Question 1

An electron is in a one-dimensional box of length 0.5 nm.The energy of this electron in its second excited state is

Accepted Answer

A) 37.6 eV 
B) 27.4 eV 
C) 13.5 eV 
D) 6.02 eV 
E) 1.50 eV 
A) 37.6 eV 
B) 27.4 eV 
C) 13.5 eV 
D) 6.02 eV 
E) 1.50 eV

Question 2

The fact that particles have a wave nature was first verified by

Accepted Answer

A) the Heisenberg uncertainty principle. 
B) Davisson and Germer's diffraction of electrons experiment. 
C) blackbody radiation studies. 
D) the Bohr theory of the atom. 
E) the photoelectric effect. 
A) the Heisenberg uncertainty principle. 
B) Davisson and Germer's diffraction of electrons experiment. 
C) blackbody radiation studies. 
D) the Bohr theory of the atom. 
E) the photoelectric effect.

Question 3

A gamma-ray photon of energy 1.00 MeV scatters off an electron at an angle perpendicular to its original direction.Calculate the kinetic energy of the recoiling electron.

Accepted Answer

A) 489 keV 
B) 511 keV 
C) 663 keV 
D) 253 keV 
E) 337 keV 
A) 489 keV 
B) 511 keV 
C) 663 keV 
D) 253 keV 
E) 337 keV

Question 4

A proton is in a one-dimensional box of length 2 $\times$ 10-15 m.What is the value of the energy of the n = 5 state divided by the energy of the n = 3 state?

Accepted Answer

A) 1.7 
B) 16 
C) 2.8 
D) 2.0 
E) 0.4 
A) 1.7 
B) 16 
C) 2.8 
D) 2.0 
E) 0.4

Question 5

Use the following figure to answer question.  
-The graphs show $\varPsi$2 as a function of x for a particle in a one-dimensional box of length L.The graph that represents the ninth excited state is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 6

Suppose an electron is confined in a one-dimensional box of width L which is two times the Bohr's radius of 0.0529 nm.The energy of the ground state of the electron is

Accepted Answer

A) 5.38 $\times$ 10-18 J 
B) 2.72 $\times$ 10-18 J 
C) 1.36 $\times$ 10-18 J 
D) 1.09 $\times$ 10-18 J 
E) None of these is correct. 
A) 5.38 $\times$ 10-18 J 
B) 2.72 $\times$ 10-18 J 
C) 1.36 $\times$ 10-18 J 
D) 1.09 $\times$ 10-18 J 
E) None of these is correct.

Question 7

If the frequency of light causing photoemission of electrons is doubled,the kinetic energy of the ejected electrons

Accepted Answer

A) increases by a factor of   
B) doubles. 
C) decreases by a factor of 2. 
D) increases by a factor less than two. 
E) increases by a factor more than two. 
A) increases by a factor of   
B) doubles. 
C) decreases by a factor of 2. 
D) increases by a factor less than two. 
E) increases by a factor more than two.

Question 8

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 10 cm.What is the probability of finding the particle between x = 4.0 cm and x = 5 cm?

Accepted Answer

A) 0.01 
B) 0.04 
C) 0.07 
D) 0.10 
E) 0.14 
A) 0.01 
B) 0.04 
C) 0.07 
D) 0.10 
E) 0.14

Question 9

The uncertainty principle states that

Accepted Answer

A) only momentum and velocity can be described with unlimited precision. 
B) the displacement of a particle can be described with unlimited precision by using quantum mechanics. 
C) nothing is smaller than Planck's constant. 
D) the momentum and displacement cannot be measured simultaneously with unlimited accuracy. 
E) either the momentum or the velocity,but not both,can be measured with unlimited accuracy. 
A) only momentum and velocity can be described with unlimited precision. 
B) the displacement of a particle can be described with unlimited precision by using quantum mechanics. 
C) nothing is smaller than Planck's constant. 
D) the momentum and displacement cannot be measured simultaneously with unlimited accuracy. 
E) either the momentum or the velocity,but not both,can be measured with unlimited accuracy.

Question 10

An electron is in a one-dimensional box of length 0.5 nm.The energy of this electron in its first excited state is

Accepted Answer

A) 37.6 eV 
B) 27.4 eV 
C) 13.5 eV 
D) 6.02 eV 
E) 1.50 eV 
A) 37.6 eV 
B) 27.4 eV 
C) 13.5 eV 
D) 6.02 eV 
E) 1.50 eV

Question 11

Use the following figure for the next two questions.   
Apparatus for studying the photoelectric effect
-The work function of the material being investigated is 3.5 $\times$10-19 J.The battery is set at 1.5 V.What is the longest wavelength of light needed to produce an electric current from the cathode (C)to the anode (A)?

Accepted Answer

A) 337 nm 
B) 354 nm 
C) 620 nm 
D) 827 nm 
E) None of these is correct. 
A) 337 nm 
B) 354 nm 
C) 620 nm 
D) 827 nm 
E) None of these is correct.

Question 12

In Compton scattering of X rays by electrons,the maximum shift in the X-ray wavelength occurs when the scattering angle is

Accepted Answer

A) 180º 
B) 135º 
C) 90º 
D) 45º 
E) 0º 
A) 180º 
B) 135º 
C) 90º 
D) 45º 
E) 0º

Question 13

Photon A has twice the energy of photon B.The ratio of the momentum of A to that of B is

Accepted Answer

A) 4 
B) 2 
C) 1 
D) 1/2 
E) 1/4 
A) 4 
B) 2 
C) 1 
D) 1/2 
E) 1/4

Question 14

The speed of an electron whose de Broglie wavelength is 0.0010 m is approximately

Accepted Answer

A) 7.3 $\times$ 10-7 m/s 
B) 7.3 $\times$ 10-4 m/s 
C) 0.73 m/s 
D) 0.51 km/s 
E) 5.1 $\times$ 105 m/s 
A) 7.3 $\times$ 10-7 m/s 
B) 7.3 $\times$ 10-4 m/s 
C) 0.73 m/s 
D) 0.51 km/s 
E) 5.1 $\times$ 105 m/s

Question 15

Potassium has a work function of 2.3 eV for photoelectric emission.Which of the following wavelengths is the longest wavelength for which photoemission occurs?

Accepted Answer

A) 400 nm 
B) 450 nm 
C) 500 nm 
D) 540 nm 
E) 600 nm 
A) 400 nm 
B) 450 nm 
C) 500 nm 
D) 540 nm 
E) 600 nm

Question 16

When a certain X ray is Compton scattered at right angles to its initial direction,the shift in its wavelength is $\lambda$c = 2.4 pm (1 picometer = 10-12 m).If the wavelength of this X ray is 15.4 pm,the wavelength of the scattered X ray must be closest to

Accepted Answer

A) 2.4 pm 
B) 0.15 pm 
C) 18 pm 
D) 13 pm 
E) 170 pm 
A) 2.4 pm 
B) 0.15 pm 
C) 18 pm 
D) 13 pm 
E) 170 pm

Question 17

Which of the following formulas has the correct units for the linear momentum of a photon?

Accepted Answer

A) hc/$\lambda$ 
B) c/n 
C) l/$\lambda$ 
D) $\lambda$/h 
E) None of these is correct. 
A) hc/$\lambda$ 
B) c/n 
C) l/$\lambda$ 
D) $\lambda$/h 
E) None of these is correct.

Question 18

Use the following equation statement to answer the question. The normalized wave functions for the infinite square-well potential are
  You may find it useful to use
 
-The expectation value <x> for a particle in its first excited (n = 2)state in a box of length L is

Accepted Answer

A) L 
B) 3L/4 
C) L/2 
D) L/4 
E) L/8 
A) L 
B) 3L/4 
C) L/2 
D) L/4 
E) L/8

Question 19

Use the following figure to answer question.  
-The graphs show $\varPsi$2 as a function of x for a particle in a one-dimensional box of length L.The graph that represents the second excited state is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 20

In the Compton effect,

Accepted Answer

A) an electron is stopped suddenly. 
B) an X ray collides with an electron,the electron is ejected,and the X-ray photon ceases to exist. 
C) a neutrino is produced in a nuclear decay. 
D) an energetic photon collides with an electron,and both the electron and the photon are scattered. 
E) None of these is correct. 
A) an electron is stopped suddenly. 
B) an X ray collides with an electron,the electron is ejected,and the X-ray photon ceases to exist. 
C) a neutrino is produced in a nuclear decay. 
D) an energetic photon collides with an electron,and both the electron and the photon are scattered. 
E) None of these is correct.

Exam 34: Wave Particle Duality and Quantum Physics

An electron is in a one-dimensional box of length 0.5 nm.The energy of this electron in its second excited state is

The fact that particles have a wave nature was first verified by

A gamma-ray photon of energy 1.00 MeV scatters off an electron at an angle perpendicular to its original direction.Calculate the kinetic energy of the recoiling electron.

A proton is in a one-dimensional box of length 2 ×\times× 10-15 m.What is the value of the energy of the n = 5 state divided by the energy of the n = 3 state?

Use the following figure to answer question. -The graphs show Ψ\varPsiΨ 2 as a function of x for a particle in a one-dimensional box of length L.The graph that represents the ninth excited state is

Suppose an electron is confined in a one-dimensional box of width L which is two times the Bohr's radius of 0.0529 nm.The energy of the ground state of the electron is

If the frequency of light causing photoemission of electrons is doubled,the kinetic energy of the ejected electrons

A classical point particle moves back and forth with constant speed between two walls at x = 0 and x = 10 cm.What is the probability of finding the particle between x = 4.0 cm and x = 5 cm?

The uncertainty principle states that

An electron is in a one-dimensional box of length 0.5 nm.The energy of this electron in its first excited state is

In Compton scattering of X rays by electrons,the maximum shift in the X-ray wavelength occurs when the scattering angle is

Photon A has twice the energy of photon B.The ratio of the momentum of A to that of B is

The speed of an electron whose de Broglie wavelength is 0.0010 m is approximately

Potassium has a work function of 2.3 eV for photoelectric emission.Which of the following wavelengths is the longest wavelength for which photoemission occurs?

When a certain X ray is Compton scattered at right angles to its initial direction,the shift in its wavelength is λ\lambdaλ c = 2.4 pm (1 picometer = 10-12 m).If the wavelength of this X ray is 15.4 pm,the wavelength of the scattered X ray must be closest to

Which of the following formulas has the correct units for the linear momentum of a photon?

Use the following equation statement to answer the question. The normalized wave functions for the infinite square-well potential are You may find it useful to use -The expectation value <x> for a particle in its first excited (n = 2)state in a box of length L is

Use the following figure to answer question. -The graphs show Ψ\varPsiΨ 2 as a function of x for a particle in a one-dimensional box of length L.The graph that represents the second excited state is

In the Compton effect,

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A proton is in a one-dimensional box of length 2 $\times$ 10^-15 m.What is the value of the energy of the n = 5 state divided by the energy of the n = 3 state?

When a certain X ray is Compton scattered at right angles to its initial direction,the shift in its wavelength is $\lambda$ _c = 2.4 pm (1 picometer = 10^-12 m).If the wavelength of this X ray is 15.4 pm,the wavelength of the scattered X ray must be closest to