Question 1

When a gold foil is bombarded with alpha particles, a small fraction of the alpha particles were scattered at large angles. The large scattering angles

Accepted Answer

A)  suggested that the positive charges in an atom were uniformly distributed throughout the atom. 
B)  were consistent with all of the negative charge of the atom being concentrated at the center of the atom. 
C)  suggested that the negative charges in an atom were uniformly distributed throughout the atom. 
D)  required that the positive charge and most of the mass of the atom be concentrated in a very small region. 
E)  were consistent with the idea that the atom has a neutral nucleus. 
A)  suggested that the positive charges in an atom were uniformly distributed throughout the atom. 
B)  were consistent with all of the negative charge of the atom being concentrated at the center of the atom. 
C)  suggested that the negative charges in an atom were uniformly distributed throughout the atom. 
D)  required that the positive charge and most of the mass of the atom be concentrated in a very small region. 
E)  were consistent with the idea that the atom has a neutral nucleus.

Question 2

The energy of the nth level in a one-electron atom is En = -13.6(Z2/n2) eV. Consider a beryllium ion with all but one of its electrons removed (a beryllium atom normally has four electrons). What is the wavelength of a photon emitted when the electron makes the transition from the third-lowest to the lowest energy state?

Accepted Answer

A)  1.03 * 10-7 m 
B)  2.03 * 10-8 m 
C)  6.43 * 10-9 m 
D)  5.71 * 10-9 m 
E)  1.03 * 10-27 m 
A)  1.03 * 10-7 m 
B)  2.03 * 10-8 m 
C)  6.43 * 10-9 m 
D)  5.71 * 10-9 m 
E)  1.03 * 10-27 m

Question 3

In the energy-level diagram, the line that corresponds to the longest wavelength in the Balmer series is

Accepted Answer

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

Question 4

A hydrogen atom is in the state n = 4,   = 3. The possible values of j are

Accepted Answer

A)  1/2 and 0 
B)  3/2 and 1/2 
C)  5/2 and 3/2 
D)  7/2 and 5/2 
E)  9/2 and 7/2 
A)  1/2 and 0 
B)  3/2 and 1/2 
C)  5/2 and 3/2 
D)  7/2 and 5/2 
E)  9/2 and 7/2

Question 5

In the Bohr model of the atom

Accepted Answer

A)  gravitational forces play a significant role. 
B)  electrons do not radiate energy when they are in a stable orbit. 
C)  the electrons spiral into the nucleus. 
D)  the energy of an electron in a stable orbit is an integral multiple of h/(2 $\pi$). 
E)  None of these is correct. 
A)  gravitational forces play a significant role. 
B)  electrons do not radiate energy when they are in a stable orbit. 
C)  the electrons spiral into the nucleus. 
D)  the energy of an electron in a stable orbit is an integral multiple of h/(2 $\pi$). 
E)  None of these is correct.

Question 6

A photon of wavelength 80 nm is absorbed by the electron in the ground-state level of the hydrogen atom. Is this enough energy to ionize the atom? If so calculate the kinetic energy of the free electron.

Accepted Answer

A)  No, ionization does not occur. 
B)  Yes, 1.9 eV 
C)  Yes, 12 eV 
D)  Yes, 29 eV 
E)  Yes, 19 eV 
A)  No, ionization does not occur. 
B)  Yes, 1.9 eV 
C)  Yes, 12 eV 
D)  Yes, 29 eV 
E)  Yes, 19 eV

Question 7

What is the energy difference between the transition with the longest wavelength in the Lyman series and the transition with the shortest wavelength in the Paschen series?

Accepted Answer

A)  10.2 eV 
B)  8.7 eV 
C)  4.9 eV 
D)  11.7 eV 
E)  12.1 eV 
A)  10.2 eV 
B)  8.7 eV 
C)  4.9 eV 
D)  11.7 eV 
E)  12.1 eV

Question 8

The portion of the graph indicated by the arrows corresponds to

Accepted Answer

A)  a continuum. 
B)  characteristic X-ray lines. 
C)  bremsstrahlung. 
D)  the Compton effect. 
E)  the maximum X-ray wavelength. 
A)  a continuum. 
B)  characteristic X-ray lines. 
C)  bremsstrahlung. 
D)  the Compton effect. 
E)  the maximum X-ray wavelength.

Question 9

It was _______ who showed that the periodic table of the elements can be understood in terms of the principle that "no two electrons in the same atomic system can have the same unique set of quantum numbers."

Accepted Answer

A)  N. Bohr 
B)  A. Einstein 
C)  W. Heisenberg 
D)  E. Schrödinger 
E)  W. Pauli 
A)  N. Bohr 
B)  A. Einstein 
C)  W. Heisenberg 
D)  E. Schrödinger 
E)  W. Pauli

Question 10

Which of the following statements is true?

Accepted Answer

A)  The size of the nucleus of an atom is $\backsim$ 5 times smaller than the size of the atom. 
B)  The size of an atom is determined by the electron cloud. 
C)  Most of an atom is empty space. 
D)  The mass of an atom is determined primarily by the mass of the nucleus. 
E)  All of these are correct. 
A)  The size of the nucleus of an atom is $\backsim$ 5 times smaller than the size of the atom. 
B)  The size of an atom is determined by the electron cloud. 
C)  Most of an atom is empty space. 
D)  The mass of an atom is determined primarily by the mass of the nucleus. 
E)  All of these are correct.

Question 11

For the hydrogen atom in the ground state, the radial probability density is   The probability of finding the electron in the range $\Delta$r = 0.04a0 at r = 2a0 is

Accepted Answer

A)  0.0463 
B)  0.0184 
C)  0.0217 
D)  0.0117 
E)  0.0341 
A)  0.0463 
B)  0.0184 
C)  0.0217 
D)  0.0117 
E)  0.0341

Question 12

An electron has a wave function given by   The probability of finding the electron when $\theta$ = 90 $\degree$ and $\Delta$$\theta$= $\pm$0.5 $\degree$10, and from r = a0 to 1.06a0 is approximately

Accepted Answer

A)  zero 
B)  2.12% 
C)  4.75% 
D)  5.8% 
E)  6.34% 
A)  zero 
B)  2.12% 
C)  4.75% 
D)  5.8% 
E)  6.34%

Question 13

A gas-discharge tube filled with hydrogen gas is placed in an external magnetic field and the spectrum is observed. Which of the following is found?

Accepted Answer

A)  The 1S state is split into multiple energy levels. 
B)  The 2S state is split into multiple energy levels. 
C)  The 3S state is split into multiple energy levels. 
D)  The 4S state is split into multiple energy levels. 
E)  The degeneracy of the states for l > 0 is removed. 
A)  The 1S state is split into multiple energy levels. 
B)  The 2S state is split into multiple energy levels. 
C)  The 3S state is split into multiple energy levels. 
D)  The 4S state is split into multiple energy levels. 
E)  The degeneracy of the states for l > 0 is removed.

Question 14

For an X-ray tube to produce X rays with a wavelength as short as 0.025 nm, the electrons must be accelerated by a potential difference of

Accepted Answer

A)  550 kV 
B)  0.25 V 
C)  500 kV 
D)  50 kV 
E)  1 V 
A)  550 kV 
B)  0.25 V 
C)  500 kV 
D)  50 kV 
E)  1 V

Question 15

What is the difference in energy of the K $\alpha$  X-ray lines of carbon (Z = 6) and silicon
(Z = 14)?

Accepted Answer

A)  1.14 keV 
B)  1.98 keV 
C)  1.47 keV 
D)  1.63 keV 
E)  None of these is correct. 
A)  1.14 keV 
B)  1.98 keV 
C)  1.47 keV 
D)  1.63 keV 
E)  None of these is correct.

Question 16

For the hydrogen atom in the ground state, the wave function is   The probability of finding the electron from r = 0 to r = a0 is approximately
Note:

Accepted Answer

A)  6.34% 
B)  12.7% 
C)  18.0% 
D)  32.3% 
E)  76.2% 
A)  6.34% 
B)  12.7% 
C)  18.0% 
D)  32.3% 
E)  76.2%

Question 17

The radii of the Bohr orbits in atomic hydrogen are given by   .
If the radius of the first Bohr orbit (n = 1) is 0.053 nm, the radius of the third Bohr orbit (n = 3) is

Accepted Answer

A)  0.16 nm 
B)  0.018 nm 
C)  0.48 nm 
D)  0.35 nm 
E)  1.3 nm 
A)  0.16 nm 
B)  0.018 nm 
C)  0.48 nm 
D)  0.35 nm 
E)  1.3 nm

Question 18

A hydrogen atom that has an electron with an orbital angular momentum   is placed in a magnetic field oriented in the z direction. The component of L in the z direction could be

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

The Pauli exclusion principle states that no two electrons in the same atom can have the same set of quantum numbers. This set of quantum numbers is

Accepted Answer

A)  n, j, mj, ms  
B)  n, l, s, j 
C)  n, l, m, ms  
D)  n, l, m, mj  
E)  n, p $\theta$ , ps, m 
A)  n, j, mj, ms  
B)  n, l, s, j 
C)  n, l, m, ms  
D)  n, l, m, mj  
E)  n, p $\theta$ , ps, m

Question 20

The total angular momentum is   , the orbital angular momentum is   , and the spin angular momentum is   . The relationship between these three quantities is

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

When a gold foil is bombarded with alpha particles, a small fraction of the alpha particles were scattered at large angles. The large scattering angles

In the energy-level diagram, the line that corresponds to the longest wavelength in the Balmer series is

A hydrogen atom is in the state n = 4, = 3. The possible values of j are

In the Bohr model of the atom

A photon of wavelength 80 nm is absorbed by the electron in the ground-state level of the hydrogen atom. Is this enough energy to ionize the atom? If so calculate the kinetic energy of the free electron.

What is the energy difference between the transition with the longest wavelength in the Lyman series and the transition with the shortest wavelength in the Paschen series?

The portion of the graph indicated by the arrows corresponds to

It was _______ who showed that the periodic table of the elements can be understood in terms of the principle that "no two electrons in the same atomic system can have the same unique set of quantum numbers."

Which of the following statements is true?

A gas-discharge tube filled with hydrogen gas is placed in an external magnetic field and the spectrum is observed. Which of the following is found?

For an X-ray tube to produce X rays with a wavelength as short as 0.025 nm, the electrons must be accelerated by a potential difference of

What is the difference in energy of the K _$\alpha$ X-ray lines of carbon (Z = 6) and silicon (Z = 14)?

For the hydrogen atom in the ground state, the wave function is The probability of finding the electron from r = 0 to r = a₀ is approximately Note:

The radii of the Bohr orbits in atomic hydrogen are given by . If the radius of the first Bohr orbit (n = 1) is 0.053 nm, the radius of the third Bohr orbit (n = 3) is

A hydrogen atom that has an electron with an orbital angular momentum is placed in a magnetic field oriented in the z direction. The component of L in the z direction could be

The Pauli exclusion principle states that no two electrons in the same atom can have the same set of quantum numbers. This set of quantum numbers is

The total angular momentum is , the orbital angular momentum is , and the spin angular momentum is . The relationship between these three quantities is

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

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Exam 16: Atoms

When a gold foil is bombarded with alpha particles, a small fraction of the alpha particles were scattered at large angles. The large scattering angles

In the energy-level diagram, the line that corresponds to the longest wavelength in the Balmer series is

A hydrogen atom is in the state n = 4, = 3. The possible values of j are

In the Bohr model of the atom

A photon of wavelength 80 nm is absorbed by the electron in the ground-state level of the hydrogen atom. Is this enough energy to ionize the atom? If so calculate the kinetic energy of the free electron.

What is the energy difference between the transition with the longest wavelength in the Lyman series and the transition with the shortest wavelength in the Paschen series?

The portion of the graph indicated by the arrows corresponds to

It was _______ who showed that the periodic table of the elements can be understood in terms of the principle that "no two electrons in the same atomic system can have the same unique set of quantum numbers."

Which of the following statements is true?

For the hydrogen atom in the ground state, the radial probability density is The probability of finding the electron in the range Δ\DeltaΔ r = 0.04a0 at r = 2a0 is

An electron has a wave function given by The probability of finding the electron when θ\thetaθ = 90 °\degree° and Δ\DeltaΔθ\thetaθ = ±\pm± 0.5 °\degree° 10, and from r = a0 to 1.06a0 is approximately

A gas-discharge tube filled with hydrogen gas is placed in an external magnetic field and the spectrum is observed. Which of the following is found?

For an X-ray tube to produce X rays with a wavelength as short as 0.025 nm, the electrons must be accelerated by a potential difference of

What is the difference in energy of the K α\alphaα X-ray lines of carbon (Z = 6) and silicon (Z = 14)?

For the hydrogen atom in the ground state, the wave function is The probability of finding the electron from r = 0 to r = a0 is approximately Note:

The radii of the Bohr orbits in atomic hydrogen are given by . If the radius of the first Bohr orbit (n = 1) is 0.053 nm, the radius of the third Bohr orbit (n = 3) is

A hydrogen atom that has an electron with an orbital angular momentum is placed in a magnetic field oriented in the z direction. The component of L in the z direction could be

The Pauli exclusion principle states that no two electrons in the same atom can have the same set of quantum numbers. This set of quantum numbers is

The total angular momentum is , the orbital angular momentum is , and the spin angular momentum is . The relationship between these three quantities is

The Electric Field I: Discrete Charge Distributions

The Electric Field II: Continuous Charge Distributions

Electric Potential

Capacitance

Electric Current and Direct-Current Circuits

The Magnetic Field

Sources of the Magnetic Field

Magnetic Induction

Alternating-Current Circuits

Maxwells Equations and Electromagnetic Waves

Properties of Light

Optical Images

Interference and Diffraction

Wave Particle Duality and Quantum Physics

Applications of the Schrodinger Equation

Molecules

Solids and the Theory of Conduction

Relativity

Nuclear Physics

Elementary Particles and the Beginning of the Universe

Filters

What is the difference in energy of the K _$\alpha$ X-ray lines of carbon (Z = 6) and silicon (Z = 14)?

For the hydrogen atom in the ground state, the wave function is The probability of finding the electron from r = 0 to r = a₀ is approximately Note: