34 J·s)

Accepted Answer

A) 7.24 $\times$ 10-27 kg m/s 
B) 6.21 $\times$ 10-27 kg m/s 
C) 4.14 $\times$ 10-27 kg m/s 
D) 2.76 $\times$ 10-27 kg m/s 
E) 1.38 $\times$ 10-27 kg m/s

Question 20

An electron in the hydrogen atom makes a transition from an energy level of -1.51 eV to one of energy -3.40 eV.In this process a photon is emitted with what wavelength?

Accepted Answer

A) 1.89 nm 
B) 656 nm 
C) 456 nm 
D) 821 nm 
E) 365 nm

Exam 34: Wave Particle Duality and Quantum Physics

The wave function for a particle between x = -4 cm and 4 cm is given by where L = 8 cm.Outside this range,the wave function is equal to zero.The value of A is

An electron in a hydrogen atom jumps from n = 5 to n = 2.The color of the photon given off is

Which of the following statements about Maxwell's theory of electromagnetism is false?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 6 cm.What is the probability of finding the particle between x = 4.0 cm and x = 4.4 cm?

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

Magnetic Resonance Imaging (MRI) is a much used noninvasive diagnostic technique in medicine.The radio frequency photons used have energies of about 10^-7 eV.What wavelength does this correspond to?

A proton is in a one-dimensional box of length ~ 2 $\times$ 10^-15 m (i.e.,~ size of a nucleus) .What is the approximate ground-state energy in eV?

The photoelectric threshold of a certain metal is 310 nm.The maximum kinetic energy of electrons ejected from the surface of the metal by ultraviolet light of wavelength 200 nm is

When a surface is illuminated with light of wavelength 500 nm,the maximum speed of the photoelectrons is 300 km/s.When the same surface is illuminated by light of half this wavelength what is the maximum speed of the photoelectrons in this case?

In a Compton scattering experiment,an 8.00-MeV incident photon is scattered at an angle of 15º with energy of 5.20 MeV.The kinetic energy of the recoil electron is

The work functions for two different metals A and B,are 3.23 eV and 5.33 eV,respectively.If photons of 220 nm are incident on the two metals,calculate the difference in energy of the fastest photoelectrons from metal A and metal B.

The maximum kinetic energy of electrons ejected from barium (whose work function is 2.50 eV) when it is illuminated by light of wavelength 350 nm is

A classical particle

A mass of 0.250 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 10 N/m.When this oscillator makes a transition from its n = 6 state to its n = 5 state,the energy of the photon emitted is

An X-ray photon of wavelength 0.10 nm is Compton-scattered from a free electron.The greatest observed shift in wavelength,as seen in the scattered photon,is

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

An electron is sent through a slit whose width is $\Delta$ x = 0.040 cm.The uncertainty in the x component of the momentum of this electron is approximately

What is the momentum (in SI units) of a photon of wavelength $\lambda$ = 480 nm? (Planck's constant h = 6.626 $\times$ 10^-34 J·s)

An electron in the hydrogen atom makes a transition from an energy level of -1.51 eV to one of energy -3.40 eV.In this process a photon is emitted with what wavelength?

Exam 34: Wave Particle Duality and Quantum Physics

The wave function for a particle between x = -4 cm and 4 cm is given by where L = 8 cm.Outside this range,the wave function is equal to zero.The value of A is

An electron in a hydrogen atom jumps from n = 5 to n = 2.The color of the photon given off is

Which of the following statements about Maxwell's theory of electromagnetism is false?

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 6 cm.What is the probability of finding the particle between x = 4.0 cm and x = 4.4 cm?

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

Magnetic Resonance Imaging (MRI) is a much used noninvasive diagnostic technique in medicine.The radio frequency photons used have energies of about 10-7 eV.What wavelength does this correspond to?

A proton is in a one-dimensional box of length ~ 2 ×\times× 10-15 m (i.e.,~ size of a nucleus) .What is the approximate ground-state energy in eV?

The photoelectric threshold of a certain metal is 310 nm.The maximum kinetic energy of electrons ejected from the surface of the metal by ultraviolet light of wavelength 200 nm is

When a surface is illuminated with light of wavelength 500 nm,the maximum speed of the photoelectrons is 300 km/s.When the same surface is illuminated by light of half this wavelength what is the maximum speed of the photoelectrons in this case?

In a Compton scattering experiment,an 8.00-MeV incident photon is scattered at an angle of 15º with energy of 5.20 MeV.The kinetic energy of the recoil electron is

The work functions for two different metals A and B,are 3.23 eV and 5.33 eV,respectively.If photons of 220 nm are incident on the two metals,calculate the difference in energy of the fastest photoelectrons from metal A and metal B.

The maximum kinetic energy of electrons ejected from barium (whose work function is 2.50 eV) when it is illuminated by light of wavelength 350 nm is

A classical particle

A mass of 0.250 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 10 N/m.When this oscillator makes a transition from its n = 6 state to its n = 5 state,the energy of the photon emitted is

An X-ray photon of wavelength 0.10 nm is Compton-scattered from a free electron.The greatest observed shift in wavelength,as seen in the scattered photon,is

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

An electron is sent through a slit whose width is Δ\DeltaΔ x = 0.040 cm.The uncertainty in the x component of the momentum of this electron is approximately

What is the momentum (in SI units) of a photon of wavelength λ\lambdaλ = 480 nm? (Planck's constant h = 6.626 ×\times× 10-34 J·s)

An electron in the hydrogen atom makes a transition from an energy level of -1.51 eV to one of energy -3.40 eV.In this process a photon is emitted with what wavelength?

Magnetic Resonance Imaging (MRI) is a much used noninvasive diagnostic technique in medicine.The radio frequency photons used have energies of about 10^-7 eV.What wavelength does this correspond to?

A proton is in a one-dimensional box of length ~ 2 $\times$ 10^-15 m (i.e.,~ size of a nucleus) .What is the approximate ground-state energy in eV?

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

An electron is sent through a slit whose width is $\Delta$ x = 0.040 cm.The uncertainty in the x component of the momentum of this electron is approximately

What is the momentum (in SI units) of a photon of wavelength $\lambda$ = 480 nm? (Planck's constant h = 6.626 $\times$ 10^-34 J·s)