Question 1

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

Accepted Answer

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

Question 2

A gamma-ray photon of energy 100 keV scatters off an electron at an angle perpendicular to its original direction. Calculate the de Broglie wavelength of the recoiling electron.

Accepted Answer

A)  13.5 * 10-12 m 
B)  12.4 * 10-12 m 
C)  14.8 * 10-12 m 
D)  2.4*10-12 m 
E)  9.54 * 10-12 m 
A)  13.5 * 10-12 m 
B)  12.4 * 10-12 m 
C)  14.8 * 10-12 m 
D)  2.4*10-12 m 
E)  9.54 * 10-12 m

Question 3

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

Accepted Answer

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

Question 4

Photons with an energy of 7.52 eV strike a material that has a work function of 4.22 eV. The maximum kinetic energy of the electron emitted from this material is

Accepted Answer

A)  7.5 eV 
B)  12 eV 
C)  3.3 eV 
D)  0.98 eV 
E)  No electrons are ejected by these photons. 
A)  7.5 eV 
B)  12 eV 
C)  3.3 eV 
D)  0.98 eV 
E)  No electrons are ejected by these photons.

Question 5

The graph shows the maximum kinetic energy of electrons emitted by a photosensitive surface as a function of the frequency of the incident radiation. The slope of this curve represents

Accepted Answer

A)  the intensity of the incident radiation. 
B)  the maximum kinetic energy. 
C)  the threshold frequency. 
D)  Planck's constant. 
E)  the stopping potential. 
A)  the intensity of the incident radiation. 
B)  the maximum kinetic energy. 
C)  the threshold frequency. 
D)  Planck's constant. 
E)  the stopping potential.

Question 6

Photon A has twice the energy of photon B. The ratio of the momentum of A to that of B is

Accepted Answer

A)  4 
B)  2 
C)  1 
D)  1/2 
E)  1/4 
A)  4 
B)  2 
C)  1 
D)  1/2 
E)  1/4

Question 7

The scaling of both axes in the graphs shown are the same. The graph that best represents the energy levels of a harmonic oscillator is

Accepted Answer

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

Question 8

A Compton-scattered X-ray photon has less energy than the incident photon. The scattered photon therefore

Accepted Answer

A)  has the same wavelength as the incident photon. 
B)  has a longer wavelength than the incident photon. 
C)  has a shorter wavelength than the incident photon. 
D)  cannot be assigned a wavelength. 
E)  has none of these wavelengths. 
A)  has the same wavelength as the incident photon. 
B)  has a longer wavelength than the incident photon. 
C)  has a shorter wavelength than the incident photon. 
D)  cannot be assigned a wavelength. 
E)  has none of these wavelengths.

Question 9

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 10

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

Question 11

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

Question 12

The graph that best represents the potential energy of a harmonic oscillator as a function of the position of the oscillator is

Accepted Answer

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

Question 13

The wave function of a single electron $\Psi$ tells us

Accepted Answer

A)  where the particle is. 
B)  where the wave is. 
C)  where the particle is likely to be. 
D)  where the wave is likely to be. 
E)  the strength of the electric field of the wave. 
A)  where the particle is. 
B)  where the wave is. 
C)  where the particle is likely to be. 
D)  where the wave is likely to be. 
E)  the strength of the electric field of the wave.

Question 14

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 ground 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 15

The figure shows X-rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, $\lambda$3 $\neq$ $\lambda$; thus, which of the following expressions is true?

Accepted Answer

A)  $\lambda$1 =$\lambda$2 = $\lambda$3 = $\lambda$4  
B) $\lambda$ = $\lambda$1 > $\lambda$3  
C)  $\lambda$2 1 4  
D)  $\lambda$3 > $\lambda$1 = $\lambda$4  
E)  $\lambda$4 > $\lambda$2 > $\lambda$ 
A)  $\lambda$1 =$\lambda$2 = $\lambda$3 = $\lambda$4  
B) $\lambda$ = $\lambda$1 > $\lambda$3  
C)  $\lambda$2 1 4  
D)  $\lambda$3 > $\lambda$1 = $\lambda$4  
E)  $\lambda$4 > $\lambda$2 > $\lambda$

Question 16

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. 
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 17

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

Question 18

Use the following equation statement to answer the next four questions.
The normalized wave functions for the infinite square-well potential are
$\Psi$S1U1B1nS1U1B0 = (2/L)S1U1P11/2S1S1P0 sin(n $\pi$x/L)
You may find it useful to use   $\theta$sinS1U1P12S1S1P0$\theta$d$\theta$= $\theta$S1U1P12S1S1P0/4 - ($\theta$ sin 2$\theta$/4 - (cos 2$\theta$/8 + C
-The expectation value <x> for a particle in the excited (n = 2) state of an infinite square-well potential is

Accepted Answer

A)  0.424L 
B)  0.173L 
C)  0.761L 
D)  0.374L 
E)  0.494L 
A)  0.424L 
B)  0.173L 
C)  0.761L 
D)  0.374L 
E)  0.494L

Question 19

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/3 is

Accepted Answer

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

Question 20

An electron is confined to a region of space of length L = 0.2 nm. The minimum uncertainty in its momentum is approximately

Accepted Answer

A)  5.3*10-25 kg · m/s 
B)  2.6 *10-25 kg · m/s 
C)  2.6 *10-22 kg · m/s 
D)  5.3* 10-22 kg · m/s 
E)  2.6* 10-27 kg · m/s 
A)  5.3*10-25 kg · m/s 
B)  2.6 *10-25 kg · m/s 
C)  2.6 *10-22 kg · m/s 
D)  5.3* 10-22 kg · m/s 
E)  2.6* 10-27 kg · m/s

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

A gamma-ray photon of energy 100 keV scatters off an electron at an angle perpendicular to its original direction. Calculate the de Broglie wavelength of the recoiling electron.

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

Photons with an energy of 7.52 eV strike a material that has a work function of 4.22 eV. The maximum kinetic energy of the electron emitted from this material is

The graph shows the maximum kinetic energy of electrons emitted by a photosensitive surface as a function of the frequency of the incident radiation. The slope of this curve represents

Photon A has twice the energy of photon B. The ratio of the momentum of A to that of B is

The scaling of both axes in the graphs shown are the same. The graph that best represents the energy levels of a harmonic oscillator is

A Compton-scattered X-ray photon has less energy than the incident photon. The scattered photon therefore

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

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

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

The graph that best represents the potential energy of a harmonic oscillator as a function of the position of the oscillator is

The wave function of a single electron $\Psi$ tells us

A classical particle

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.

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/3 is

An electron is confined to a region of space of length L = 0.2 nm. The minimum uncertainty in its momentum 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

Exam 14: Wave Particle Duality and Quantum Physics

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

A gamma-ray photon of energy 100 keV scatters off an electron at an angle perpendicular to its original direction. Calculate the de Broglie wavelength of the recoiling electron.

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

Photons with an energy of 7.52 eV strike a material that has a work function of 4.22 eV. The maximum kinetic energy of the electron emitted from this material is

The graph shows the maximum kinetic energy of electrons emitted by a photosensitive surface as a function of the frequency of the incident radiation. The slope of this curve represents

Photon A has twice the energy of photon B. The ratio of the momentum of A to that of B is

The scaling of both axes in the graphs shown are the same. The graph that best represents the energy levels of a harmonic oscillator is

A Compton-scattered X-ray photon has less energy than the incident photon. The scattered photon therefore

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

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

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

The graph that best represents the potential energy of a harmonic oscillator as a function of the position of the oscillator is

The wave function of a single electron Ψ\PsiΨ tells us

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 ground state is

The figure shows X-rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, λ\lambdaλ 3 ≠\neq= λ\lambdaλ ; thus, which of the following expressions is true?

A classical particle

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.

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/3 is

An electron is confined to a region of space of length L = 0.2 nm. The minimum uncertainty in its momentum 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 $\lambda$ = 410 nm? (Planck's constant h = 6.626 *10^-34 J·s)

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

The wave function of a single electron $\Psi$ tells us

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/3 is