For what wavelength does a 100-mW laser beam deliver 1.6 × 1017 photons in one second? (c = 3.0 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

A) 320 nm B) 330 nm C) 340 nm D) 350 nm A) 320 nm B) 330 nm C) 340 nm D) 350 nm

Exam 28: Quantum Physics

A proton and an electron are both accelerated to the same final kinetic energy. If λ_p is the de Broglie wavelength of the proton and λ_e is the de Broglie wavelength of the electron, then

(Multiple Choice)

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Question 21

A crystal is irradiated with x-rays with a wavelength of 0.120 nm. The atomic planes in the crystal are separated by 0.21 nm. At what angles of incidence with respect to the normal will the x-rays reflect from the crystal?

(Multiple Choice)

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Question 22

For what wavelength does a 100-mW laser beam deliver 1.6 × 10¹⁷ photons in one second? (c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 23

An electron is accelerated from rest through a potential difference. After acceleration the electron has a wavelength of 880 nm. What is the potential difference responsible for the acceleration of the electron? (h = 6.626 × 10^-34J ∙ s, m_electron = 9.11 × 10-31 kg, e = 1.6 10^-19C)

(Multiple Choice)

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Question 24

A metal has a work function of 4.50 eV. Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal. (1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 25

Find the de Broglie wavelength of a 1.30-kg missile moving at $28.10 \mathrm {~m} / \mathrm { s } \text {. }$ (h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 26

If an electron has a wavelength of 0.123 nm, what is its kinetic energy, in electron-volts? This energy is not in the relativistic region. (m_electron = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 27

If the work function of a metal surface is 2.20 eV, what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 28

A photocathode having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 3.4 eV. What is maximum kinetic energy of the photoelectrons produced?(c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 29

Light with a frequency of 8.70 × 10¹⁴ Hz is incident on a metal that has a work function of 2.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 30

Monochromatic light is incident on a metal surface, and the ejected electrons give rise to a current in the circuit shown in the figure. The maximum kinetic energy of the ejected electrons is determined by applying a reverse ('stopping') potential, sufficient to reduce the current in the ammeter to zero. If the intensity of the incident light is increased, how will the required stopping potential change?

(Multiple Choice)

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Question 31

An electron is moving with the speed of 1780 m/s. What is its de Broglie wavelength? (m_electron = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 32

A laser emits a pulse of light that lasts 10 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 480 mJ. How many photons are emitted in each pulse? (c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 33

A monochromatic light beam is incident on the surface of a metal having a work function of 2.50 eV. If a 1.0-V stopping potential is required to make the electron current zero, what is the wavelength of light? (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 34

If an electron has the same de Broglie wavelength as the wavelength of a 390-nm photon in vacuum, what is the speed of the electron? (m_electron = 9.11 × 10^-31 kg, c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 35

A crystal diffracts a beam of electrons, like a diffraction grating, as they hit it perpendicular to its surface. The crystal spacing is 0.18 nm, and the first maximum scattering occurs at 80° relative to the normal to the surface. (e = 1.60 × 10^-19 C, m_electron = 9.11 × 10^-13 kg, h = 6.626 × 10^-34 J ∙ s) (a) What is the wavelength of the electrons? (b) What potential difference accelerated the electrons if they started from rest?

(Short Answer)

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Question 36

In her physics laboratory, Mathilda shines electromagnetic radiation on a material and collects photoelectric data to determine Planck's constant. She measures a stopping potential of 5.82 V for radiation of wavelength 100 nm, and 17.99 V for radiation of wavelength 50.0 nm. (1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s) (a) Using Mathilda's data, what value does she determine for Planck's constant? (b) What is the work function of the material Mathilda is using, in electron-volts?

(Short Answer)

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Question 37

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

(Multiple Choice)

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Question 38

Electrons emerge from an electron gun with a speed of 2.0 × 10⁶ m/s and then pass through a double-slit apparatus. Interference fringes with spacing of 2.7 mm are detected on a screen far from the double slit. What would the fringe spacing be if the electrons were replaced by neutrons with the same speed? (h = 6.626 × 10^-34 J ∙ s, m_electron = 9.11 × 10^-31 kg, m_neutron = 1.675 × 10^-27 kg)

(Multiple Choice)

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Question 39

Atoms in crystals are typically separated by distances of 0.10 nm. What kinetic energy must a nonrelativistic electron have, in electron-volts, in order to have a wavelength of 0.10 nm? (m_electron = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

(Short Answer)

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Question 40

Showing 21 - 40 of 86

Exam 28: Quantum Physics

A proton and an electron are both accelerated to the same final kinetic energy. If λp is the de Broglie wavelength of the proton and λe is the de Broglie wavelength of the electron, then

A crystal is irradiated with x-rays with a wavelength of 0.120 nm. The atomic planes in the crystal are separated by 0.21 nm. At what angles of incidence with respect to the normal will the x-rays reflect from the crystal?

For what wavelength does a 100-mW laser beam deliver 1.6 × 1017 photons in one second? (c = 3.0 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

An electron is accelerated from rest through a potential difference. After acceleration the electron has a wavelength of 880 nm. What is the potential difference responsible for the acceleration of the electron? (h = 6.626 × 10-34 J ∙ s, melectron = 9.11 × 10-31 kg, e = 1.6 10-19 C)

A metal has a work function of 4.50 eV. Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal. (1 eV = 1.60 × 10-19 J, c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

Find the de Broglie wavelength of a 1.30-kg missile moving at 28.10 m/s. 28.10 \mathrm {~m} / \mathrm { s } \text {. }28.10 m/s. (h = 6.626 × 10-34 J ∙ s)

If an electron has a wavelength of 0.123 nm, what is its kinetic energy, in electron-volts? This energy is not in the relativistic region. (melectron = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

If the work function of a metal surface is 2.20 eV, what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

A photocathode having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 3.4 eV. What is maximum kinetic energy of the photoelectrons produced?(c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

Light with a frequency of 8.70 × 1014 Hz is incident on a metal that has a work function of 2.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

An electron is moving with the speed of 1780 m/s. What is its de Broglie wavelength? (melectron = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s)

A laser emits a pulse of light that lasts 10 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 480 mJ. How many photons are emitted in each pulse? (c = 3.0 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

A monochromatic light beam is incident on the surface of a metal having a work function of 2.50 eV. If a 1.0-V stopping potential is required to make the electron current zero, what is the wavelength of light? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

If an electron has the same de Broglie wavelength as the wavelength of a 390-nm photon in vacuum, what is the speed of the electron? (melectron = 9.11 × 10-31 kg, c = 3.0 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10-19 J, c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

Atoms in crystals are typically separated by distances of 0.10 nm. What kinetic energy must a nonrelativistic electron have, in electron-volts, in order to have a wavelength of 0.10 nm? (melectron = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

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A proton and an electron are both accelerated to the same final kinetic energy. If λ_p is the de Broglie wavelength of the proton and λ_e is the de Broglie wavelength of the electron, then

For what wavelength does a 100-mW laser beam deliver 1.6 × 10¹⁷ photons in one second? (c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

An electron is accelerated from rest through a potential difference. After acceleration the electron has a wavelength of 880 nm. What is the potential difference responsible for the acceleration of the electron? (h = 6.626 × 10^-34J ∙ s, m_electron = 9.11 × 10-31 kg, e = 1.6 10^-19C)

A metal has a work function of 4.50 eV. Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal. (1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

Find the de Broglie wavelength of a 1.30-kg missile moving at $28.10 \mathrm {~m} / \mathrm { s } \text {. }$ (h = 6.626 × 10^-34 J ∙ s)

If an electron has a wavelength of 0.123 nm, what is its kinetic energy, in electron-volts? This energy is not in the relativistic region. (m_electron = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

If the work function of a metal surface is 2.20 eV, what frequency of incident light would give a maximum kinetic energy of 0.25 eV to the photoelectrons ejected from this surface? (1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

A photocathode having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 3.4 eV. What is maximum kinetic energy of the photoelectrons produced?(c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

Light with a frequency of 8.70 × 10¹⁴ Hz is incident on a metal that has a work function of 2.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

An electron is moving with the speed of 1780 m/s. What is its de Broglie wavelength? (m_electron = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s)

A laser emits a pulse of light that lasts 10 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 480 mJ. How many photons are emitted in each pulse? (c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

A monochromatic light beam is incident on the surface of a metal having a work function of 2.50 eV. If a 1.0-V stopping potential is required to make the electron current zero, what is the wavelength of light? (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

If an electron has the same de Broglie wavelength as the wavelength of a 390-nm photon in vacuum, what is the speed of the electron? (m_electron = 9.11 × 10^-31 kg, c = 3.0 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

Light with a wavelength of 310 nm is incident on a metal that has a work function of 3.80 eV. What is the maximum kinetic energy that a photoelectron ejected in this process can have? (1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

Atoms in crystals are typically separated by distances of 0.10 nm. What kinetic energy must a nonrelativistic electron have, in electron-volts, in order to have a wavelength of 0.10 nm? (m_electron = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)