9. Quantum Mechanics

Photoelectric Effect

9. Quantum Mechanics

Photoelectric Effect

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Photoelectric Effect Example 1

Photoelectric Effect Example 2

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Addressing a common misconception about the photoelectric effect

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Addressing a common misconception about the photoelectric effect

Wave-Particle Duality of Light

The Photoelectric Effect

Wave-Particle Duality and the Photoelectric Effect

Professor Dave Explains

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The Photoelectric Effect

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Practice this topic

Multiple Choice

A metal with a threshold frequency of 2.15 x 10¹⁵ s^-1 emits an electron with a velocity of 7.03 x 10⁶ m/s when radiation of 4.88 x 10¹⁵ s^-1 strikes the metal's surface. Calculate the mass of the electron.

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Multiple Choice

An ultraviolet photon with a wavelength of 320 nm strikes a metal surface. The emitted electron has a kinetic energy of 3.0 x 10^-2 eV. What is the binding energy of the electron in kJ/mol? 1 electron volt (eV) = 1.602 x 10^-19 J.

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Multiple Choice

Which best describes the photoelectric effect?

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Multiple Choice

Which of the following is true about the photoelectric effect?

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Textbook Question

Which type of electromagnetic radiation will cause the greatest number of electrons to be ejected from zinc metal with a work function of 350 kJ/mol? (LO 5.4, 5.5) (a) Dim light with a wavelength of 320 nm (b) Dim light with a wavelength of 360 nm (c) Bright light with a wavelength of 360 nm (d) Bright light with a wavelength of 375 nm

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Textbook Question

Einstein's 1905 paper on the photoelectric effect was the first important application of Planck's quantum hypothesis. Describe Planck's original hypothesis, and explain how Einstein made use of it in his theory of the photoelectric effect.

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Textbook Question

Molybdenum metal must absorb radiation with an energy higher than 7.22 * 10-19 J ('energy threshold') before it can eject an electron from its surface via the photoelectric effect. (c) If molybdenum is irradiated with light of wavelength of 240 nm, what is the maximum possible velocity of the emitted electrons?

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Textbook Question

Molybdenum metal must absorb radiation with an energy higher than 7.22 * 10-19 J ('energy threshold') before it can eject an electron from its surface via the photoelectric effect. (b) What wavelength of radiation will provide a photon of this energy?

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Textbook Question

Molybdenum metal must absorb radiation with an energy higher than 7.22 * 10-19 J ('energy threshold') before it can eject an electron from its surface via the photoelectric effect. (a) What is the frequency threshold for emission of electrons?

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Textbook Question

Sketch the interference pattern that results from the diffraction of electrons passing through two closely spaced slits.

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Textbook Question

The work function of cesium metal is 188 kJ/mol, which corresponds to light with a wavelength of 637 nm. Which of the following will cause the smallest number of electrons to be ejected from cesium? (a) High-amplitude wave with a wavelength of 500 nm (b) Low-amplitude wave with a wavelength of 500 nm (c) High-amplitude wave with a wavelength of 650 nm (d) Low-amplitude wave with a wavelength of 650 nm

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Textbook Question

The work function of calcium metal is kJ/mol, which corresponds to light with a wavelength of 432 nm. Which of the following will cause the largest number of electrons to be ejected from cesium? (a) High-amplitude wave with a wavelength of 400 nm (b) Low-amplitude wave with a wavelength of 400 nm (c) High-amplitude wave with a wavelength of 450 nm (d) Low-amplitude wave with a wavelength of 450 nm

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Textbook Question

The work function of silver metal is 436 kJ/mol. What frequency of light is needed to eject electrons from a sample of silver?

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Textbook Question

Cesium metal is frequently used in photoelectric cells because the amount of energy necessary to eject electrons from a cesium surface is relatively small—only 206.5 kJ/mol. What wavelength of light in nanometers does this correspond to?

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Textbook Question

An argon ion laser puts out 5.0 W of continuous power at a wavelength of 532 nm. The diameter of the laser beam is 5.5 mm. If the laser is pointed toward a pinhole with a diameter of 1.2 mm, how many photons travel through the pinhole per second? Assume that the light intensity is equally distributed throughout the entire cross-sectional area of the beam. (1 W = 1 J/s)

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Textbook Question

An X-ray photon of wavelength 0.989 nm strikes a surface. The emitted electron has a kinetic energy of 969 eV. What is the binding energy of the electron in kJ>mol? [KE = 12 mv2; 1 electron volt (eV) = 1.602 * 10 - 19 J]

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Textbook Question

The energy required to ionize sodium is 496 kJ/mol. What minimum frequency of light is required to ionize sodium?

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Textbook Question

The amount of energy necessary to remove an electron from an atom is a quantity called the ionization energy, Ei. This energy can be measured by a technique called photoelectron spectroscopy, in which light of wavelength l is directed at an atom, causing an electron to be ejected. The kinetic energy of the ejected electron (Ek) is measured by determining its veloc-ity, v (Ek = mv2/2), and Ei is then calculated using the conservation of energy principle. That is, the energy of the incident light equals Ei plus Ek. What is the ionization energy of selenium atoms in kilojoules per mole if light with l = 48.2 nm produces electrons with a velocity of 2.371 * 106 m/s? The mass, m, of an electron is 9.109 * 10-31 kg.

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Textbook Question

A minimum energy of 7.21 * 10-19 J is required to produce the photoelectric effect in chromium metal. (a) What is the minimum frequency of light needed to remove an electron from chromium?

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Open Question

What is the threshold frequency ν₀ of cesium?

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Open Question

What is the threshold frequency for sodium metal if a photon with frequency 6.66 × 10¹⁴ s⁻¹ ejects an electron with 7.74 × 10⁻²⁰ J kinetic energy? Will the photoelectric effect be observed if sodium is exposed to orange light?

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Open Question

A ray of red light has a wavelength of about 7.00×10⁻⁷ m. Will exposure to red light cause electrons to be emitted from cesium?

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Open Question

What is the threshold frequency ν0 of cesium

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Open Question