Question 1

The orbital angular momentum quantum number can take which of the following values for any given value of the principal quantum number, n?

Accepted Answer

A)  $\ell = 1,2,3,4 , \ldots , ( n + 1 )$ 
B)  $\ell = 1,2,3,4 , \ldots$ 
C)  $\ell = 0,1,2 , \ldots , ( n - 1 )$ 
D)  $\ell = 0,1,2 , \ldots$ 
E)  $\ell = 0,1,2 , \ldots , n$ 
A)  $\ell = 1,2,3,4 , \ldots , ( n + 1 )$ 
B)  $\ell = 1,2,3,4 , \ldots$ 
C)  $\ell = 0,1,2 , \ldots , ( n - 1 )$ 
D)  $\ell = 0,1,2 , \ldots$ 
E)  $\ell = 0,1,2 , \ldots , n$

Question 2

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

Accepted Answer

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

Question 3

An atom with atomic number 6 is in its ground state. How many electrons are in its outermost shell?

Accepted Answer

The answer of An atom with atomic number 6 is...

Question 4

How many values can the magnetic quantum number have in a hydrogen atom for which the orbital angular momentum quantum number is equal to 8?

Accepted Answer

A)  8 
B)  5 
C)  15 
D)  9 
E)  17 
A)  8 
B)  5 
C)  15 
D)  9 
E)  17

Question 5

What is the minimum angle between the $z$-axis (or any other axis you choose) and the orbital angular momentum of an electron in the $n = 4$ state?

Accepted Answer

A)  $60.0 ^ { \circ }$ 
B)  $30.0 ^ { \circ }$ 
C)  $41.4 ^ { \circ }$ 
D)  $45.0 ^ { \circ }$ 
A)  $60.0 ^ { \circ }$ 
B)  $30.0 ^ { \circ }$ 
C)  $41.4 ^ { \circ }$ 
D)  $45.0 ^ { \circ }$

Question 6

An electron inside a hydrogen atom is confined to within a space of about $0.12 \mathrm {~nm}$. What is the uncertainty in this electron's speed? (melectron $= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

Accepted Answer

A)  $4.8 \times 106 \mathrm {~m} / \mathrm { s }$ 
B)  $3.1 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$ 
C)  $3.1 \mathrm {~km} / \mathrm { s }$ 
D)  $9.6 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$ 
E)  $4.8 \mathrm {~m} / \mathrm { s }$ 
A)  $4.8 \times 106 \mathrm {~m} / \mathrm { s }$ 
B)  $3.1 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$ 
C)  $3.1 \mathrm {~km} / \mathrm { s }$ 
D)  $9.6 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$ 
E)  $4.8 \mathrm {~m} / \mathrm { s }$

Question 7

The values of $n$ and $\ell$ for a $4 f$ subshell are

Accepted Answer

A)  $n = 3 , \ell = - 3$. 
B)  $n = 4 , l = 3$. 
C)  $n = 4 , l = 4$. 
D)  $n = 3 , l = 3$. 
E)  $n = 4 , \ell = 2$. 
A)  $n = 3 , \ell = - 3$. 
B)  $n = 4 , l = 3$. 
C)  $n = 4 , l = 4$. 
D)  $n = 3 , l = 3$. 
E)  $n = 4 , \ell = 2$.

Question 8

A hydrogen atom is in the 6h state. Which one of the following numbers could be an orbital angular momentum quantum number ʆ for that state?

Accepted Answer

A)  5 
B)  6 
C)  8 
D)  9 
E)  7 
A)  5 
B)  6 
C)  8 
D)  9 
E)  7

Question 9

The principal quantum number n can have any integer value ranging from

Accepted Answer

A)  1 to 100 . 
B)  $- \infty$ to $+ \infty$. 
C)  0 to $\infty$. 
D)  1 to $\infty$. 
A)  1 to 100 . 
B)  $- \infty$ to $+ \infty$. 
C)  0 to $\infty$. 
D)  1 to $\infty$.

Question 10

A $10 - \mathrm { g }$ bouncy ball is confined in a $8.3 - \mathrm { cm }$-long box. What is its minimum energy? $( h = 6.626 \times$ $10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

Accepted Answer

A)  $3.2 \times 10 ^ { - 46 } \mathrm {~J}$ 
B)  $8.1 \times 10 ^ { - 65 } \mathrm {~J}$ 
C)  $9.4 \times 10 ^ { - 75 } \mathrm {~J}$ 
D)  $1.3 \times 10 ^ { - 20 } \mathrm {~J}$ 
A)  $3.2 \times 10 ^ { - 46 } \mathrm {~J}$ 
B)  $8.1 \times 10 ^ { - 65 } \mathrm {~J}$ 
C)  $9.4 \times 10 ^ { - 75 } \mathrm {~J}$ 
D)  $1.3 \times 10 ^ { - 20 } \mathrm {~J}$

Question 11

How many 3d electron states can an atom have?

Accepted Answer

A)  6 
B)  8 
C)  4 
D)  10 
E)  0 
A)  6 
B)  8 
C)  4 
D)  10 
E)  0

Question 12

For the ground state of the hydrogen atom, which of the following numbers represents the correct value of the orbital angular momentum quantum number?

Accepted Answer

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

Question 13

How many possible sets of electron states (or quantum numbers) are there in the 5f subshell?

Accepted Answer

A)  14 
B)  2 
C)  8 
D)  10 
A)  14 
B)  2 
C)  8 
D)  10

Question 14

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

Accepted Answer

A)  $2 s , \mathrm {~K} ( n = 1 )$ shell. 
B)  $1 p , \mathrm {~K} ( n = 1 )$ shell. 
C)  $2 p , \mathrm {~L} ( n = 2 )$ shell. 
D)  $1 s , L ( n = 2 )$ shell. 
E)  $3 f , \mathrm { M } ( n = 3 )$ shell. 
A)  $2 s , \mathrm {~K} ( n = 1 )$ shell. 
B)  $1 p , \mathrm {~K} ( n = 1 )$ shell. 
C)  $2 p , \mathrm {~L} ( n = 2 )$ shell. 
D)  $1 s , L ( n = 2 )$ shell. 
E)  $3 f , \mathrm { M } ( n = 3 )$ shell.

Question 15

If $\ell = 4$, which one of the following is a possible quantum number for $n$ ?

Accepted Answer

A)  4 
B)  2 
C)  3 
D)  0 
E)  8 
A)  4 
B)  2 
C)  3 
D)  0 
E)  8

Question 16

The energy released when an unstable electron state decays has an uncertainty of about $0.50 \mathrm { eV }$. What is the uncertainty in the life-time of the level? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right.$ )

Accepted Answer

A)  $8.3 \times 10 ^ { - 15 } \mathrm {~s}$ 
B)  $1.3 \times 10 ^ { - 11 } \mathrm {~s}$ 
C)  $8.3 \times 10 ^ { - 11 } \mathrm {~s}$ 
D)  $1.3 \times 10 ^ { - 15 } \mathrm {~s}$ 
A)  $8.3 \times 10 ^ { - 15 } \mathrm {~s}$ 
B)  $1.3 \times 10 ^ { - 11 } \mathrm {~s}$ 
C)  $8.3 \times 10 ^ { - 11 } \mathrm {~s}$ 
D)  $1.3 \times 10 ^ { - 15 } \mathrm {~s}$

Question 17

In a hydrogen atom, an electron with n = 7 can exist in how many different quantum states?

Accepted Answer

A)  6 
B)  98 
C)  7 
D)  15 
A)  6 
B)  98 
C)  7 
D)  15

Question 18

The electron spin quantum number can have values of

Accepted Answer

A)  $- 1 / 2 , + 1 / 2$. 
B)  only $+ 1 / 2$. 
C)  $- 1 / 2 , - 1 , + 1 , + 1 / 2$. 
D)  $- 1 / 2 , - 1,0 , + 1 , + 1 / 2$. 
E)  $- 1 / 2,0 , + 1 / 2$. 
A)  $- 1 / 2 , + 1 / 2$. 
B)  only $+ 1 / 2$. 
C)  $- 1 / 2 , - 1 , + 1 , + 1 / 2$. 
D)  $- 1 / 2 , - 1,0 , + 1 , + 1 / 2$. 
E)  $- 1 / 2,0 , + 1 / 2$.

Question 19

What is the correct ground state electron configuration of boron, which has 5 electrons?

Accepted Answer

A)  $1 s ^ { 2 } 2 p ^ { 3 }$ 
B)  $1 s ^ { 2 } 1 p ^ { 2 } 2 s$ 
C)  $1 s ^ { 2 } 2 p ^ { 2 } 3 s$ 
D)  $1 s ^ { 2 } 2 s ^ { 2 } 2 p$ 
E)  $1 s ^ { 2 } 2 s ^ { 2 } 2 p ^ { 3 }$ 
A)  $1 s ^ { 2 } 2 p ^ { 3 }$ 
B)  $1 s ^ { 2 } 1 p ^ { 2 } 2 s$ 
C)  $1 s ^ { 2 } 2 p ^ { 2 } 3 s$ 
D)  $1 s ^ { 2 } 2 s ^ { 2 } 2 p$ 
E)  $1 s ^ { 2 } 2 s ^ { 2 } 2 p ^ { 3 }$

Question 20

A hydrogen atom is in the $6 h$ state. How many electrons are allowed in this state?

Accepted Answer

A)  18 
B)  10 
C)  14 
D)  22 
E)  6 
A)  18 
B)  10 
C)  14 
D)  22 
E)  6

Exam 28: Quantum Mechanics of Atoms

The orbital angular momentum quantum number can take which of the following values for any given value of the principal quantum number, n?

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

An atom with atomic number 6 is in its ground state. How many electrons are in its outermost shell?

How many values can the magnetic quantum number have in a hydrogen atom for which the orbital angular momentum quantum number is equal to 8?

What is the minimum angle between the zzz -axis (or any other axis you choose) and the orbital angular momentum of an electron in the n=4n = 4n=4 state?

The values of nnn and ℓ\ellℓ for a 4f4 f4f subshell are

A hydrogen atom is in the 6h state. Which one of the following numbers could be an orbital angular momentum quantum number ʆ for that state?

The principal quantum number n can have any integer value ranging from

A 10−g10 - \mathrm { g }10−g bouncy ball is confined in a 8.3−cm8.3 - \mathrm { cm }8.3−cm -long box. What is its minimum energy? (h=6.626×( h = 6.626 \times(h=6.626× 10−34 J⋅s10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }10−34 J⋅s )

How many 3d electron states can an atom have?

For the ground state of the hydrogen atom, which of the following numbers represents the correct value of the orbital angular momentum quantum number?

How many possible sets of electron states (or quantum numbers) are there in the 5f subshell?

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

If ℓ=4\ell = 4ℓ=4 , which one of the following is a possible quantum number for nnn ?

In a hydrogen atom, an electron with n = 7 can exist in how many different quantum states?

The electron spin quantum number can have values of

What is the correct ground state electron configuration of boron, which has 5 electrons?

A hydrogen atom is in the 6h6 h6h state. How many electrons are allowed in this state?

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Filters

What is the minimum angle between the $z$ -axis (or any other axis you choose) and the orbital angular momentum of an electron in the $n = 4$ state?

The values of $n$ and $\ell$ for a $4 f$ subshell are

A $10 - \mathrm { g }$ bouncy ball is confined in a $8.3 - \mathrm { cm }$ -long box. What is its minimum energy? $( h = 6.626 \times$ $10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

If $\ell = 4$ , which one of the following is a possible quantum number for $n$ ?

A hydrogen atom is in the $6 h$ state. How many electrons are allowed in this state?