Exam 38: Quantization

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A single slit is illuminated at normal incidence with a parallel beam of light having a wavelength of $A single slit is illuminated at normal incidence with a parallel beam of light having a wavelength of The entire central band of the diffraction pattern is observed at ±90°.The illumination is now replaced by a nonrelativistic beam of electrons,each having a kinetic energy of 980 eV.When this beam hits the slit at normal incidence,at what angle will the first minimum of the electron diffraction pattern occur? (h = 6.626 × 10-34 J ∙ s,mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J)$ The entire central band of the diffraction pattern is observed at ±90°.The illumination is now replaced by a nonrelativistic beam of electrons,each having a kinetic energy of 980 eV.When this beam hits the slit at normal incidence,at what angle will the first minimum of the electron diffraction pattern occur? (h = 6.626 × 10^-34 J ∙ s,m_el = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J)

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Question 41

A metal having a work function of 2.8 eV is illuminated with monochromatic light whose photon energy is 3.9 eV.What is the threshold frequency for photoelectron production? (h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

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Question 42

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-13 J? (h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸m/s)

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Question 43

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

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Question 44

Upon being struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this metal? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 45

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Exam 38: Quantization

A metal having a work function of 2.8 eV is illuminated with monochromatic light whose photon energy is 3.9 eV.What is the threshold frequency for photoelectron production? (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13 J? (h = 6.626 × 10-34 J ∙ s,c = 3.00 × 108 m/s)

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (mel = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

Upon being struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this metal? (h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

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A metal having a work function of 2.8 eV is illuminated with monochromatic light whose photon energy is 3.9 eV.What is the threshold frequency for photoelectron production? (h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)

Gamma rays are photons with very high energy.How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10^-13 J? (h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸m/s)

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? (m_el = 9.11 × 10^-31 kg,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

Upon being struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of What is the work function of this metal? (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)