Exam 37: Photons: Light Waves Behaving As Particles

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? (c = 3.00 × 10⁸m/s, h = 6.626 × 10^-34 J ∙ s)

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Question 1

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An electron inside a hydrogen atom is confined to within a space of 0.110 nm. What is the minimum uncertainty in the electron's velocity? ( = 1.055 × 10^-34 J ∙ s, mel = 9.11 × 10^-31 kg)

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Question 2

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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? ( = 1.055 × 10^-34J ∙ s)

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Question 3

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A 440-nm spectral line is produced by a transition from an excited state to the ground state. The natural line width of the spectral line is 0.020 pm. The average time the atom spends in the excited state is closest to which of the following? ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

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Question 4

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to 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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Question 5

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 6

X-rays of energy 2.9 × 10⁴ eV are scattered by a free stationary electron through an angle of 135°. What is the energy of the scattered x-rays, in electron volts? (mel = 9.11 × 10^-31 kg, e = - 1.60 × 10^-19 C, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

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Question 7

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, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

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Question 8

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. (c = 3.00 × 10⁸ m/s, 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 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? ( = 1.055 × 10^-34 J ∙ s, ^mel = 9.11 × 10^-31 kg)

(Multiple Choice)

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Question 10

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? ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

(Multiple Choice)

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Question 11

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)

(Multiple Choice)

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Question 12

A metal having a work function of 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

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Question 13

The lifetime of an excited nuclear state is 1.0 ns. What is the minimum uncertainty in the energy of this state? ( = 1.055 × 10^-34 J ∙ s = 6.591 × 10^-16eV ∙ s, 1 eV = 1.60 × 10^-19 J)

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Question 14

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)

(Multiple Choice)

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Question 15

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, c = 3.00 × 10⁸ m/s)

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Question 16

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis. What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? (1 eV = 1.60 × 10^-19 J, = 1.055 × 10^-34 J ∙ s, mproton = 1.67 × 10^-27 kg)

(Multiple Choice)

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Question 17

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. ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

(Short Answer)

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Question 18

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ( = 1.055 × 10^-34 J ∙ s = 6.591 × 10-16 eV ∙ s, 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 19

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

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Question 20

Showing 1 - 20 of 38

Exam 37: Photons: Light Waves Behaving As Particles

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? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

An electron inside a hydrogen atom is confined to within a space of 0.110 nm. What is the minimum uncertainty in the electron's velocity? ( = 1.055 × 10-34 J ∙ s, mel = 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? ( = 1.055 × 10-34 J ∙ s)

A 440-nm spectral line is produced by a transition from an excited state to the ground state. The natural line width of the spectral line is 0.020 pm. The average time the atom spends in the excited state is closest to which of the following? ( = 1.055 × 10-34 J ∙ s = 6.59 × 10-16 eV ∙ s)

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to 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)

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)

X-rays of energy 2.9 × 104 eV are scattered by a free stationary electron through an angle of 135°. What is the energy of the scattered x-rays, in electron volts? (mel = 9.11 × 10-31 kg, e = - 1.60 × 10-19 C, h = 6.626 × 10-34 J ∙ s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

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. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = - 1.60 × 10-19 C, 1 eV = 1.60 × 10-19 J)

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? ( = 1.055 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)

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? ( = 1.055 × 10-34 J ∙ s = 6.59 × 10-16 eV ∙ s)

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 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

The lifetime of an excited nuclear state is 1.0 ns. What is the minimum uncertainty in the energy of this state? ( = 1.055 × 10-34 J ∙ s = 6.591 × 10-16 eV ∙ s, 1 eV = 1.60 × 10-19 J)

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)

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, c = 3.00 × 108 m/s)

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis. What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? (1 eV = 1.60 × 10-19 J, = 1.055 × 10-34 J ∙ s, mproton = 1.67 × 10-27 kg)

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. ( = 1.055 × 10-34 J ∙ s = 6.59 × 10-16 eV ∙ s)

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ( = 1.055 × 10-34 J ∙ s = 6.591 × 10-16 eV ∙ s, 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?

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

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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? (c = 3.00 × 10⁸m/s, h = 6.626 × 10^-34 J ∙ s)

An electron inside a hydrogen atom is confined to within a space of 0.110 nm. What is the minimum uncertainty in the electron's velocity? ( = 1.055 × 10^-34 J ∙ s, mel = 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? ( = 1.055 × 10^-34J ∙ s)

A 440-nm spectral line is produced by a transition from an excited state to the ground state. The natural line width of the spectral line is 0.020 pm. The average time the atom spends in the excited state is closest to which of the following? ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

When a certain metal is illuminated by light, photoelectrons are observed provided that the wavelength of the light is less than 669 nm. Which one of the following values is closest to 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)

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)

X-rays of energy 2.9 × 10⁴ eV are scattered by a free stationary electron through an angle of 135°. What is the energy of the scattered x-rays, in electron volts? (mel = 9.11 × 10^-31 kg, e = - 1.60 × 10^-19 C, h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J)

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. (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s, e = - 1.60 × 10^-19 C, 1 eV = 1.60 × 10^-19 J)

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? ( = 1.055 × 10^-34 J ∙ s, ^mel = 9.11 × 10^-31 kg)

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? ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

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 2.4 eV is illuminated with monochromatic light whose photon energy is 4.0 eV. What is the maximum kinetic energy of the photoelectrons produced by this light? (h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

The lifetime of an excited nuclear state is 1.0 ns. What is the minimum uncertainty in the energy of this state? ( = 1.055 × 10^-34 J ∙ s = 6.591 × 10^-16eV ∙ s, 1 eV = 1.60 × 10^-19 J)

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)

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, c = 3.00 × 10⁸ m/s)

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis. What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? (1 eV = 1.60 × 10^-19 J, = 1.055 × 10^-34 J ∙ s, mproton = 1.67 × 10^-27 kg)

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. ( = 1.055 × 10^-34 J ∙ s = 6.59 × 10^-16 eV ∙ s)

The excited state of a certain atom is 3.2 eV ± 0.21 eV. ( = 1.055 × 10^-34 J ∙ s = 6.591 × 10-16 eV ∙ s, 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?