Exam 38: Photons: Light Waves Behaving As Particles

A beam of X-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam.What is the change in the wavelength of the X-rays? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

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Question 1

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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? ,1 eV = 1.60 × 10^-19 J)

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Question 2

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A photon of initial wavelength 0.651 nm,after being scattered from a free electron at rest,moves off at an angle of 120° with respect to its incident direction. , , (a)What is the wavelength of the scattered photon? (b)What is the energy of the scattered photon?

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Question 3

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(a)0.655 nm
(b)3.04 × 10^-16 J

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

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Question 4

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

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Question 5

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

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Question 6

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J • s)

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Question 7

A laser emits light of wavelength 463 nm during a brief pulse that lasts for 25 ms and has a total energy of 1.2 J.How many photons are emitted in that single pulse? , h = 6.626 × 10^-34 J • s)

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Question 8

A beam of red light and a beam of violet light each deliver the same power on a surface.For which beam is the number of photons hitting the surface per second the greatest?

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Question 9

A measurement of an electron's speed is 2.0 × 10⁶ m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10^-34 J • s,m_el = 9.11 × 10^-31 kg)

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Question 10

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

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Question 11

A molecule of roughly spherical shape has a mass of 6.10 × 10^-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

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Question 12

In a particular case of Compton scattering,a photon collides with a free electron and scatters backwards.The wavelength after the collision is exactly double the wavelength before the collision.What is the wavelength of the incident photon? (m_el = 9.11 × 10^-31 kg, ,c = 3.00 × 10⁸ m/s)

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Question 13

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm. ,h = 6.626 × 10^-34 J • s,e = - 1.60 × 10^-19 C,1 eV = 1.60 × 10^-19 J)

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Question 14

A certain particle's energy is measured by a detector to within 1.0 × 10^-18.What is the minimum uncertainty we can have in its arrival time at the detector?

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Question 15

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ,1 eV = 1.60 × 10^-19 J) (a)What is the average lifetime of this state? (b)If the excited energy were doubled to 6.4 eV ± 0.21 eV,how would the lifetime be affected?

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Question 16

A photon of wavelength 29 pm is scattered by a stationary electron.What is the maximum possible energy loss of the photon? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,

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Question 17

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10^-34 J • s = 6.591 × 10^-16 eV • s,

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Question 18

If the accuracy in measuring the position of a particle increases,the accuracy in measuring its velocity will

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Question 19

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, ,1 eV = 1.60 × 10^-19 J)

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Question 20

Showing 1 - 20 of 38

Exam 38: Photons: Light Waves Behaving As Particles

A beam of X-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam.What is the change in the wavelength of the X-rays? (mel = 9.11 × 10-31 kg,h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

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? ,1 eV = 1.60 × 10-19 J)

A photon of initial wavelength 0.651 nm,after being scattered from a free electron at rest,moves off at an angle of 120° with respect to its incident direction. , , (a)What is the wavelength of the scattered photon? (b)What is the energy of the scattered photon?

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10-34 J • s)

A laser emits light of wavelength 463 nm during a brief pulse that lasts for 25 ms and has a total energy of 1.2 J.How many photons are emitted in that single pulse? , h = 6.626 × 10-34 J • s)

A beam of red light and a beam of violet light each deliver the same power on a surface.For which beam is the number of photons hitting the surface per second the greatest?

A measurement of an electron's speed is 2.0 × 106 m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10-34 J • s,mel = 9.11 × 10-31 kg)

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

A molecule of roughly spherical shape has a mass of 6.10 × 10-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

In a particular case of Compton scattering,a photon collides with a free electron and scatters backwards.The wavelength after the collision is exactly double the wavelength before the collision.What is the wavelength of the incident photon? (mel = 9.11 × 10-31 kg, ,c = 3.00 × 108 m/s)

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm. ,h = 6.626 × 10-34 J • s,e = - 1.60 × 10-19 C,1 eV = 1.60 × 10-19 J)

A certain particle's energy is measured by a detector to within 1.0 × 10-18.What is the minimum uncertainty we can have in its arrival time at the detector?

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ,1 eV = 1.60 × 10-19 J) (a)What is the average lifetime of this state? (b)If the excited energy were doubled to 6.4 eV ± 0.21 eV,how would the lifetime be affected?

A photon of wavelength 29 pm is scattered by a stationary electron.What is the maximum possible energy loss of the photon? (mel = 9.11 × 10-31 kg,h = 6.626 × 10-34 J • s,

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10-34 J • s = 6.591 × 10-16 eV • s,

If the accuracy in measuring the position of a particle increases,the accuracy in measuring its velocity will

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, ,1 eV = 1.60 × 10-19 J)

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A beam of X-rays at a certain wavelength are scattered from a free electron at rest and the scattered beam is observed at 45.0° to the incident beam.What is the change in the wavelength of the X-rays? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

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? ,1 eV = 1.60 × 10^-19 J)

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s)

An 84-kW AM radio station broadcasts at 1000 kHz .How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J • s)

A laser emits light of wavelength 463 nm during a brief pulse that lasts for 25 ms and has a total energy of 1.2 J.How many photons are emitted in that single pulse? , h = 6.626 × 10^-34 J • s)

A measurement of an electron's speed is 2.0 × 10⁶ m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10^-34 J • s,m_el = 9.11 × 10^-31 kg)

A molecule of roughly spherical shape has a mass of 6.10 × 10^-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

In a particular case of Compton scattering,a photon collides with a free electron and scatters backwards.The wavelength after the collision is exactly double the wavelength before the collision.What is the wavelength of the incident photon? (m_el = 9.11 × 10^-31 kg, ,c = 3.00 × 10⁸ m/s)

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm. ,h = 6.626 × 10^-34 J • s,e = - 1.60 × 10^-19 C,1 eV = 1.60 × 10^-19 J)

A certain particle's energy is measured by a detector to within 1.0 × 10^-18.What is the minimum uncertainty we can have in its arrival time at the detector?

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ,1 eV = 1.60 × 10^-19 J) (a)What is the average lifetime of this state? (b)If the excited energy were doubled to 6.4 eV ± 0.21 eV,how would the lifetime be affected?

A photon of wavelength 29 pm is scattered by a stationary electron.What is the maximum possible energy loss of the photon? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J • s,

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10^-34 J • s = 6.591 × 10^-16 eV • s,

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, ,1 eV = 1.60 × 10^-19 J)