Question 1

Rutherford's nuclear model of the atom was devised to account for the experimental fact that charged particles that bombarded the atoms

Accepted Answer

A)  ionized the atoms. 
B)  caused the atoms to recoil unexpectedly. 
C)  were themselves deflected through large angles. 
D)  None of the previous responses is valid. 
A)  ionized the atoms. 
B)  caused the atoms to recoil unexpectedly. 
C)  were themselves deflected through large angles. 
D)  None of the previous responses is valid. C

Question 2

In Bohr's theory of the atom, the logical consequences of electromagnetic theory and classical mechanics are valid during

Accepted Answer

A)  transitional processes. 
B)  stationary orbits. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid. 
A)  transitional processes. 
B)  stationary orbits. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid. D

Question 3

A single electron in orbit around a helium nucleus (charge = +2, mass $\approx$ 4) has energy levels $E _ { \mathrm { He } }$ that are related to those for the electron orbiting a hydrogen nucleus ( $E _ { \mathrm { H } }$ ) by the relation

Accepted Answer

A)  $E _ { \mathrm { He } } = 4 E _ { \mathrm { H } }$ 
B)  $E _ { \mathrm { He } } = 2 E _ { \mathrm { H } }$ 
C)  $E _ { \mathrm { He } } = \left( \frac { 1 } { 2 } \right) E _ { \mathrm { H } }$ 
D)  $E _ { \mathrm { He } } = \left( \frac { 1 } { 4 } \right) E _ { \mathrm { H } }$ 
A)  $E _ { \mathrm { He } } = 4 E _ { \mathrm { H } }$ 
B)  $E _ { \mathrm { He } } = 2 E _ { \mathrm { H } }$ 
C)  $E _ { \mathrm { He } } = \left( \frac { 1 } { 2 } \right) E _ { \mathrm { H } }$ 
D)  $E _ { \mathrm { He } } = \left( \frac { 1 } { 4 } \right) E _ { \mathrm { H } }$ C

Question 4

In the hierarchy of quantum numbers associated with the state of an atom, the order (from the highest-order number to the lowest-order number) is

Accepted Answer

A)  magnetic (m), orbital (l), principal (n), spin (s). 
B)  principal (n), spin (s), magnetic (m), orbital (l). 
C)  principal (n), orbital (l), magnetic (m), spin (s). 
D)  orbital (l), principal (n), magnetic (m), spin (s). 
A)  magnetic (m), orbital (l), principal (n), spin (s). 
B)  principal (n), spin (s), magnetic (m), orbital (l). 
C)  principal (n), orbital (l), magnetic (m), spin (s). 
D)  orbital (l), principal (n), magnetic (m), spin (s).

Question 5

An electron in the Bohr model is in an $n = 2$ state. The radius of the electron is

Accepted Answer

A)  $a _ { 0 }$ 
B)  $2 a _ { 0 }$ 
C)  $3 a _ { 0 }$ 
D)  $4 a _ { 0 }$ 
A)  $a _ { 0 }$ 
B)  $2 a _ { 0 }$ 
C)  $3 a _ { 0 }$ 
D)  $4 a _ { 0 }$

Question 6

The number of available states for the l = 4 subshell is

Accepted Answer

A)  4 
B)  8 
C)  9 
D)  18 
A)  4 
B)  8 
C)  9 
D)  18

Question 7

Particles obeying the Pauli Exclusion Principle have a spin of

Accepted Answer

A)  1/2. 
B)  1 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid. 
A)  1/2. 
B)  1 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid.

Question 8

Relative chemical activity is usually relatively high for atoms with an outer shell that is

Accepted Answer

A)  almost full. 
B)  almost empty. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid. 
A)  almost full. 
B)  almost empty. 
C)  Both of the first two responses are valid. 
D)  Neither of the first two responses is valid.

Question 9

An electron in the Bohr model is in an $n = 2$ state. Its energy level is

Accepted Answer

A)  -3.4 eV. 
B)  -6.8 eV. 
C)  -13.6 eV. 
D)  -9.2 eV. 
A)  -3.4 eV. 
B)  -6.8 eV. 
C)  -13.6 eV. 
D)  -9.2 eV.

Question 10

The formula for the de Broglie wavelength of a particle follows readily from the relations between energy E and frequency for light, frequency and wavelength for waves, and the specific relation between energy E and momentum p given in the equation

Accepted Answer

A)  $E = p \mathrm { c }$ , for a photon. 
B)  $E = \frac { p ^ { 2 } } { 2 m }$ , for a Newtonian particle in motion. 
C)  $E ^ { 2 } = ( p c ) ^ { 2 } + \left( m c ^ { 2 } \right) ^ { 2 }$ , for a relativistic particle in motion. 
D)  $E = m \mathrm { c } ^ { 2 }$ , for a relativistic particle at rest. 
A)  $E = p \mathrm { c }$ , for a photon. 
B)  $E = \frac { p ^ { 2 } } { 2 m }$ , for a Newtonian particle in motion. 
C)  $E ^ { 2 } = ( p c ) ^ { 2 } + \left( m c ^ { 2 } \right) ^ { 2 }$ , for a relativistic particle in motion. 
D)  $E = m \mathrm { c } ^ { 2 }$ , for a relativistic particle at rest.

Question 11

Rutherford's nuclear model, and electromagnetic theory, accounted for all of the following features of the atom except

Accepted Answer

A)  the order of magnitude of the frequency of the emitted radiation. 
B)  the electrical neutrality. 
C)  the stability. 
D)  Hold it! There are no exceptions. 
A)  the order of magnitude of the frequency of the emitted radiation. 
B)  the electrical neutrality. 
C)  the stability. 
D)  Hold it! There are no exceptions.

Question 12

A jogger of mass 66 kg runs at a speed of 2.1 m/s. The de Broglie wavelength of the jogger is

Accepted Answer

A)  $6.5 \times 10 ^ { - 34 }$ m. 
B)  $8.2 \times 10 ^ { - 35 }$ m. 
C)  $$1.2 \times 10 ^ { - 35 }$$ m. 
D)  $4.8 \times 10 ^ { - 36 }$ m. 
A)  $6.5 \times 10 ^ { - 34 }$ m. 
B)  $8.2 \times 10 ^ { - 35 }$ m. 
C)  $$1.2 \times 10 ^ { - 35 }$$ m. 
D)  $4.8 \times 10 ^ { - 36 }$ m.

Question 13

The shortest wavelength in the spectrum of the hydrogen atom is approximately

Accepted Answer

A)  1/1000 angstrom. 
B)  an angstrom. 
C)  1000 angstroms. 
D)  1,000,000 angstroms. 
A)  1/1000 angstrom. 
B)  an angstrom. 
C)  1000 angstroms. 
D)  1,000,000 angstroms.

Question 14

The approximate energy of the lowest Bohr orbit in the hydrogen atom is

Accepted Answer

A)  1/10 electron volt. 
B)  1 electron volt. 
C)  10 electron volts. 
D)  100 electron volts. 
A)  1/10 electron volt. 
B)  1 electron volt. 
C)  10 electron volts. 
D)  100 electron volts.

Question 15

The vibrational and the rotational states of molecules are both quantized. The parameters with allowed states that are integral multiples of the lowest state are, respectively,

Accepted Answer

A)  angular momentum and energy. 
B)  energy and energy. 
C)  energy and angular momentum. 
D)  angular momentum and angular momentum. 
A)  angular momentum and energy. 
B)  energy and energy. 
C)  energy and angular momentum. 
D)  angular momentum and angular momentum.

Question 16

One of Bohr's postulates for hydrogen was that the electron and the proton were stable in the atom only if some quantity had a minimum value or some integer times that minimum value. That quantity was

Accepted Answer

A)  energy. 
B)  charge. 
C)  angular momentum. 
D)  radius. 
A)  energy. 
B)  charge. 
C)  angular momentum. 
D)  radius.

Question 17

The shape of the orbits for the stationary states of the hydrogen atom is determined principally by the quantum number

Accepted Answer

A)  l. 
B)  m. 
C)  n. 
D)  s. 
A)  l. 
B)  m. 
C)  n. 
D)  s.

Question 18

The possible angular momentum of the electron in the hydrogen atom is related to the quantum number n by being proportional to

Accepted Answer

A)  n2. 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$ 
A)  n2. 
B)  n. 
C)  $\frac { 1 } { \mathrm { n } }$ 
D)  $\frac { 1 } { n ^ { 2 } }$

Question 19

The new theory of motion that governs the realm of subatomic particles is called

Accepted Answer

A)  general relativity. 
B)  thermodynamics. 
C)  quantum mechanics. 
D)  special relativity. 
A)  general relativity. 
B)  thermodynamics. 
C)  quantum mechanics. 
D)  special relativity.

Question 20

The hyperfine structure of the spectrum associated with the stationary states of the hydrogen atom is determined principally by the quantum number

Accepted Answer

A)  l. 
B)  m. 
C)  n. 
D)  s. 
A)  l. 
B)  m. 
C)  n. 
D)  s.

Exam 38: Spectral Lines, Bohrs Theory, and Quantum Mechanics

Rutherford's nuclear model of the atom was devised to account for the experimental fact that charged particles that bombarded the atoms

In Bohr's theory of the atom, the logical consequences of electromagnetic theory and classical mechanics are valid during

A single electron in orbit around a helium nucleus (charge = +2, mass ≈\approx≈ 4) has energy levels EHeE _ { \mathrm { He } }EHe​ that are related to those for the electron orbiting a hydrogen nucleus ( EHE _ { \mathrm { H } }EH​ ) by the relation

In the hierarchy of quantum numbers associated with the state of an atom, the order (from the highest-order number to the lowest-order number) is

An electron in the Bohr model is in an n=2n = 2n=2 state. The radius of the electron is

The number of available states for the l = 4 subshell is

Particles obeying the Pauli Exclusion Principle have a spin of

Relative chemical activity is usually relatively high for atoms with an outer shell that is

An electron in the Bohr model is in an n=2n = 2n=2 state. Its energy level is

The formula for the de Broglie wavelength of a particle follows readily from the relations between energy E and frequency for light, frequency and wavelength for waves, and the specific relation between energy E and momentum p given in the equation

Rutherford's nuclear model, and electromagnetic theory, accounted for all of the following features of the atom except

A jogger of mass 66 kg runs at a speed of 2.1 m/s. The de Broglie wavelength of the jogger is

The shortest wavelength in the spectrum of the hydrogen atom is approximately

The approximate energy of the lowest Bohr orbit in the hydrogen atom is

The vibrational and the rotational states of molecules are both quantized. The parameters with allowed states that are integral multiples of the lowest state are, respectively,

One of Bohr's postulates for hydrogen was that the electron and the proton were stable in the atom only if some quantity had a minimum value or some integer times that minimum value. That quantity was

The shape of the orbits for the stationary states of the hydrogen atom is determined principally by the quantum number

The possible angular momentum of the electron in the hydrogen atom is related to the quantum number n by being proportional to

The new theory of motion that governs the realm of subatomic particles is called

The hyperfine structure of the spectrum associated with the stationary states of the hydrogen atom is determined principally by the quantum number

Space, Time, and Mass

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Newtons Laws of Motion

Further Applications of Newtons Laws

Work and Energy

Conservation of Energy

Gravitation

Systems of Particles

Collisions

Rotation of a Rigid Body

Dynamics of a Rigid Body

Statics and Elasticity

Oscillations

Waves

Sound

Fluid Mechanics

The Ideal Gas

Heat

Thermodynamics

Electric Force and the Electric Charge

The Electric Field

Gauss Law

Electrostatic Potential and Energy

Capacitors and Dielectrics

Currents and Ohms Law

Direct Current Circuits

Magnetic Force and Field

Charges and Currents in Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

Reflection, Refraction, and Optics

Interference and Diffraction

The Theory of Special Relativity

Quanta of Light

Quantum Structure of Atoms, Molecules, and Solids

Nuclei

Elementary Particles and Cosmology

Filters

A single electron in orbit around a helium nucleus (charge = +2, mass $\approx$ 4) has energy levels $E _ { \mathrm { He } }$ that are related to those for the electron orbiting a hydrogen nucleus ( $E _ { \mathrm { H } }$ ) by the relation

An electron in the Bohr model is in an $n = 2$ state. The radius of the electron is

An electron in the Bohr model is in an $n = 2$ state. Its energy level is