Halliday D., Resnick R., Walker J. Fundamentals of physics. Test Bank
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21. An electron in an atom initially has an energy 5.5 eV above the ground state energy. It drops
to a state with energy 3.2 eV above the ground state energy and emits a photon in the process.
The wave associated with the photon has a wavelength of:
A. 5.4 × 10
−7
m
B. 3.0 × 10
−7
m
C. 1.7 × 10
−7
m
D. 1.15 × 10
−7
m
E. 1.0 × 10
−7
m
ans: A
22. An electron in an atom drops from an energy level at −1.1 × 10
−18
J to an energy level at
−2.4 × 10
−18
J. The wave associated with the emitted photon has a frequency of:
A. 2.0 × 10
17
Hz
B. 2.0 × 10
15
Hz
C. 2.0 × 10
13
Hz
D. 2.0 × 10
11
Hz
E. 2.0 × 10
9
Hz
ans: B
23. An electron in an atom initially has an energy 7.5 eV above the ground state energy. It drops
to a state with an energy of 3 .2 eV above the ground state energy and emits a photon in the
process. The momentum of the photon is:
A. 1.7 × 10
−27
kg · m/s
B. 2.3 × 10
−27
kg · m/s
C. 4.0 × 10
−27
kg · m/s
D. 5.7 × 10
−27
kg · m/s
E. 8.0 × 10
−27
kg · m/s
ans: B
24. The quantum number n is most closely associated with what property of the electron in a
hydrogen atom?
A. Energy
B. Orbital angular momentum
C. Spin angular momentum
D. Magnetic moment
E. z component of angular momentum
ans: A
25. Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron
and proton. Then, according to quantum theory the energy E
n
of a state with principal
quantum number n is proportional to:
A. n
B. n
2
C. 1/n
D. 1/n
2
E. none of the above
ans: D
Chapter 39: MORE ABOUT MATTER WAVES 591
26. The binding energy of an electron in the ground state in a hydrogen atom is about:
A. 13.6eV
B. 3.4eV
C. 10.2eV
D. 1.0eV
E. 27.2eV
ans: A
27. Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron
and proton. Then the ground state energy is −13.6 eV. The energy of the first excited state is:
A. 0
B. −3.4eV
C. −6.8eV
D. −9.6eV
E. −27 eV
ans: B
28. Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron
and proton. Then the ground state energy is −13.6 eV. The negative sign indicates:
A. the kinetic energy is negative
B. the potential energy is positive
C. the electron might escape from the atom
D. the electron and proton are bound together
E. none of the above
ans: D
29. Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron
and proton. Then the ground state energy of a hydrogen atom is −13.6 eV. When the electron
is in the first excited state its excitation energy is:
A. 0
B. 3.4eV
C. 6.8eV
D. 10.2eV
E. 13.6eV
ans: D
30. Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron
and proton. Then the ground state energy is −13.6 eV. When the electron is in the first excited
state the ionization energy is:
A. 0
B. 3.4eV
C. 6.8eV
D. 10.2eV
E. 13.6eV
ans: B
592 Chapter 39: MORE ABOUT MATTER WAVES
31. The diagram shows the energy levels for an electron in a certain atom. Of the transitions
shown, which represents the emission of a photon with the most energy?
n =4
n =3
n =2
n =1
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E
ans: C
32. When a hydrogen atom makes the transition from the second excited state to the ground state
(at −13.6 eV ) the energy of the photon emitted is:
A. 0
B. 1.5eV
C. 9.1eV
D. 12.1eV
E. 13.6eV
ans: D
33. The series limit for the Balmer series represents a transition m → n, where (m, n)is
A. (2, 1)
B. (3, 2)
C. (∞, 0)
D. (∞, 1)
E. (∞, 2)
ans: E
34. The Balmer series of hydrogen is important because it:
A. is the only one for which the quantum theory can be used
B. is the only series that occurs for hydrogen
C. is in the visible region
D. involves the lowest possible quantum number n
E. involves the highest possible quantum number n
ans: C
35. The principle of complementarity is due to:
A. Einstein
B. Maxwell
C. Newton
D. Bohr
E. Schrodinger
ans: D
Chapter 39: MORE ABOUT MATTER WAVES 593
36. Which of the following sets of quantum numbers is possible for an electron in a hydrogen atom?
A. n =4, =3,m
f
= −3
B. n =4, =4,m
f
= −2
C. n =5, = −1, m
f
=2
D. n =3, =1,m
f
= −2
E. n =2, =3,m
f
= −2
ans: A
37. The wave function for an electron in a state with zero angular momentum:
A. is zero everywhere
B. is spherically symmetric
C. depends on the angle from the z axis
D. depends on the angle from the x axis
E. is spherically symmetric for some shells and depends on the angle from the z axis for others
ans: B
38. Consider the following:
1. the probability density for an = 0 state
2. the probability density for a state with =0
3. the average of the probability densities for all states in an = 0 subshell
Of these which are spherically symmetric?
A. only 1
B. only 2
C. only 1 and 2
D. only 1 and 3
E. 1, 2, and 3
ans: D
39. If the wave function ψ is spherically symmetric then the radial probability density is given by:
A. 4πr
2
ψ
B. |ψ|
2
C. 4πr
2
|ψ|
2
D. 4π|ψ|
2
E. 4πr|ψ|
2
ans: C
40. If P (r) is the radial probability density then the probability that the separation of the electron
and proton is between r and r + dr is:
A. Pdr
B. |P |
2
dr
C. 4πr
2
Pdr
D. 4πr
2
|P | dr
E. 4π|P |
2
dr
ans: A
594 Chapter 39: MORE ABOUT MATTER WAVES
41. The radial probability density for the electron in the ground state of a hydrogen atom has a
peak at about:
A. 0.5pm
B. 5 pm
C. 50 pm
D. 500 pm
E. 5000 pm
ans: C
Chapter 39: MORE ABOUT MATTER WAVES 595
Chapter 40: ALL ABOUT ATOMS
1. The magnitude of the orbital angular momentum of an electron in an atom is what multiple
of ¯h?( is a positive integer.)
A. 1
B. 1/2
C.
0
( +1)
D. 2 +1
E.
2
ans: C
2. The magnetic quantum number m
is most closely associated with what property of an electron
in an atom?
A. Magnitude of the orbital angular momentum
B. Energy
C. z component of the spin angular momentum
D. z component of the orbital angular momentum
E. Radius of the orbit
ans: D
3. The quantum number m
s
is most closely associated with what property of the electron in an
atom?
A. Magnitude of the orbital angular momentum
B. Energy
C. z component of the spin angular momentum
D. z component of the orbital angular momentum
E. Radius of the orbit
ans: C
4. Possible values of the principal quantum number n for an electron in an atom are:
A. only 0 and 1
B. only 0, 1, 2, ..., ∞
C. only 0, 1, ..., − 1
D. only 1/2 and −1/2
E. only 1, 2, 3, ..., ∞
ans: E
5. The number of values of the orbital quantum number associated with the principal quantum
number n = 3 is:
A. 1
B. 2
C. 3
D. 4
E. 7
ans: C
596 Chapter 40: ALL ABOUT ATOMS
6. The number of possible values of the magnetic quantum number m
associated with a given
value of the orbital quantum number is:
A. 1
B. 2
C.
D. 2
E. 2 +1
ans: E
7. An atom is in a state with orbital quantum number = 2. Possible values of the magnetic
quantum number m
are:
A. 1, 2
B. 0, 1, 2
C. 0, 1
D. −1, 0, 1
E. −2, −1, 0, 1, 2
ans: E
8. An electron is in a quantum state for which the magnitude of the orbital angular momentum
is 6
√
2¯h. How many allowed values of the z component of the angular momentum are there?
A. 4
B. 5
C. 7
D. 8
E. 9
ans: D
9. An electron is in a quantum state for which there are seven allowed values of the z component
of the angular momentum. The magnitude of the angular momentum is:
A.
√
3¯h
B.
√
7¯h
C.
√
9¯h
D.
√
12¯h
E.
√
14¯h
ans: D
10. The number of states in a subshell with orbital quantum number = 3 is:
A. 2
B. 3
C. 7
D. 9
E. 14
ans: E
Chapter 40: ALL ABOUT ATOMS 597
11. The number of states in a shell with principal quantum number n = 3 is:
A. 3
B. 9
C. 15
D. 18
E. 25
ans: D
12. An electron in an atom is in a state with principal quantum number n = 4. The possible values
of the orbital quantum number are:
A. 1, 2, 3
B. 1, 2, 3, 4
C. −3, −2, −1, 0, 1, 2, 3
D. 0, 1, 2, 3
E. 0, 1, 2
ans: D
13. Space quantization means that:
A. space is quantized
B. L
z
can have only certain discrete values
C.
L and
−→
µ are in the same direction
D.
L and
−→
µ are in opposite directions
E. an electron has a magnetic dipole moment
ans: B
14. An electron in an atom is in a state with = 3 and m
= 2. The angle between
L and the z
axis is:
A. 48.2
◦
B. 60
◦
C. 30
◦
D. 35.3
◦
E. 54.7
◦
ans: E
15. An electron in an atom is in a state with = 5. The minimum angle between
L and the z axis
is:
A. 0
◦
B. 18.0
◦
C. 24.1
◦
D. 36.7
◦
E. 33.6
◦
ans: C
598 Chapter 40: ALL ABOUT ATOMS
16. In the relation µ
z
= −m
µ
B
, the quantity µ
B
is:
A. the Bohr magneton
B. the component of the dipole moment along the magnetic field
C. the permeability of the material
D. a friction coefficient
E. none of the above
ans: A
17. The electron states that constitute a single shell for an atom all have:
A. the same value of n
B. the same value of
C. the same value of n and the same value of
D. the same value of and the same value of m
E. the same set of all four quantum numbers
ans: A
18. The electron states that constitute a single subshell for an atom all have:
A. only the same value of n
B. only the same value of
C. only the same value of n and the same value of
D. only the same value of and the same value of m
E. the same set of all four quantum numbers
ans: C
19. The total number of electron states with n = 2 and = 1 for an atom is:
A. two
B. four
C. six
D. eight
E. ten
ans: C
20. The possible values for the magnetic quantum number m
s
of an electron in an atom:
A. depend on n
B. depend on
C. depend on both n and
D. depend on whether there is an external magnetic field present
E. are ±1/2
ans: E
21. The Stern-Gerlach experiment makes use of:
A. a strong uniform magnetic fi eld
B. a strong non-uniform magnetic field
C. a strong uniform electric field
D. a strong non-uniform electric field
E. strong perpendicular electric and magnetic fields
ans: B
Chapter 40: ALL ABOUT ATOMS 599
22. The magnetic field
B is along the z axis in a Stern-Gerlach experiment. The force it exerts on
a magnetic dipole with dipole moment µ is proportional to:
A. µ
2
z
B. B
2
C. dB/dz
D. d
2
B/dz
2
E.
$
Bdz
ans: C
23. A magnetic dipole µ is placed in a strong uniform magnetic field
B. The associated force
exerted on the dipole is:
A. along µ
B. along −µ
C. along
B
D. along µ ×
B
E. zero
ans: E
24. The force exerted on a magnetic dipole as it moves with velocity v through a Stern-Gerlach
apparatus is:
A. proportional to v
B. proportional to 1/v
C. zero
D. proportional to v
2
E. independent of v
ans: E
25. A magnetic dipole is placed between the poles of a magnet as shown. The direction of the
associated force exerted on the dipole is:
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NS........................................................
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µ
x
y
A. positive x
B. positive y
C. negative x
D. negative y
E. into or out of the page
ans: C
600 Chapter 40: ALL ABOUT ATOMS