Exam 14: Wave Particle Duality and Quantum Physics
Exam 1: The Electric Field I: Discrete Charge Distributions87 Questions
Exam 2: The Electric Field II: Continuous Charge Distributions75 Questions
Exam 3: Electric Potential108 Questions
Exam 4: Capacitance73 Questions
Exam 5: Electric Current and Direct-Current Circuits160 Questions
Exam 6: The Magnetic Field71 Questions
Exam 7: Sources of the Magnetic Field115 Questions
Exam 8: Magnetic Induction84 Questions
Exam 9: Alternating-Current Circuits119 Questions
Exam 10: Maxwells Equations and Electromagnetic Waves61 Questions
Exam 11: Properties of Light116 Questions
Exam 12: Optical Images143 Questions
Exam 13: Interference and Diffraction116 Questions
Exam 14: Wave Particle Duality and Quantum Physics153 Questions
Exam 15: Applications of the Schrodinger Equation54 Questions
Exam 16: Atoms128 Questions
Exam 17: Molecules44 Questions
Exam 18: Solids and the Theory of Conduction83 Questions
Exam 19: Relativity83 Questions
Exam 20: Nuclear Physics135 Questions
Exam 21: Elementary Particles and the Beginning of the Universe68 Questions
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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.
(Multiple Choice)
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Use the following figure for the next two questions.
Apparatus for studying the photoelectric effect
-The work function of the material being investigated is 3.5 * 10-19 J. The battery is set at 1.5 V. What is the longest wavelength of light needed to produce an electric current from the cathode (C) to the anode (A)?

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The pupil area of the human eye is ~ 1*10-5 m2. The minimum light intensity that the eye is sensitive to is ~ 1 *10-10 Wm-2. How many photons per second of wavelength 550 nm does this correspond to?
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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
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An electron is in a one-dimensional box of length 0.5 nm. The ground-state energy of this electron is
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An electron in the hydrogen atom (ground-state energy = -13.6 eV) makes a transition from the n = 2 to the n = 4 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.
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An electron is in a one-dimensional box of length 0.5 nm. The energy of this electron in its first excited state is
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The graph shows the uncertainty in measuring the position x and momentum p of a particle in four experiments. Region 1 has area h, region 2 has area 4h, region 3 has area 2h, and region 4 has area 3h. The region that correctly represents the uncertainty principle is

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If the work function of thoriated tungsten is 4 *10-19 J, the longest wavelength of light that will cause photoelectrons to be emitted is approximately
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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.
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The graphs shows the maximum kinetic energy of electrons emitted from a metal as a function of the frequency of the incident light. The work function of the metal is

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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
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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 probability of finding the particle between x = -2 cm and 2 cm is

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An electron in a hydrogen atom jumps from n = 5 to n = 2. The color of the photon given off is
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Use the following equation statement to answer the next four questions.
The normalized wave functions for the infinite square-well potential are
n = (2/L)1/2 sin(n x/L)
You may find it useful to use
sin2 d = 2/4 - ( sin 2 /4 - (cos 2 /8 + C
-The expectation value <x> for a particle in the ground state of an infinite square-well potential is

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Which of the following does not require the quantum theory of light for its explanation?
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A proton is in a one-dimensional box of length ~ 2 * 10-15 m (i.e., ~ size of a nucleus). What is the approximate ground-state energy in eV?
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