Question 1

The uncertainty principle was derived by whom?

Accepted Answer

A) Schrödinger 
B) Heisenberg 
C) de Broglie 
D) Compton 
A) Schrödinger 
B) Heisenberg 
C) de Broglie 
D) Compton

Question 2

The "seeing" ability or resolution of radiation is determined by its wavelength.If the size of an atom is approximately 1.3 × 10−10 m,how fast must an electron travel to have a wavelength smaller than that of an atom? (me = 9.11 × 10−31 kg and h = 6.63 × 10−34 J⋅s)

Accepted Answer

A) 5.6E+6 m/s 
B) 5.1E+7 m/s 
C) 8.4E+5 m/s 
D) 9.5E+6 m/s 
E) ​2.4E+3 m/s 
A) 5.6E+6 m/s 
B) 5.1E+7 m/s 
C) 8.4E+5 m/s 
D) 9.5E+6 m/s 
E) ​2.4E+3 m/s

Question 3

X-rays with an energy of 400 keV undergo Compton scattering from a target. The scattered rays are deflected at an angle of 38° relative to the direction of the incident rays.
-​What is the energy of the scattered x-rays?

Accepted Answer

A) ​343 keV 
B) ​300 keV 
C) ​400 keV 
D) ​2410 keV 
A) ​343 keV 
B) ​300 keV 
C) ​400 keV 
D) ​2410 keV

Question 4

Light of wavelength 521 nm is incident on a target metal that has a work function of 1.6 eV.What stopping potential is required for this combination in a phototube? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

Accepted Answer

A) 4.0 V 
B) 0.8 V 
C) 2.0 V 
D) 0.4 V 
E) ​2.4 V 
A) 4.0 V 
B) 0.8 V 
C) 2.0 V 
D) 0.4 V 
E) ​2.4 V

Question 5

If the measured momentum of an electron is 3.6 × 10−27 kg⋅m/s with an uncertainty of 2.6 × 10−29 kg⋅m/s,what is the minimum uncertainty in the position? (h = 6.63 × 10−34 J⋅s)

Accepted Answer

A) 1.5E-8 m 
B) 2.0E-6 m 
C) 2.6E-5 m 
D) 2.9E-6 m 
E) ​7.2E-3 m 
A) 1.5E-8 m 
B) 2.0E-6 m 
C) 2.6E-5 m 
D) 2.9E-6 m 
E) ​7.2E-3 m

Question 6

An important use of x-ray diffraction was:

Accepted Answer

A) the observation of Compton scattering. 
B) determining the structure of the DNA molecule. 
C) production of positrons. 
D) observation of the photoelectric effect. 
A) the observation of Compton scattering. 
B) determining the structure of the DNA molecule. 
C) production of positrons. 
D) observation of the photoelectric effect.

Question 7

Planck's quantum theory is compatible with the experimental data related to which of the following?

Accepted Answer

A) blackbody radiation 
B) the photoelectric effect 
C) line spectra emitted by hydrogen gas 
D) all of the above 
A) blackbody radiation 
B) the photoelectric effect 
C) line spectra emitted by hydrogen gas 
D) all of the above

Question 8

What is the wavelength of a monochromatic light beam,where the photon energy is 4.14 × 10−19 J? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,and 1 nm = 10−9 m)

Accepted Answer

A) 160 nm 
B) 480 nm 
C) 72 nm 
D) 187 nm 
E) ​915 nm 
A) 160 nm 
B) 480 nm 
C) 72 nm 
D) 187 nm 
E) ​915 nm

Question 9

An electron and an alpha particle (a helium-4 nucleus)each have the same non-relativistic speed.Which has the greatest kinetic energy,and which has the shortest de Broglie wavelength?

Accepted Answer

A) the alpha particle,the alpha particle 
B) the alpha particle,the electron 
C) the electron,the alpha particle 
D) the electron,the electron 
A) the alpha particle,the alpha particle 
B) the alpha particle,the electron 
C) the electron,the alpha particle 
D) the electron,the electron

Question 10

According to Wien's displacement law,if the absolute temperature of a radiating blackbody is tripled,then the peak wavelength emitted will change by what factor?

Accepted Answer

A) 1/3 
B) 1 
C) 3 
D) 9 
A) 1/3 
B) 1 
C) 3 
D) 9

Question 11

What is the maximum velocity of a photoelectron emitted from a surface with work function 3.5 eV when illuminated by 289 nm ultraviolet light? (melectron = 9.11 × 10−31 kg,h = 6.63 × 10−34 J⋅s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

Accepted Answer

A) 3.75E+5 m/s 
B) 5.31E+5 m/s 
C) 7.28E+2 m/s 
D) 8.62E+5 m/s 
E) ​1.60E+6 m/s 
A) 3.75E+5 m/s 
B) 5.31E+5 m/s 
C) 7.28E+2 m/s 
D) 8.62E+5 m/s 
E) ​1.60E+6 m/s

Question 12

A proton and an electron each have the same de Broglie wavelength.(i)Which has the greater speed,and (ii)which has the greater kinetic energy?

Accepted Answer

A) (i)the electron, (ii)Either one can have the greater kinetic energy. 
B) (i)the proton, (ii)Either one can have the greater kinetic energy. 
C) (i)the electron, (ii)the electron 
D) (i)the proton, (ii)the proton 
A) (i)the electron, (ii)Either one can have the greater kinetic energy. 
B) (i)the proton, (ii)Either one can have the greater kinetic energy. 
C) (i)the electron, (ii)the electron 
D) (i)the proton, (ii)the proton

Question 13

A light beam is shining on a metal target that has a work function of 1.8 eV.If a stopping potential of 0.7 V is required,what is the wavelength of the incoming monochromatic light? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

Accepted Answer

A) 497 nm 
B) 166 nm 
C) 796 nm 
D) 1130 nm 
E) ​691 nm 
A) 497 nm 
B) 166 nm 
C) 796 nm 
D) 1130 nm 
E) ​691 nm

Question 14

How much energy (in eV)does a photon of orange light (λ = 609 nm)have? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

Accepted Answer

A) 3.27 eV 
B) 0.31 eV 
C) 2.04 eV 
D) 0.68 eV 
E) ​5.23 eV 
A) 3.27 eV 
B) 0.31 eV 
C) 2.04 eV 
D) 0.68 eV 
E) ​5.23 eV

Exam 27: Quantum Physics

The uncertainty principle was derived by whom?

The "seeing" ability or resolution of radiation is determined by its wavelength.If the size of an atom is approximately 1.3 × 10−10 m,how fast must an electron travel to have a wavelength smaller than that of an atom? (me = 9.11 × 10−31 kg and h = 6.63 × 10−34 J⋅s)

X-rays with an energy of 400 keV undergo Compton scattering from a target. The scattered rays are deflected at an angle of 38° relative to the direction of the incident rays. -​What is the energy of the scattered x-rays?

Light of wavelength 521 nm is incident on a target metal that has a work function of 1.6 eV.What stopping potential is required for this combination in a phototube? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

If the measured momentum of an electron is 3.6 × 10−27 kg⋅m/s with an uncertainty of 2.6 × 10−29 kg⋅m/s,what is the minimum uncertainty in the position? (h = 6.63 × 10−34 J⋅s)

An important use of x-ray diffraction was:

Planck's quantum theory is compatible with the experimental data related to which of the following?

What is the wavelength of a monochromatic light beam,where the photon energy is 4.14 × 10−19 J? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,and 1 nm = 10−9 m)

An electron and an alpha particle (a helium-4 nucleus)each have the same non-relativistic speed.Which has the greatest kinetic energy,and which has the shortest de Broglie wavelength?

According to Wien's displacement law,if the absolute temperature of a radiating blackbody is tripled,then the peak wavelength emitted will change by what factor?

What is the maximum velocity of a photoelectron emitted from a surface with work function 3.5 eV when illuminated by 289 nm ultraviolet light? (melectron = 9.11 × 10−31 kg,h = 6.63 × 10−34 J⋅s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

A proton and an electron each have the same de Broglie wavelength.(i)Which has the greater speed,and (ii)which has the greater kinetic energy?

A light beam is shining on a metal target that has a work function of 1.8 eV.If a stopping potential of 0.7 V is required,what is the wavelength of the incoming monochromatic light? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

How much energy (in eV)does a photon of orange light (λ = 609 nm)have? (h = 6.63 × 10−34 J⋅s,c = 3.00 × 108 m/s,1 eV = 1.60 × 10−19 J,and 1 nm = 10−9 m)

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Filters

The "seeing" ability or resolution of radiation is determined by its wavelength.If the size of an atom is approximately 1.3 × 10−¹⁰ m,how fast must an electron travel to have a wavelength smaller than that of an atom? (m_e = 9.11 × 10−³¹ kg and h = 6.63 × 10−³⁴ J⋅s)

X-rays with an energy of 400 keV undergo Compton scattering from a target. The scattered rays are deflected at an angle of 38° relative to the direction of the incident rays. -What is the energy of the scattered x-rays?

Light of wavelength 521 nm is incident on a target metal that has a work function of 1.6 eV.What stopping potential is required for this combination in a phototube? (h = 6.63 × 10−³⁴ J⋅s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10−¹⁹ J,and 1 nm = 10−⁹ m)

If the measured momentum of an electron is 3.6 × 10−²⁷ kg⋅m/s with an uncertainty of 2.6 × 10−²⁹ kg⋅m/s,what is the minimum uncertainty in the position? (h = 6.63 × 10−³⁴ J⋅s)

What is the wavelength of a monochromatic light beam,where the photon energy is 4.14 × 10−¹⁹ J? (h = 6.63 × 10−³⁴ J⋅s,c = 3.00 × 10⁸ m/s,and 1 nm = 10−⁹ m)

What is the maximum velocity of a photoelectron emitted from a surface with work function 3.5 eV when illuminated by 289 nm ultraviolet light? (m_electron = 9.11 × 10−³¹ kg,h = 6.63 × 10−³⁴ J⋅s,1 eV = 1.60 × 10−¹⁹ J,and 1 nm = 10−⁹ m)

A light beam is shining on a metal target that has a work function of 1.8 eV.If a stopping potential of 0.7 V is required,what is the wavelength of the incoming monochromatic light? (h = 6.63 × 10−³⁴ J⋅s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10−¹⁹ J,and 1 nm = 10−⁹ m)

How much energy (in eV)does a photon of orange light (λ = 609 nm)have? (h = 6.63 × 10−³⁴ J⋅s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10−¹⁹ J,and 1 nm = 10−⁹ m)