Exam 38: Photons: Light Waves Behaving As Particles

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? ,h = 1.055 × 10^-34 J • s,m_proton = 1.67 × 10^-27 kg)

(Multiple Choice)

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Question 21

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

(Multiple Choice)

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Question 22

A stopping potential of 0.50 V is required when a phototube is illuminated with monochromatic light of wavelength 590 nm.Monochromatic light of a different wavelength is now shown on the tube,and the stopping potential is measured to be 2.30 V.What is the wavelength of this new light? (c = 3.00 × 10⁸ m/s, , ,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 23

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? ( h = 1.055 × 10^-34 J • s,

(Multiple Choice)

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Question 24

In a photoelectric effect experiment,electrons emerge from a copper surface with a maximum kinetic energy of 1.10 eV when light shines on the surface.The work function of copper is 4.65 eV.Which one of the following values is closest to the wavelength of the light? ,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 25

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)

(Multiple Choice)

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Question 26

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

(Multiple Choice)

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Question 27

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^-34J • s,c = 3.00 × 10⁸ m/s,

(Multiple Choice)

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Question 28

When a metal surface is illuminated with light of wavelength 437 nm,the stopping potential for photoelectrons is 1.67 V.(c = 3.00 × 10⁸ m/s, , , 1 eV = 1.60 × 10^-19 J,m_el = 9.11 × 10^-31 kg) (a)What is the work function of the metal,in eV? (b)What is the maximum speed of the ejected electrons?

(Short Answer)

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Question 29

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron.What is the wavelength of the scattered photon? (m_el = 9.11 × 10^-31 kg, ,c = 3.00 × 10⁸ m/s)

(Multiple Choice)

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Question 30

A nonrelativistic electron is confined to a length of 500 pm on the x-axis.What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? (h = 1.055 × 10^-34 J • s,m_el = 9.11 × 10^-3¹ kg,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 31

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s,

(Multiple Choice)

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Question 32

A metal having a work function of 2.5 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.For which one of the following ranges of the wavelength band in this white light are photoelectrons NOT produced? , c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 33

A small dust particle of mass 7.90 × 10^-6 g is being observed under a magnifying lens.Its position is determined to within 0.0050 mm.(1 y = 3.156 × 10⁷ s, (a)Find the minimum uncertainty in its velocity implied by the uncertainty in its position. (b)Assuming the dust particle is moving at the speed you just found,how many years would it take for the particle to move 1.0 mm?

(Short Answer)

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Question 34

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? ,h = 6.626 × 10^-34 J • s = 4.141 × 10^-15 ev • s,1 eV = 1.60 × 10^-19 J)

(Multiple Choice)

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Question 35

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

(Multiple Choice)

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Question 36

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

(Multiple Choice)

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Question 37

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? (m_el = 9.11 × 10^-31 kg, ,h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

(Short Answer)

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Question 38

Showing 21 - 38 of 38

Exam 38: Photons: Light Waves Behaving As Particles

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? ,h = 1.055 × 10-34 J • s,mproton = 1.67 × 10-27 kg)

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 (h = 6.626 × 10-34 J ∙ s,c = 3.00 × 108 m/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? ( h = 1.055 × 10-34 J • 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)

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? ( h = 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,

When a metal surface is illuminated with light of wavelength 437 nm,the stopping potential for photoelectrons is 1.67 V.(c = 3.00 × 108 m/s, , , 1 eV = 1.60 × 10-19 J,mel = 9.11 × 10-31 kg) (a)What is the work function of the metal,in eV? (b)What is the maximum speed of the ejected electrons?

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron.What is the wavelength of the scattered photon? (mel = 9.11 × 10-31 kg, ,c = 3.00 × 108 m/s)

A nonrelativistic electron is confined to a length of 500 pm on the x-axis.What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? (h = 1.055 × 10-34 J • s,mel = 9.11 × 10-31 kg,1 eV = 1.60 × 10-19 J)

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s,

A metal having a work function of 2.5 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.For which one of the following ranges of the wavelength band in this white light are photoelectrons NOT produced? , c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? ,h = 6.626 × 10-34 J • s = 4.141 × 10-15 ev • 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? ( h = 1.055 × 10-34 J • s = 6.591 × 10-16 eV • s,

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

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, ,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 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? ,h = 1.055 × 10^-34 J • s,m_proton = 1.67 × 10^-27 kg)

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 (h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/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? ( h = 1.055 × 10^-34 J • 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)

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? ( h = 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^-34J • s,c = 3.00 × 10⁸ m/s,

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron.What is the wavelength of the scattered photon? (m_el = 9.11 × 10^-31 kg, ,c = 3.00 × 10⁸ m/s)

A nonrelativistic electron is confined to a length of 500 pm on the x-axis.What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? (h = 1.055 × 10^-34 J • s,m_el = 9.11 × 10^-3¹ kg,1 eV = 1.60 × 10^-19 J)

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s,

A metal having a work function of 2.5 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.For which one of the following ranges of the wavelength band in this white light are photoelectrons NOT produced? , c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV.What is the maximum kinetic energy of the photoelectrons emitted from the metal? ,h = 6.626 × 10^-34 J • s = 4.141 × 10^-15 ev • 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? ( h = 1.055 × 10^-34 J • s = 6.591 × 10^-16 eV • 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? (m_el = 9.11 × 10^-31 kg, ,h = 6.626 × 10^-34 J • s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)