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Multiple Choice Quiz
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Please answer all questions.

1
Compute the de Broglie wavelength of an electron that has been accelerated through a potential difference of 9.0 kV. Ignore relativistic effects.
A)1.3 x 10-11 m
B)1.7 x 10-22 m
C)1.2 x 10-26 m
D)5.2 x 10-21 m
2
Which of the following is false about the uncertainty principle?
A)The uncertainty principle is an important relationship between position and momentum.
B)The uncertainty principle is an important relationship between energy and time.
C)The uncertainty principle is an important relationship between energy and position.
D)The uncertainty principle helped overthrow the idea of strict determinism in physics.
3
The wave-particle duality theory is the first to give an adequate explanation of which of the following facts about the hydrogen atom?
A)Why more than one possible orbit exists for the electron.
B)Why only certain energies are possible for the orbiting electron.
C)Why more than one momentum is possible for the orbiting electron.
D)None of these are correct.
4
An image of a biological sample is to have a resolution of 5 nm. (a) What is the kinetic energy of a beam of electrons with a de Broglie wavelength of 5.0 nm? (b) Through what potential difference should the electrons be accelerated to have this wavelength? (c) Why not just use a light microscope with a wavelength of 5 nm to image the sample?
A)(a) 0.030 eV; (b) 0.030 V; (c) 7 nm is an x-ray wavelength
B)(a) 0.060 eV; (b) 0.060 V; (c) 7 nm is an x-ray wavelength
C)(a) 0.060 eV; (b) 0.060 V; (c) 5 nm is an x-ray wavelength
D)(a) 0.030 eV; (b) 0.060 V; (c) 5 nm is an x-ray wavelength
E)(a) 0.060 eV; (b) 0.030 V; (c) 5 nm is an x-ray wavelength
5
An electron confined to a one-dimensional box has a ground-state energy of 40.0 eV. (a) If the electron makes a transition from its first excited state to the ground state, what is the wavelength of the emitted photon? (b) If the box were somehow made twice as long, how would the photon's energy change for the same transition (first excited state to ground state)?
A)(a) 10.3 nm; (b) energy reduced to one-half its original value
B)(a) 14.5 nm; (b) energy reduced to one-fourth its original value
C)(a) 13.8 nm; (b) energy reduced to one-fourth its original value
D)(a) 10.3 nm; (b) energy reduced to one-fourth its original value
E)(a) 14.5 nm; (b) energy reduced to one-half its original value
6
How many magnetic substates are possible in an f subshell?
A)2
B)5
C)7
D)10
7
In quantum mechanical theory, it is possible for a particle confined to a region surrounded by a high potential barrier to escape by
A)tunneling.
B)barrier climbing.
C)energy relocation.
D)conversion of mass to energy.
8
The operation of the electron microscope depends on the
A)very short wavelength of X-rays.
B)electromagnetic theory of waves.
C)wave nature of electrons.
D)photoelectric effect.







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