Question 1

If P(r)is the radial probability density function for an electron in the ground state of a hydrogen atom,the most probable value for r can be found from

Accepted Answer

A) dP/dt 
B) dP/dr 
C)  $\int r P ( r ) 4 \pi r ^ { 2 } d r$ 
D)  $\int r P ( r ) d r$ 
E) d2P/dr2 
A) dP/dt 
B) dP/dr 
C)  $\int r P ( r ) 4 \pi r ^ { 2 } d r$ 
D)  $\int r P ( r ) d r$ 
E) d2P/dr2 B

Question 2

In an allowed electron transition in a hydrogen atom,

Accepted Answer

A) $\Delta$ $\ell$ = 0; $m _ { t }$ = 0,$\pm$1. 
B) $\Delta$ $\ell$ = 0,$\pm$1; $m _ { t }$ = $\pm$1. 
C) $\Delta$  $\ell$ = 0,$\pm$1; $m _ { t }$ = 0,$\pm$1. 
D) $\Delta$ $\ell$ = $\pm$1; $m _ { t }$ = 0,$\pm$1. 
E) $\Delta$  $\ell$ = $\pm$1; $m _ { t }$ = $\pm$1. 
A) $\Delta$ $\ell$ = 0; $m _ { t }$ = 0,$\pm$1. 
B) $\Delta$ $\ell$ = 0,$\pm$1; $m _ { t }$ = $\pm$1. 
C) $\Delta$  $\ell$ = 0,$\pm$1; $m _ { t }$ = 0,$\pm$1. 
D) $\Delta$ $\ell$ = $\pm$1; $m _ { t }$ = 0,$\pm$1. 
E) $\Delta$  $\ell$ = $\pm$1; $m _ { t }$ = $\pm$1. D

Question 3

The ground state configuration of chlorine (Z = 17)is

Accepted Answer

A) 1s2 2s2 2p5 3s2 3p6 
B) 1s2 2s2 2p6 3s2 3p5 
C) 1s2 2s2 2p6 3s2 3p4 3d1 
D) 1s2 2s2 2p6 3s2 3p5 4s1 
E) 1s2 2s2 2p6 3s1 3p7 
A) 1s2 2s2 2p5 3s2 3p6 
B) 1s2 2s2 2p6 3s2 3p5 
C) 1s2 2s2 2p6 3s2 3p4 3d1 
D) 1s2 2s2 2p6 3s2 3p5 4s1 
E) 1s2 2s2 2p6 3s1 3p7 B

Question 4

The probability density for the 1s state is given by |$\Psi$1s|2.The probability of finding the particle somewhere in space is

Accepted Answer

A)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } 4 \pi r ^ { 2 } d r$ 
B)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } d r$ 
C)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r d r$ 
D)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r ^ { 2 } d r$ 
E)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r ^ { 3 } d r$ 
A)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } 4 \pi r ^ { 2 } d r$ 
B)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } d r$ 
C)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r d r$ 
D)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r ^ { 2 } d r$ 
E)  $\int \left| \Psi _ { 1 s } \right| ^ { 2 } r ^ { 3 } d r$

Question 5

All quantum states forming a shell have the same

Accepted Answer

A) principal quantum number n. 
B) orbital quantum number $\ell$ 
C) orbital magnetic quantum number $m _ { t }$ . 
D) n, $\ell$ and $m _ { t }$ 
E) n and $\ell$ only. 
A) principal quantum number n. 
B) orbital quantum number $\ell$ 
C) orbital magnetic quantum number $m _ { t }$ . 
D) n, $\ell$ and $m _ { t }$ 
E) n and $\ell$ only.

Question 6

The K,L,M symbols represent values of the quantum number

Accepted Answer

A) n 
B)  $\ell$ 
C)  $\vec { B }$ 
D) ms 
E) mj 
A) n 
B)  $\ell$ 
C)  $\vec { B }$ 
D) ms 
E) mj

Question 7

Adam and Eve are contemplating the beauty of the hydrogen atom.Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number $\ell$ .Eve says that the Snake told her that a state with a given value of $\ell$ Could have any value of n.Which one,if either,is correct,and why?

Accepted Answer

A) Adam,because the man is always right. 
B) Adam because n $\le$$\ell$- 1. 
C) Eve,because n $\le$ $\ell$ - 1. 
D) Eve,because $\ell$ $\le$ n -1. 
E) Neither,because Adam is wrong and the Snake told a subtle lie. 
A) Adam,because the man is always right. 
B) Adam because n $\le$$\ell$- 1. 
C) Eve,because n $\le$ $\ell$ - 1. 
D) Eve,because $\ell$ $\le$ n -1. 
E) Neither,because Adam is wrong and the Snake told a subtle lie.

Question 8

An electron is moving at a speed of 2.1 *106 m/s in the first Bohr orbit.Determine its de Broglie wavelength.

Accepted Answer

A) 0.30 *10 - 10 m 
B) 1.7 *10 - 10 m 
C) 0.50 *10 - 10 m 
D) 3.5 *10 - 10 m 
E) 1.5 *10 - 10 m 
A) 0.30 *10 - 10 m 
B) 1.7 *10 - 10 m 
C) 0.50 *10 - 10 m 
D) 3.5 *10 - 10 m 
E) 1.5 *10 - 10 m

Question 9

The s,p,d,f,symbols represent values of the quantum number

Accepted Answer

A) ms 
B) n 
C)  $m _ { t }$ 
D)  $\ell$ 
E) mj 
A) ms 
B) n 
C)  $m _ { t }$ 
D)  $\ell$ 
E) mj

Question 10

The Pauli Exclusion Principle states

Accepted Answer

A) no two electrons in the same atom can have the same set of quantum numbers. 
B) there is an inherent uncertainty in the position and momentum of a particle. 
C) when an atom has orbitals of equal energy,the maximum number of electrons will have unpaired spins. 
D) when an atom has orbitals of equal energy,the maximum number of electrons will be paired spins. 
E) no two atoms can have the same set of quantum numbers. 
A) no two electrons in the same atom can have the same set of quantum numbers. 
B) there is an inherent uncertainty in the position and momentum of a particle. 
C) when an atom has orbitals of equal energy,the maximum number of electrons will have unpaired spins. 
D) when an atom has orbitals of equal energy,the maximum number of electrons will be paired spins. 
E) no two atoms can have the same set of quantum numbers.

Question 11

When using the Pauli Exclusion Principle,we assume the particle's spin angular momentum is of magnitude

Accepted Answer

A)  $\frac { 1 } { 2 } \hbar$ 
B)  $\frac { \sqrt { 3 } } { 2 } \hbar$ 
C)  $\hbar$ 
D) - $\hbar$ 
E)  $- \frac { 1 } { 2 } \hbar$ 
A)  $\frac { 1 } { 2 } \hbar$ 
B)  $\frac { \sqrt { 3 } } { 2 } \hbar$ 
C)  $\hbar$ 
D) - $\hbar$ 
E)  $- \frac { 1 } { 2 } \hbar$

Question 12

The magnitude of the spin angular momentum for an electron is equal to

Accepted Answer

A)  $\sqrt { 3 } \hbar$ 
B)  $\frac { \sqrt { 3 } } { 2 } \hbar$ 
C)  $\hbar$ /2. 
D)  $\hbar$ /2 
E)  $\frac { 3 } { 4 } \hbar$ 
A)  $\sqrt { 3 } \hbar$ 
B)  $\frac { \sqrt { 3 } } { 2 } \hbar$ 
C)  $\hbar$ /2. 
D)  $\hbar$ /2 
E)  $\frac { 3 } { 4 } \hbar$

Question 13

Characteristic x-rays can be produced by bombarding targets with electrons.These x-rays occur when

Accepted Answer

A) electrons from higher shells fill the vacant lower shell 
B) electrons fill the vacant valence shell 
C) photons are emitted with energies on the order of 103 eV 
D) photons are emitted with wavelengths on the order of 103 nm 
A) electrons from higher shells fill the vacant lower shell 
B) electrons fill the vacant valence shell 
C) photons are emitted with energies on the order of 103 eV 
D) photons are emitted with wavelengths on the order of 103 nm

Question 14

In a shell of the hydrogen atom with n = 3,the permitted values of the orbital magnetic quantum number $m _ { t }$ are

Accepted Answer

A) -1,0,1 
B) 2,1,0 
C) 2,1,0,-1,-2 
D) 0 
E) 3,2,1,0,-1,-2,-3 
A) -1,0,1 
B) 2,1,0 
C) 2,1,0,-1,-2 
D) 0 
E) 3,2,1,0,-1,-2,-3

Question 15

Rubidium (Z = 37)and potassium (Z = 19)are similar to sodium in that they have ____ electron(s)in the outermost shell.

Accepted Answer

A) five p 
B) three p 
C) two s 
D) one d 
E) one s 
A) five p 
B) three p 
C) two s 
D) one d 
E) one s

Question 16

The allowed values of n for the Li2+ ion are

Accepted Answer

A) 1 to $\infty$ 
B) 2 to $\infty$ 
C) 3 to $\infty$ 
D) any real number 
E) 1 to 10 
A) 1 to $\infty$ 
B) 2 to $\infty$ 
C) 3 to $\infty$ 
D) any real number 
E) 1 to 10

Question 17

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

Accepted Answer

A) 18 
B) 25 
C) 50 
D) 9 
E) 11 
A) 18 
B) 25 
C) 50 
D) 9 
E) 11

Question 18

The allowed values of $\ell$ for the n = 3 shell in a Li2+ ion are

Accepted Answer

A) 1,2 
B) 0,1 
C) 0,1,2 
D) 0,1,2,3 
E) 1,2,3 
A) 1,2 
B) 0,1 
C) 0,1,2 
D) 0,1,2,3 
E) 1,2,3

Question 19

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron.Bevis says that it comes from the electron spin.Which one,if either,is correct,and why?

Accepted Answer

A) Aline,because only atoms,not electrons,can have angular momentum. 
B) Bevis,because only atoms,not electrons,can have angular momentum. 
C) Neither,because electron spin and orbital angular momentum always cancel exactly. 
D) Neither,because the magnetic moment of an atom comes only from the spin of the nucleus. 
E) Both,because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom. 
A) Aline,because only atoms,not electrons,can have angular momentum. 
B) Bevis,because only atoms,not electrons,can have angular momentum. 
C) Neither,because electron spin and orbital angular momentum always cancel exactly. 
D) Neither,because the magnetic moment of an atom comes only from the spin of the nucleus. 
E) Both,because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom.

Question 20

Forbidden transitions and selection rules suggest that

Accepted Answer

A) a photon has linear momentum. 
B) a photon has energy. 
C) a photon has angular momentum. 
D) a photon has parity. 
E) a photon has mass. 
A) a photon has linear momentum. 
B) a photon has energy. 
C) a photon has angular momentum. 
D) a photon has parity. 
E) a photon has mass.

Exam 29: Atomic Physics

If P(r)is the radial probability density function for an electron in the ground state of a hydrogen atom,the most probable value for r can be found from

In an allowed electron transition in a hydrogen atom,

The ground state configuration of chlorine (Z = 17)is

The probability density for the 1s state is given by | Ψ\PsiΨ 1s|2.The probability of finding the particle somewhere in space is

All quantum states forming a shell have the same

The K,L,M symbols represent values of the quantum number

An electron is moving at a speed of 2.1 *106 m/s in the first Bohr orbit.Determine its de Broglie wavelength.

The s,p,d,f,symbols represent values of the quantum number

The Pauli Exclusion Principle states

When using the Pauli Exclusion Principle,we assume the particle's spin angular momentum is of magnitude

The magnitude of the spin angular momentum for an electron is equal to

Characteristic x-rays can be produced by bombarding targets with electrons.These x-rays occur when

In a shell of the hydrogen atom with n = 3,the permitted values of the orbital magnetic quantum number mtm _ { t }mt​ are

Rubidium (Z = 37)and potassium (Z = 19)are similar to sodium in that they have ____ electron(s)in the outermost shell.

The allowed values of n for the Li2+ ion are

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

The allowed values of ℓ\ellℓ for the n = 3 shell in a Li2+ ion are

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron.Bevis says that it comes from the electron spin.Which one,if either,is correct,and why?

Forbidden transitions and selection rules suggest that

Introduction and Vectors

Motion in One Dimension

Motion in Two Dimensions

The Laws of Motion

More Applications of Newtons Laws

Energy of a System

Conservation of Energy

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Relativity

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Oscillatory Motion

Mechanical Waves

Superposition and Standing Waves

Fluid Mechanics

Temperature and the Kinetic Theory of Gases

Energy in Thermal Processes: the First Law of Thermodynamics

Heat Engines,entropy,and the Second Law of Thermodynamics

Electric Forces and Electric Fields

Electric Potential and Capacitance

Current and Direct Current Circuits

Magnetic Forces and Magnetic Fields

Faradays Law and Inductance

Electromagnetic Waves

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Quantum Physics

Nuclear Physics

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Filters

The probability density for the 1s state is given by | $\Psi$ ₁_s|².The probability of finding the particle somewhere in space is

An electron is moving at a speed of 2.1 *10⁶ m/s in the first Bohr orbit.Determine its de Broglie wavelength.

In a shell of the hydrogen atom with n = 3,the permitted values of the orbital magnetic quantum number $m _ { t }$ are

The allowed values of n for the Li²⁺ ion are

The number of states in the He⁺ ion corresponding to the principle quantum number n = 5 are

The allowed values of $\ell$ for the n = 3 shell in a Li²⁺ ion are