Exam 14: Wave Particle Duality and Quantum Physics

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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.

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Use the following figure for the next two questions. 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<sup>-19</sup> 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)? 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 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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A classical particle

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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 wave function for sound waves is

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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 Davisson and Germer experiment verified that

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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 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 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 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 Ψ\Psi n = (2/L)1/2 sin(n π\pi x/L) You may find it useful to use  Use the following equation statement to answer the next four questions. The normalized wave functions for the infinite square-well potential are  \Psi <sub>n</sub> = (2/L)<sup>1/2</sup> sin(n  \pi x/L) You may find it useful to use    \theta sin<sup>2</sup> \theta d \theta =  \theta <sup>2</sup>/4 - ( \theta  sin 2 \theta /4 - (cos 2 \theta /8 + C -The expectation value <x> for a particle in the ground state of an infinite square-well potential is θ\theta sin2 θ\theta d θ\theta = θ\theta 2/4 - ( θ\theta sin 2 θ\theta /4 - (cos 2 θ\theta /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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