Question 1

The visible portion of the electromagnetic spectrum extends from

Accepted Answer

A)  200 nm to 500 nm. 
B)  300 nm to 600 nm. 
C)  400 nm to 700 nm. 
D)  500 nm to 800 nm. 
E)  600 nm to 900 nm. 
A)  200 nm to 500 nm. 
B)  300 nm to 600 nm. 
C)  400 nm to 700 nm. 
D)  500 nm to 800 nm. 
E)  600 nm to 900 nm.

Question 2

Albert Einstein was awarded the Nobel Prize for his

Accepted Answer

A)  theory of special relativity. 
B)  theory of general relativity. 
C)  explanation of Brownian motion. 
D)  explanation of the Michelson-Morley experiment. 
E)  explanation of the photoelectric effect. 
A)  theory of special relativity. 
B)  theory of general relativity. 
C)  explanation of Brownian motion. 
D)  explanation of the Michelson-Morley experiment. 
E)  explanation of the photoelectric effect.

Question 3

Calculate the photon energy for light of wavelength 600 nm. (Planck's constant h = 6.626 *10-34 J·s)

Accepted Answer

A)  1.24 eV 
B)  1.98 eV 
C)  2.07 eV 
D)  2.48 eV 
E)  2.98 eV 
A)  1.24 eV 
B)  1.98 eV 
C)  2.07 eV 
D)  2.48 eV 
E)  2.98 eV

Question 4

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

Question 5

Which of the following particles has the longest wavelength?

Accepted Answer

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

Question 6

A proton is in a one-dimensional box of length 2 *10-15 m. Find the wavelength of the photon emitted for a transition between the first excited state and the ground-state.

Accepted Answer

A)  8.1* 10-6 nm 
B)  6.1 * 10-6 nm 
C)  24 * 10-6 nm 
D)  16 * 10-6 nm 
E)  12*10-6 nm 
A)  8.1* 10-6 nm 
B)  6.1 * 10-6 nm 
C)  24 * 10-6 nm 
D)  16 * 10-6 nm 
E)  12*10-6 nm

Question 7

The wave function for waves on a string 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.

Question 8

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 9

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 
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 10

The graph shows the stopping potential for photoelectrons as a function of the frequency of the incident light for two different metals (Cs and W). Which of the following statements is true?

Accepted Answer

A)  Because the intercepts are different, Planck's constant is not constant. 
B)  For a given frequency of incident light, the photoelectrons from W are more energetic than those from Cs. 
C)  The maximum kinetic energy of the photoelectrons increases as the frequency of the incident light increases. 
D)  The stopping potentials for all metals are the same. 
E)  The threshold frequency for Cs is greater than that for W. 
A)  Because the intercepts are different, Planck's constant is not constant. 
B)  For a given frequency of incident light, the photoelectrons from W are more energetic than those from Cs. 
C)  The maximum kinetic energy of the photoelectrons increases as the frequency of the incident light increases. 
D)  The stopping potentials for all metals are the same. 
E)  The threshold frequency for Cs is greater than that for W.

Question 11

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

Question 12

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. The energy of the ground state of the electron is

Accepted Answer

A)  5.38* 10-18 J 
B)  2.72 * 10-18 J 
C)  1.36 * 10-18 J 
D)  1.09*10-18 J 
E)  None of these is correct. 
A)  5.38* 10-18 J 
B)  2.72 * 10-18 J 
C)  1.36 * 10-18 J 
D)  1.09*10-18 J 
E)  None of these is correct.

Question 13

The wavelength of an electron is 1.33 nm. Its kinetic energy is approximately

Accepted Answer

A)  1.18 eV 
B)  1.08 eV 
C)  0.922 eV 
D)  0.850 eV 
E)  3.40 eV 
A)  1.18 eV 
B)  1.08 eV 
C)  0.922 eV 
D)  0.850 eV 
E)  3.40 eV

Question 14

A 10.0-kg mass moving with a velocity of 100 m/s has a de Broglie wavelength of approximately

Accepted Answer

A)  1.98* 10-22 m 
B)  1.51 *1036 m 
C)  6.62 *10-33 m 
D)  6.62 *10-37 m 
E)  6.62 *10-31 m 
A)  1.98* 10-22 m 
B)  1.51 *1036 m 
C)  6.62 *10-33 m 
D)  6.62 *10-37 m 
E)  6.62 *10-31 m

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

Question 16

Potassium has a work function of 2.3 eV for photoelectric emission. Which of the following wavelengths is the longest wavelength for which photoemission occurs?

Accepted Answer

A)  400 nm 
B)  450 nm 
C)  500 nm 
D)  540 nm 
E)  600 nm 
A)  400 nm 
B)  450 nm 
C)  500 nm 
D)  540 nm 
E)  600 nm

Question 17

A particle is confined in a one-dimensional box. The ground-state energy is E. If a second particle of twice the mass is placed in a second box of twice the length, its ground-state energy is

Accepted Answer

A)  E 
B)  4E 
C)  E/4 
D)  8E 
E)  E/8 
A)  E 
B)  4E 
C)  E/4 
D)  8E 
E)  E/8

Question 18

Photons of wavelength 0.00150 nm undergo Compton collisions with free electrons. What is the energy of the scattered photons whose angle of scattering is 45º?

Accepted Answer

A)  13.3 *10-14 J 
B)  9.00* 10-14 J 
C)  28.0 *10-14 J 
D)  18.0 * 10-14 J 
E)  2.14 * 10-14 J 
A)  13.3 *10-14 J 
B)  9.00* 10-14 J 
C)  28.0 *10-14 J 
D)  18.0 * 10-14 J 
E)  2.14 * 10-14 J

Question 19

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 20

Microwaves range in wavelength from about 2.0 * 10-2 cm to about 5.0 cm. What is the maximum energy in eV that a microwave may have?

Accepted Answer

A)  0.025 meV 
B)  6.2 meV 
C)  2.5 eV 
D)  6.2 eV 
E)  0.62 meV 
A)  0.025 meV 
B)  6.2 meV 
C)  2.5 eV 
D)  6.2 eV 
E)  0.62 meV

Exam 14: Wave Particle Duality and Quantum Physics

The visible portion of the electromagnetic spectrum extends from

Albert Einstein was awarded the Nobel Prize for his

Calculate the photon energy for light of wavelength 600 nm. (Planck's constant h = 6.626 *10-34 J·s)

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

Which of the following particles has the longest wavelength?

A proton is in a one-dimensional box of length 2 *10-15 m. Find the wavelength of the photon emitted for a transition between the first excited state and the ground-state.

The wave function for waves on a string is

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

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

The graph shows the stopping potential for photoelectrons as a function of the frequency of the incident light for two different metals (Cs and W). Which of the following statements is true?

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?

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. The energy of the ground state of the electron is

The wavelength of an electron is 1.33 nm. Its kinetic energy is approximately

A 10.0-kg mass moving with a velocity of 100 m/s has a de Broglie wavelength of approximately

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

Potassium has a work function of 2.3 eV for photoelectric emission. Which of the following wavelengths is the longest wavelength for which photoemission occurs?

A particle is confined in a one-dimensional box. The ground-state energy is E. If a second particle of twice the mass is placed in a second box of twice the length, its ground-state energy is

Photons of wavelength 0.00150 nm undergo Compton collisions with free electrons. What is the energy of the scattered photons whose angle of scattering is 45º?

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?

Microwaves range in wavelength from about 2.0 * 10-2 cm to about 5.0 cm. What is the maximum energy in eV that a microwave may have?

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

Calculate the photon energy for light of wavelength 600 nm. (Planck's constant h = 6.626 *10^-34 J·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

A proton is in a one-dimensional box of length 2 *10^-15 m. Find the wavelength of the photon emitted for a transition between the first excited state and the ground-state.

Microwaves range in wavelength from about 2.0 * 10^-2 cm to about 5.0 cm. What is the maximum energy in eV that a microwave may have?