Estimate the number of photons emitted by the Sun in a second.The power output from the Sun is 4 $\times$ 1026 W and assume that the average wavelength of each photon is 550 nm.

A) 1026 B) 1045 C) 1023 D) 1028 E) none of the above A) 1026 B) 1045 C) 1023 D) 1028 E) none of the above B

A) behaves like a water wave. B) exhibits diffraction. C) exhibits interference. D) has its energy spread out continuously in space and time. E) is described by all of the above. A) behaves like a water wave. B) exhibits diffraction. C) exhibits interference. D) has its energy spread out continuously in space and time. E) is described by all of the above.

An electron (me = 9.11 $\times$ 10-31 kg)traveling with a velocity of 5.50 $\times$ 106 m/s has a de Broglie wavelength of approximately

A) 0.0710 nm B) 0.130 nm C) 0.180 nm D) 0.230 nm E) 0.550 nm A) 0.0710 nm B) 0.130 nm C) 0.180 nm D) 0.230 nm E) 0.550 nm

Exam 34: Wave Particle Duality and Quantum Physics

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Estimate the number of photons emitted by the Sun in a second.The power output from the Sun is 4 $\times$ 10²⁶ W and assume that the average wavelength of each photon is 550 nm.

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Question 1

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The pupil area of the human eye is ~ 1 $\times$ 10^-5 m².The minimum light intensity that the eye is sensitive to is ~ 1 $\times$ 10^-10 Wm^-2.How many photons per second of wavelength 550 nm does this correspond to?

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Question 2

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The wave function for waves on a string is

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Question 3

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What is the momentum (in SI units)of a photon of wavelength $\lambda$ = 560 nm? (Planck's constant h = 6.626 $\times$ 10^-34 J·s.)

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Question 4

A classical wave

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Question 5

The wavelength of the electromagnetic radiation emitted when an electron confined to a box of length 0.200 nm makes a transition from the n = 3 to n = 1 level is approximately

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Question 6

A particle is confined in a one-dimensional box.The ground-state energy is E.If a second particle of twice the mass is placed in a second box of twice the length,its ground-state energy is

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Question 7

Use the following figure for the next two questions. $Use the following figure for the next two questions. Apparatus for studying the photoelectric effect -The work function of the material being investigated is 3.8 \times 10<sup>-19</sup> J.Light of a wavelength 350 nm is incident on the material.What is the lowest voltage needed between the cathode (C)and the anode (A)to stop any electrons ejected from the cathode from reaching the anode?$ Apparatus for studying the photoelectric effect -The work function of the material being investigated is 3.8 $\times$ 10^-19 J.Light of a wavelength 350 nm is incident on the material.What is the lowest voltage needed between the cathode (C)and the anode (A)to stop any electrons ejected from the cathode from reaching the anode?

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Question 8

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 4 cm.What is the probability of finding the particle at x = 1 cm?

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Question 9

The wavelength of red light is closest to

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Question 10

An electron in the hydrogen atom (ground-state energy = -13.6 eV)makes a transition from the n = 2 to the n = 4 energy level.Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

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Question 11

Photons with an energy of 7.52 eV strike a material that has a work function of 4.22 eV.The maximum kinetic energy of the electron emitted from this material is

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Question 12

An electron is in a one-dimensional box of length 0.5 nm.The wavelength of the photon emitted as the electron transitions from its second excited state to its ground state is

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Question 13

The Davisson and Germer experiment verified that

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Question 14

A Compton-scattered X-ray photon has less energy than the incident photon.The scattered photon therefore

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Question 15

An electron (m_e = 9.11 $\times$ 10^-31 kg)traveling with a velocity of 5.50 $\times$ 10⁶ m/s has a de Broglie wavelength of approximately

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Question 16

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in $\Delta$ x = 0.01L at x = L/3 is

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Question 17

A 10.0-kg mass moving with a velocity of 100 m/s has a de Broglie wavelength of approximately

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Question 18

Albert Einstein was awarded the Nobel Prize for his

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Question 19

Use the following figure for the next problem. -The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV.The wavelength of the electrons is

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Question 20

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Exam 34: Wave Particle Duality and Quantum Physics

Estimate the number of photons emitted by the Sun in a second.The power output from the Sun is 4 ×\times× 1026 W and assume that the average wavelength of each photon is 550 nm.

The pupil area of the human eye is ~ 1 ×\times× 10-5 m2.The minimum light intensity that the eye is sensitive to is ~ 1 ×\times× 10-10 Wm-2.How many photons per second of wavelength 550 nm does this correspond to?

The wave function for waves on a string is

What is the momentum (in SI units)of a photon of wavelength λ\lambdaλ = 560 nm? (Planck's constant h = 6.626 ×\times× 10-34 J·s.)

A classical wave

The wavelength of the electromagnetic radiation emitted when an electron confined to a box of length 0.200 nm makes a transition from the n = 3 to n = 1 level is approximately

A particle is confined in a one-dimensional box.The ground-state energy is E.If a second particle of twice the mass is placed in a second box of twice the length,its ground-state energy is

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 4 cm.What is the probability of finding the particle at x = 1 cm?

The wavelength of red light is closest to

An electron in the hydrogen atom (ground-state energy = -13.6 eV)makes a transition from the n = 2 to the n = 4 energy level.Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

Photons with an energy of 7.52 eV strike a material that has a work function of 4.22 eV.The maximum kinetic energy of the electron emitted from this material is

An electron is in a one-dimensional box of length 0.5 nm.The wavelength of the photon emitted as the electron transitions from its second excited state to its ground state is

The Davisson and Germer experiment verified that

A Compton-scattered X-ray photon has less energy than the incident photon.The scattered photon therefore

An electron (me = 9.11 ×\times× 10-31 kg)traveling with a velocity of 5.50 ×\times× 106 m/s has a de Broglie wavelength of approximately

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in Δ\DeltaΔ x = 0.01L at x = L/3 is

A 10.0-kg mass moving with a velocity of 100 m/s has a de Broglie wavelength of approximately

Albert Einstein was awarded the Nobel Prize for his

Use the following figure for the next problem. -The electrons coming out of the electron gun in an electron microscope are being accelerated by a potential of 100 kV.The wavelength of the electrons is

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Estimate the number of photons emitted by the Sun in a second.The power output from the Sun is 4 $\times$ 10²⁶ W and assume that the average wavelength of each photon is 550 nm.

The pupil area of the human eye is ~ 1 $\times$ 10^-5 m².The minimum light intensity that the eye is sensitive to is ~ 1 $\times$ 10^-10 Wm^-2.How many photons per second of wavelength 550 nm does this correspond to?

What is the momentum (in SI units)of a photon of wavelength $\lambda$ = 560 nm? (Planck's constant h = 6.626 $\times$ 10^-34 J·s.)

An electron (m_e = 9.11 $\times$ 10^-31 kg)traveling with a velocity of 5.50 $\times$ 10⁶ m/s has a de Broglie wavelength of approximately

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in $\Delta$ x = 0.01L at x = L/3 is