Exam 40: Introduction to Quantum Physics

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The number of photons per second passing a plane perpendicular to a collimated monochromatic (one frequency) beam of light transporting power P is directly proportional to

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An electron has been accelerated by a potential difference of 100 V. If its position is known to have an uncertainty of 1 nm, what is the percent uncertainty (Δp/p × 100) of the electron?

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In an experiment different wavelengths of light, all able to eject photoelectrons, shine on a freshly prepared (oxide-free) zinc surface. Which statement is true?

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What is the energy in eV of a photon of yellow light? λ = 500 nm.

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The threshold wavelength for photoelectric emission of a particular substance is 500 nm. What is the work function (in eV)?

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A pendulum located where A pendulum located where   has a 0.500 kg bob and a 4.00 Hz oscillation frequency. If it is released from a point 0.150 m above the lowest point it reaches, the number of quanta in this oscillation is has a 0.500 kg bob and a 4.00 Hz oscillation frequency. If it is released from a point 0.150 m above the lowest point it reaches, the number of quanta in this oscillation is

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A photon whose wavelength is = 5.0 × 10−11 m is scattered straight backward. What is the wavelength of the scattered wave?

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A quantum particle

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Assume the Heisenberg uncertainty principle can take the form ΔEΔt ≥ h/4B. How accurate can the position of an electron be made if its speed is 5 × 106 m/s and if the uncertainty in its energy is 10 eV?

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An electron is accelerated through a potential difference of 25000 V. What is the de Broglie wavelength of the electron (in m)?

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A baseball (1 kg) has an energy of 100 joules. If its uncertainty in position is 1 m, what is the percentage uncertainty (Δp/p × 100) in the momentum of the baseball?

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Assume electrons are accelerated through a potential difference of 25000 V inside a TV picture tube. What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10−10 m)

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Because of Heisenberg's Uncertainty Principle, the velocity of a particle is known least precisely when the length of the wave packet representing the particle is

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The experimental observation(s) below that require(s) a quantum explanation for the photoelectric effect

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Film behind a double slit is exposed to light in the following way: First one slit is opened and light is allowed to go through that slit for time Δt. Then it is closed and the other slit is opened and light is allowed to go through that slit for the same time Δt. When the film is developed the pattern will be

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Suppose we use optical radiation (λ = 500 nm) to determine the position of the electron to within the wavelength of the light. What will be the resulting uncertainty in the electron's velocity?

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On a bright and sunny day, the intensity of solar radiation on the Earth's surface is 1 000 W/m2. If the average wavelength of the sunlight is 500 nm, how many photons are incident on a square meter of the Earth's surface per second?

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A neutron has a mass of 1.67 × 10−27 kg. The de Broglie wavelength is 1.4 × 10−10 m. How fast is the neutron going? (in m/s)

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What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

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Because the factor h on the right side of the Heisenberg uncertainty principle has units of Joule-seconds, it suggests that the energy of a system also has uncertainty. The uncertainty in energy depends on the length of the time interval during which a system exists. ΔEΔt ≥ h/4π. Suppose an unstable mass is produced during a high-energy collision such that the uncertainty in its mass is me/100. (me = 9.11 × 10−31 kg.) How long will this particle exist?

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