Question 1

How "slow" must a 200-g ball move to have a de Broglie wavelength of 1.0 mm? (h = 6.626 × 10-34 J ∙ s)

Accepted Answer

Question 2

Which of the following statements are true for the Bohr model of the atom? (There could be more than one correct choice.)

Accepted Answer

A) The spacing between all the electron shells is the same. 
B) The energy difference between all the electron shells is the same. 
C) As we look at higher and higher electron shells, they get closer and closer together, but the difference in energy between them gets greater and greater. 
D) As we look at higher and higher electron shells, they get farther and farther apart, but the difference in energy between them gets smaller and smaller. 
E) There is no general pattern in the spacing of the shells or their energy differences. 
A) The spacing between all the electron shells is the same. 
B) The energy difference between all the electron shells is the same. 
C) As we look at higher and higher electron shells, they get closer and closer together, but the difference in energy between them gets greater and greater. 
D) As we look at higher and higher electron shells, they get farther and farther apart, but the difference in energy between them gets smaller and smaller. 
E) There is no general pattern in the spacing of the shells or their energy differences.

Question 3

After an electron has been accelerated through a potential difference of 0.15 kV,what is its de Broglie wavelength? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31 kg,h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A) 0.10 nm 
B) 1.0 nm 
C) 1.0 mm 
D) 1.0 cm 
A) 0.10 nm 
B) 1.0 nm 
C) 1.0 mm 
D) 1.0 cm

Question 4

What is the shortest wavelength of a photon that can be emitted by a hydrogen atom,for which the initial state is n = 3? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A) 822 nm 
B) 850 nm 
C) 103 nm 
D) 91.4 nm 
E) 950 nm 
A) 822 nm 
B) 850 nm 
C) 103 nm 
D) 91.4 nm 
E) 950 nm

Question 5

The magnetic quantum number m1 can have any integer value ranging from

Accepted Answer

A) -n to +n. 
B) -ℓ to +ℓ. 
C) 0 to n. 
D) 0 to ℓ. 
E) 0 to (n-1) 
A) -n to +n. 
B) -ℓ to +ℓ. 
C) 0 to n. 
D) 0 to ℓ. 
E) 0 to (n-1)

Question 6

A hydrogen atom is in the 6h state.What is the principal quantum number.

Accepted Answer

A) 0 
B) 3 
C) 5 
D) 6 
E) 7 
A) 0 
B) 3 
C) 5 
D) 6 
E) 7

Question 7

If a hydrogen atom originally in a state with principal quantum number n is excited to state n' = 2n,then

Accepted Answer

A) its radius and binding energy will double. 
B) its radius will quadruple and the binding energy will double. 
C) its radius will double and the binding energy will quadruple. 
D) its radius will quadruple and the binding energy will be reduced by a factor of four. 
E) its radius and binding energy will quadruple. 
A) its radius and binding energy will double. 
B) its radius will quadruple and the binding energy will double. 
C) its radius will double and the binding energy will quadruple. 
D) its radius will quadruple and the binding energy will be reduced by a factor of four. 
E) its radius and binding energy will quadruple.

Question 8

A hydrogen atom with a barely bound electron may have an average radius as large as a bacterium,which is a radius of $14 \mu \mathrm { m }$ What is the nearest principal quantum number of the atom in this state? The radius for ground state hydrogen is 0.0529 nm.

Accepted Answer

A) 514 
B) 51 
C) 16 
D) 264,650 
A) 514 
B) 51 
C) 16 
D) 264,650

Question 9

The Balmer series is formed by electron transitions in hydrogen that

Accepted Answer

A) end on the n = 1 shell. 
B) begin on the n = 1 shell. 
C) end on the n = 2 shell. 
D) begin on the n = 2 shell. 
E) are between the n = 1 and n = 3 shells. 
A) end on the n = 1 shell. 
B) begin on the n = 1 shell. 
C) end on the n = 2 shell. 
D) begin on the n = 2 shell. 
E) are between the n = 1 and n = 3 shells.

Question 10

The only valid electron state and shell designation among the following is

Accepted Answer

A) 1p, K (n = 1)shell. 
B) 2s, K (n = 1)shell. 
C) 1s, L (n = 2)shell. 
D) 2p, L (n = 2)shell. 
E) 3f, M (n = 3)shell. 
A) 1p, K (n = 1)shell. 
B) 2s, K (n = 1)shell. 
C) 1s, L (n = 2)shell. 
D) 2p, L (n = 2)shell. 
E) 3f, M (n = 3)shell.

Question 11

A proton and an electron are both accelerated to the same final kinetic energy.If λp is the de Broglie wavelength of the proton and λe is the de Broglie wavelength of the electron,then

Accepted Answer

A) λp > λe. 
B) λp = λe. 
C) λp e. 
A) λp > λe. 
B) λp = λe. 
C) λp e.

Question 12

Which of the following values can be taken by the electron spin quantum number,ms?

Accepted Answer

A) ±1/2 
B) 0 
C) ±1 
D) ±2 
E) ±3 
A) ±1/2 
B) 0 
C) ±1 
D) ±2 
E) ±3

Question 13

The longest wavelength photon that can be emitted by a hydrogen atom,for which the final state is $n = 9 ,$ is closest to which one of the following values? (c = 3.0 × 108 m/s, $1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J}$ $\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

Accepted Answer

A) 39,000 nm 
B) 22,000 nm 
C) 7400 nm 
D) 16,000 nm 
E) 28,000 nm 
A) 39,000 nm 
B) 22,000 nm 
C) 7400 nm 
D) 16,000 nm 
E) 28,000 nm

Question 14

If n = 5,which one of the following is not an allowed magnetic quantum number m1?

Accepted Answer

A) 0 
B) 2 
C) 4 
D) 5 
A) 0 
B) 2 
C) 4 
D) 5

Question 15

Given that the energy states of the hydrogen atom are given by En = $\frac { \text { Rch } } { n ^ { 2 } }$ ,where R = 1.097 × 107 m-1,what wavelength photon is emitted when the atom undergoes a transition from the n = 4 to the n = 6 state?

Accepted Answer

Question 16

A certain crystal has a spacing of 0.442 nm between atoms.A beam of neutrons moving with a speed of 1640 m/s perpendicular to the surface is diffracted as it passes through the crystal.What is the angle from the central maximum to the next interference maximum? (mneutron = 1.675 × 10-27 kg,h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A) 17.0° 
B) 21.0° 
C) 33.1° 
D) 60.0° 
E) 90.0° 
A) 17.0° 
B) 21.0° 
C) 33.1° 
D) 60.0° 
E) 90.0°

Question 17

What is the wavelength of the matter wave associated with a 0.50-kg ball moving at 25 m/s? (h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A) 3.5 × 10-35 m 
B) 5.3 × 10-35 m 
C) 3.5 × 10-33 m 
D) 5.3 × 10-33 m 
A) 3.5 × 10-35 m 
B) 5.3 × 10-35 m 
C) 3.5 × 10-33 m 
D) 5.3 × 10-33 m

Question 18

A hydrogen atom is excited to the n = 9 level.Its decay to the n = 6 level detected in a photographic plate.What is the frequency of the light photographed? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

Accepted Answer

A) 5.08 × 1013 Hz 
B) 5910 Hz 
C) 5910 nm 
D) 3.28 × 10-9 km 
A) 5.08 × 1013 Hz 
B) 5910 Hz 
C) 5910 nm 
D) 3.28 × 10-9 km

Question 19

Consider ground-state helium having two electrons in orbit.If one of the electrons has quantum numbers (n,ℓl,m1,ms)of 1,0,0,-1/2 respectively,the quantum numbers for the other electron will be

Accepted Answer

A) 1, 1, 0, -1/2. 
B) 1, 0, 0, +1/2. 
C) 1, 1, 1, +1/2. 
D) none of the given answers. 
A) 1, 1, 0, -1/2. 
B) 1, 0, 0, +1/2. 
C) 1, 1, 1, +1/2. 
D) none of the given answers.

Question 20

What is the shortest wavelength in the Balmer series?

Accepted Answer

A) 328 nm 
B) 365 nm 
C) 456 nm 
D) 656 nm 
E) 820 nm 
A) 328 nm 
B) 365 nm 
C) 456 nm 
D) 656 nm 
E) 820 nm

Exam 28: Atomic Physics

How "slow" must a 200-g ball move to have a de Broglie wavelength of 1.0 mm? (h = 6.626 × 10-34 J ∙ s)

Which of the following statements are true for the Bohr model of the atom? (There could be more than one correct choice.)

After an electron has been accelerated through a potential difference of 0.15 kV,what is its de Broglie wavelength? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31 kg,h = 6.626 × 10-34 J ∙ s)

What is the shortest wavelength of a photon that can be emitted by a hydrogen atom,for which the initial state is n = 3? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

The magnetic quantum number m1 can have any integer value ranging from

A hydrogen atom is in the 6h state.What is the principal quantum number.

If a hydrogen atom originally in a state with principal quantum number n is excited to state n' = 2n,then

A hydrogen atom with a barely bound electron may have an average radius as large as a bacterium,which is a radius of 14μm14 \mu \mathrm { m }14μm What is the nearest principal quantum number of the atom in this state? The radius for ground state hydrogen is 0.0529 nm.

The Balmer series is formed by electron transitions in hydrogen that

The only valid electron state and shell designation among the following is

A proton and an electron are both accelerated to the same final kinetic energy.If λp is the de Broglie wavelength of the proton and λe is the de Broglie wavelength of the electron,then

Which of the following values can be taken by the electron spin quantum number,ms?

If n = 5,which one of the following is not an allowed magnetic quantum number m1?

Given that the energy states of the hydrogen atom are given by En = Rch n2\frac { \text { Rch } } { n ^ { 2 } }n2 Rch ​ ,where R = 1.097 × 107 m-1,what wavelength photon is emitted when the atom undergoes a transition from the n = 4 to the n = 6 state?

What is the wavelength of the matter wave associated with a 0.50-kg ball moving at 25 m/s? (h = 6.626 × 10-34 J ∙ s)

A hydrogen atom is excited to the n = 9 level.Its decay to the n = 6 level detected in a photographic plate.What is the frequency of the light photographed? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

Consider ground-state helium having two electrons in orbit.If one of the electrons has quantum numbers (n,ℓl,m1,ms)of 1,0,0,-1/2 respectively,the quantum numbers for the other electron will be

What is the shortest wavelength in the Balmer series?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Gases

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Nuclear Physics

Particle Physics

Filters

How "slow" must a 200-g ball move to have a de Broglie wavelength of 1.0 mm? (h = 6.626 × 10^-34 J ∙ s)

After an electron has been accelerated through a potential difference of 0.15 kV,what is its de Broglie wavelength? (e = 1.60 × 10^-19 C,m_electron = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J ∙ s)

What is the shortest wavelength of a photon that can be emitted by a hydrogen atom,for which the initial state is n = 3? (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19J)

The magnetic quantum number m₁ can have any integer value ranging from

A hydrogen atom with a barely bound electron may have an average radius as large as a bacterium,which is a radius of $14 \mu \mathrm { m }$ What is the nearest principal quantum number of the atom in this state? The radius for ground state hydrogen is 0.0529 nm.

A proton and an electron are both accelerated to the same final kinetic energy.If λ_p is the de Broglie wavelength of the proton and λ_e is the de Broglie wavelength of the electron,then

Which of the following values can be taken by the electron spin quantum number,m_s?

If n = 5,which one of the following is not an allowed magnetic quantum number m₁?

Given that the energy states of the hydrogen atom are given by E_n = $\frac { \text { Rch } } { n ^ { 2 } }$ ,where R = 1.097 × 10⁷ m^-1,what wavelength photon is emitted when the atom undergoes a transition from the n = 4 to the n = 6 state?

What is the wavelength of the matter wave associated with a 0.50-kg ball moving at 25 m/s? (h = 6.626 × 10^-34 J ∙ s)

A hydrogen atom is excited to the n = 9 level.Its decay to the n = 6 level detected in a photographic plate.What is the frequency of the light photographed? (1 eV = 1.60 × 10^-19J,h = 6.626 × 10^-34 J ∙ s)

Consider ground-state helium having two electrons in orbit.If one of the electrons has quantum numbers (n,ℓl,m₁,m_s)of 1,0,0,-1/2 respectively,the quantum numbers for the other electron will be